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9945521712 = 2433710132563
BaseRepresentation
bin10010100001100110…
…01001111000110000
3221200010020211222000
421100303021320300
5130332023143322
64322515014000
7501313353060
oct112063117060
927603224860
109945521712
114243a95735
121b1689a300
13c266248b9
146a4c213a0
153d31eb3ac
hex250cc9e30

9945521712 has 160 divisors (see below), whose sum is σ = 32949557760. Its totient is φ = 2813356800.

The previous prime is 9945521699. The next prime is 9945521731. The reversal of 9945521712 is 2171255499.

9945521712 is a `hidden beast` number, since 9 + 94 + 552 + 1 + 7 + 1 + 2 = 666.

It is a super-4 number, since 4×99455217124 (a number of 41 digits) contains 4444 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289143 + ... + 321705.

It is an arithmetic number, because the mean of its divisors is an integer number (205934736).

Almost surely, 29945521712 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 9945521712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16474778880).

9945521712 is an abundant number, since it is smaller than the sum of its proper divisors (23004036048).

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

9945521712 is a wasteful number, since it uses less digits than its factorization.

9945521712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32688 (or 32676 counting only the distinct ones).

The product of its digits is 226800, while the sum is 45.

The square root of 9945521712 is about 99727.2365605304. The cubic root of 9945521712 is about 2150.5152334315.

The spelling of 9945521712 in words is "nine billion, nine hundred forty-five million, five hundred twenty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 101 108 112 126 144 168 189 202 216 252 303 336 378 404 432 504 606 707 756 808 909 1008 1212 1414 1512 1616 1818 2121 2424 2727 2828 3024 3636 4242 4848 5454 5656 6363 7272 8484 10908 11312 12726 14544 16968 19089 21816 25452 32563 33936 38178 43632 50904 65126 76356 97689 101808 130252 152712 195378 227941 260504 293067 305424 390756 455882 521008 586134 683823 781512 879201 911764 1172268 1367646 1563024 1758402 1823528 2051469 2344536 2735292 3288863 3516804 3647056 4102938 4689072 5470584 6154407 6577726 7033608 8205876 9866589 10941168 12308814 13155452 14067216 16411752 19733178 23022041 24617628 26310904 29599767 32823504 39466356 46044082 49235256 52621808 59199534 69066123 78932712 88799301 92088164 98470512 118399068 138132246 157865424 177598602 184176328 207198369 236798136 276264492 355197204 368352656 414396738 473596272 552528984 621595107 710394408 828793476 1105057968 1243190214 1420788816 1657586952 2486380428 3315173904 4972760856 9945521712