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10745890272 = 253413318907
BaseRepresentation
bin10100000001000000…
…10100010111100000
31000201220021210020000
422000200110113200
5134001421442042
64534145420000
7530202363105
oct120040242740
930656253200
1010745890272
114614858457
1220ba93a600
1310233a6470
1473d244aac
1542d5e774c
hex2808145e0

10745890272 has 120 divisors (see below), whose sum is σ = 34034499576. Its totient is φ = 3306417408.

The previous prime is 10745890271. The next prime is 10745890273. The reversal of 10745890272 is 27209854701.

It is a happy number.

10745890272 is a `hidden beast` number, since 107 + 458 + 90 + 2 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10745890271) and next prime (10745890273).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10745890271) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 125758 + ... + 193149.

Almost surely, 210745890272 is an apocalyptic number.

10745890272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10745890272 is an abundant number, since it is smaller than the sum of its proper divisors (23288609304).

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

10745890272 is a wasteful number, since it uses less digits than its factorization.

10745890272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318942 (or 318925 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 10745890272 in words is "ten billion, seven hundred forty-five million, eight hundred ninety thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 318907 637814 956721 1275628 1913442 2551256 2870163 3826884 4145791 5102512 5740326 7653768 8291582 8610489 10205024 11480652 12437373 15307536 16583164 17220978 22961304 24874746 25831467 30615072 33166328 34441956 37312119 45922608 49749492 51662934 66332656 68883912 74624238 91845216 99498984 103325868 111936357 132665312 137767824 149248476 198997968 206651736 223872714 275535648 298496952 335809071 397995936 413303472 447745428 596993904 671618142 826606944 895490856 1193987808 1343236284 1790981712 2686472568 3581963424 5372945136 10745890272