Search a number
-
+
147979865772 = 223219619349507
BaseRepresentation
bin1000100111010001001…
…0011000111010101100
3112010221222020001200100
42021310102120322230
54411030321201042
6151551522031100
713456036051044
oct2116422307254
9463858201610
10147979865772
115783785a432
122481a1a8490
1310c53ba586b
14723b374724
153cb159124c
hex2274498eac

147979865772 has 72 divisors (see below), whose sum is σ = 394384827200. Its totient is φ = 46654856928.

The previous prime is 147979865741. The next prime is 147979865773. The reversal of 147979865772 is 277568979741.

147979865772 is a `hidden beast` number, since 1 + 47 + 9 + 7 + 9 + 8 + 6 + 577 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 147979865772.

It is not an unprimeable number, because it can be changed into a prime (147979865773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 248643 + ... + 598149.

Almost surely, 2147979865772 is an apocalyptic number.

147979865772 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 147979865772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197192413600).

147979865772 is an abundant number, since it is smaller than the sum of its proper divisors (246404961428).

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

147979865772 is a wasteful number, since it uses less digits than its factorization.

147979865772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350155 (or 350150 counting only the distinct ones).

The product of its digits is 373403520, while the sum is 72.

The spelling of 147979865772 in words is "one hundred forty-seven billion, nine hundred seventy-nine million, eight hundred sixty-five thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 619 684 1238 1857 2476 3714 5571 7428 11142 11761 22284 23522 35283 47044 70566 105849 141132 211698 349507 423396 699014 1048521 1398028 2097042 3145563 4194084 6291126 6640633 12582252 13281266 19921899 26562532 39843798 59765697 79687596 119531394 216344833 239062788 432689666 649034499 865379332 1298068998 1947103497 2596137996 3894206994 4110551827 7788413988 8221103654 12331655481 16442207308 24663310962 36994966443 49326621924 73989932886 147979865772