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3245139516576 = 253151353634177
BaseRepresentation
bin101111001110010001011…
…000110101110010100000
3102111020021100111222202210
4233032101120311302200
5411132021204012301
610522444014042120
7453311403524166
oct57162130656240
912436240458683
103245139516576
11104128a724881
12444b1a7a9340
131a702792b4a9
14b30cbda3236
15596309b4ad6
hex2f391635ca0

3245139516576 has 96 divisors (see below), whose sum is σ = 8599210155648. Its totient is φ = 1071503769600.

The previous prime is 3245139516571. The next prime is 3245139516629. The reversal of 3245139516576 is 6756159315423.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×32451395165762 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3245139516571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4800000 + ... + 5434176.

It is an arithmetic number, because the mean of its divisors is an integer number (89575105788).

Almost surely, 23245139516576 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 3245139516576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4299605077824).

3245139516576 is an abundant number, since it is smaller than the sum of its proper divisors (5354070639072).

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

3245139516576 is a wasteful number, since it uses less digits than its factorization.

3245139516576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634694 (or 634686 counting only the distinct ones).

The product of its digits is 20412000, while the sum is 57.

The spelling of 3245139516576 in words is "three trillion, two hundred forty-five billion, one hundred thirty-nine million, five hundred sixteen thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 151 302 353 453 604 706 906 1059 1208 1412 1812 2118 2416 2824 3624 4236 4832 5648 7248 8472 11296 14496 16944 33888 53303 106606 159909 213212 319818 426424 634177 639636 852848 1268354 1279272 1705696 1902531 2536708 2558544 3805062 5073416 5117088 7610124 10146832 15220248 20293664 30440496 60880992 95760727 191521454 223864481 287282181 383042908 447728962 574564362 671593443 766085816 895457924 1149128724 1343186886 1532171632 1790915848 2298257448 2686373772 3064343264 3581831696 4596514896 5372747544 7163663392 9193029792 10745495088 21490990176 33803536631 67607073262 101410609893 135214146524 202821219786 270428293048 405642439572 540856586096 811284879144 1081713172192 1622569758288 3245139516576