Search a number
-
+
1899924699312 = 24337369187187
BaseRepresentation
bin11011101001011100010…
…101100011100010110000
320201122001000111211121000
4123221130111203202300
5222112021210334222
64012451404002000
7254156622325023
oct33513425434260
96648030454530
101899924699312
11672831a64212
12268274b30300
1310a21527b513
1467d5782b1ba
153464c36b9ac
hex1ba5c5638b0

1899924699312 has 160 divisors (see below), whose sum is σ = 5536256648960. Its totient is φ = 623721669120.

The previous prime is 1899924699199. The next prime is 1899924699317. The reversal of 1899924699312 is 2139964299981.

1899924699312 is a `hidden beast` number, since 18 + 99 + 92 + 46 + 99 + 312 = 666.

It is a super-3 number, since 3×18999246993123 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1899924699317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21747783 + ... + 21834969.

It is an arithmetic number, because the mean of its divisors is an integer number (34601604056).

Almost surely, 21899924699312 is an apocalyptic number.

1899924699312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1899924699312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2768128324480).

1899924699312 is an abundant number, since it is smaller than the sum of its proper divisors (3636331949648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1899924699312 is a wasteful number, since it uses less digits than its factorization.

1899924699312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87968 (or 87956 counting only the distinct ones).

The product of its digits is 136048896, while the sum is 72.

The spelling of 1899924699312 in words is "one trillion, eight hundred ninety-nine billion, nine hundred twenty-four million, six hundred ninety-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 73 108 144 146 216 219 292 432 438 584 657 691 876 1168 1314 1382 1752 1971 2073 2628 2764 3504 3942 4146 5256 5528 6219 7884 8292 10512 11056 12438 15768 16584 18657 24876 31536 33168 37314 49752 50443 74628 87187 99504 100886 149256 151329 174374 201772 261561 298512 302658 348748 403544 453987 523122 605316 697496 784683 807088 907974 1046244 1210632 1361961 1394992 1569366 1815948 2092488 2354049 2421264 2723922 3138732 3631896 4184976 4708098 5447844 6277464 6364651 7263792 9416196 10895688 12554928 12729302 18832392 19093953 21791376 25458604 37664784 38187906 50917208 57281859 60246217 76375812 101834416 114563718 120492434 152751624 171845577 180738651 229127436 240984868 305503248 343691154 361477302 458254872 481969736 542215953 687382308 722954604 916509744 963939472 1084431906 1374764616 1445909208 1626647859 2168863812 2749529232 2891818416 3253295718 4337727624 4397973841 6506591436 8675455248 8795947682 13013182872 13193921523 17591895364 26026365744 26387843046 35183790728 39581764569 52775686092 70367581456 79163529138 105551372184 118745293707 158327058276 211102744368 237490587414 316654116552 474981174828 633308233104 949962349656 1899924699312