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10040892330656 = 2511154931841171
BaseRepresentation
bin1001001000011101001111…
…0100100001001010100000
31022112220022001100212212102
42102013103310201022200
52304002221414040111
633204420001345532
72054300446412225
oct222072364411240
938486261325772
1010040892330656
113221355a56310
121161baa6382a8
1357ab1004a695
14269da601b94c
151262bee3e13b
hex921d3d212a0

10040892330656 has 48 divisors (see below), whose sum is σ = 21566501939808. Its totient is φ = 4563744902400.

The previous prime is 10040892330647. The next prime is 10040892330671. The reversal of 10040892330656 is 65603329804001.

It is a self number, because there is not a number n which added to its sum of digits gives 10040892330656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4532951 + ... + 6374121.

It is an arithmetic number, because the mean of its divisors is an integer number (449302123746).

Almost surely, 210040892330656 is an apocalyptic number.

10040892330656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10040892330656 is an abundant number, since it is smaller than the sum of its proper divisors (11525609609152).

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

10040892330656 is a wasteful number, since it uses less digits than its factorization.

10040892330656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856685 (or 1856677 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 10040892330656 in words is "ten trillion, forty billion, eight hundred ninety-two million, three hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 15493 30986 61972 123944 170423 247888 340846 495776 681692 1363384 1841171 2726768 3682342 5453536 7364684 14729368 20252881 29458736 40505762 58917472 81011524 162023048 324046096 648092192 28525262303 57050524606 114101049212 228202098424 313777885333 456404196848 627555770666 912808393696 1255111541332 2510223082664 5020446165328 10040892330656