Search a number
-
+
2319128480772 = 22354439835479
BaseRepresentation
bin100001101111110110110…
…101000100110000000100
322012201002001101101100000
4201233312311010300010
5300444033342341042
64533220511521300
7326360110556055
oct41576665046004
98181061341300
102319128480772
1181459a627884
12315567529230
1313a90133684c
148036425272c
15404d4b5474c
hex21bf6d44c04

2319128480772 has 144 divisors (see below), whose sum is σ = 6100396323840. Its totient is φ = 770372542368.

The previous prime is 2319128480729. The next prime is 2319128480789. The reversal of 2319128480772 is 2770848219132.

2319128480772 is a `hidden beast` number, since 2 + 3 + 1 + 91 + 2 + 8 + 480 + 7 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 423273129 + ... + 423278607.

It is an arithmetic number, because the mean of its divisors is an integer number (42363863360).

Almost surely, 22319128480772 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2319128480772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3050198161920).

2319128480772 is an abundant number, since it is smaller than the sum of its proper divisors (3781267843068).

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

2319128480772 is a wasteful number, since it uses less digits than its factorization.

2319128480772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6924 (or 6910 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 2319128480772 in words is "two trillion, three hundred nineteen billion, one hundred twenty-eight million, four hundred eighty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 443 486 886 972 983 1329 1772 1966 2658 2949 3932 3987 5316 5479 5898 7974 8847 10958 11796 11961 15948 16437 17694 21916 23922 26541 32874 35388 35883 47844 49311 53082 65748 71766 79623 98622 106164 107649 143532 147933 159246 197244 215298 238869 295866 318492 430596 435469 443799 477738 591732 870938 887598 955476 1306407 1331397 1741876 1775196 2427197 2612814 2662794 3919221 4854394 5225628 5325588 5385857 7281591 7838442 9708788 10771714 11757663 14563182 15676884 16157571 21543428 21844773 23515326 29126364 32315142 35272989 43689546 47030652 48472713 64630284 65534319 70545978 87379092 96945426 105818967 131068638 141091956 145418139 193890852 196602957 211637934 262137276 290836278 393205914 423275868 436254417 581672556 589808871 786411828 872508834 1179617742 1308763251 1745017668 2359235484 2385934651 2617526502 4771869302 5235053004 7157803953 9543738604 14315607906 21473411859 28631215812 42946823718 64420235577 85893647436 128840471154 193260706731 257680942308 386521413462 579782120193 773042826924 1159564240386 2319128480772