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10684925937 = 3272191275203
BaseRepresentation
bin10011111001101111…
…10000011111110001
31000120122120110212200
421330313300133301
5133340320112222
64524131013413
7525532241400
oct117467603761
930518513780
1010684925937
1145933a9004
1220a243a269
13101387c5aa
147350d5637
154280a3eac
hex27cdf07f1

10684925937 has 36 divisors (see below), whose sum is σ = 18898523280. Its totient is φ = 5784316272.

The previous prime is 10684925879. The next prime is 10684925963. The reversal of 10684925937 is 73952948601.

10684925937 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 49 + 2 + 593 + 7 = 666.

It is not a de Polignac number, because 10684925937 - 215 = 10684893169 is a prime.

It is a super-2 number, since 2×106849259372 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10684925437) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 629223 + ... + 645980.

It is an arithmetic number, because the mean of its divisors is an integer number (524958980).

It is a 1-persistent number, because it is pandigital, but 2⋅10684925937 = 21369851874 is not.

Almost surely, 210684925937 is an apocalyptic number.

It is an amenable number.

10684925937 is a deficient number, since it is larger than the sum of its proper divisors (8213597343).

10684925937 is a wasteful number, since it uses less digits than its factorization.

10684925937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1275242 (or 1275232 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 10684925937 in words is "ten billion, six hundred eighty-four million, nine hundred twenty-five thousand, nine hundred thirty-seven".

Divisors: 1 3 7 9 19 21 49 57 63 133 147 171 399 441 931 1197 2793 8379 1275203 3825609 8926421 11476827 24228857 26779263 62484947 72686571 80337789 169601999 187454841 218059713 508805997 562364523 1187213993 1526417991 3561641979 10684925937