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10604128361274 = 23574567682511
BaseRepresentation
bin1001101001001111011101…
…0011011101101100111010
31101112202002221022210100000
42122103313103131230322
52342214223330030044
634315245212253430
72143060120603110
oct232236723355472
941482087283300
1010604128361274
113419205013538
121233199171276
135bbc7119b046
142893577bbab0
15135c8743dd69
hex9a4f74ddb3a

10604128361274 has 96 divisors (see below), whose sum is σ = 27236356632576. Its totient is φ = 3029083121520.

The previous prime is 10604128361263. The next prime is 10604128361317. The reversal of 10604128361274 is 47216382140601.

10604128361274 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 4 + 1 + 28 + 3 + 612 + 7 + 4 = 666.

It is a super-2 number, since 2×106041283612742 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15195679 + ... + 15878189.

It is an arithmetic number, because the mean of its divisors is an integer number (283712048256).

Almost surely, 210604128361274 is an apocalyptic number.

10604128361274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10604128361274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13618178316288).

10604128361274 is an abundant number, since it is smaller than the sum of its proper divisors (16632228271302).

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

10604128361274 is an equidigital number, since it uses as much as digits as its factorization.

10604128361274 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687102 (or 687090 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 10604128361274 in words is "ten trillion, six hundred four billion, one hundred twenty-eight million, three hundred sixty-one thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 1134 1701 3402 4567 9134 13701 27402 31969 41103 63938 82206 95907 123309 191814 246618 287721 369927 575442 682511 739854 863163 1109781 1365022 1726326 2047533 2219562 2589489 4095066 4777577 5178978 6142599 7768467 9555154 12285198 14332731 15536934 18427797 28665462 36855594 42998193 55283391 85996386 110566782 128994579 165850173 257989158 331700346 386983737 773967474 1160951211 2321902422 3117027737 6234055474 9351083211 18702166422 21819194159 28053249633 43638388318 56106499266 65457582477 84159748899 130915164954 168319497798 196372747431 252479246697 392745494862 504958493394 589118242293 757437740091 1178236484586 1514875480182 1767354726879 3534709453758 5302064180637 10604128361274