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10645888764 = 2237223997547
BaseRepresentation
bin10011110101000101…
…10101111011111100
31000110221010011221110
421322202311323330
5133300321420024
64520214202020
7524546363400
oct117242657374
930427104843
1010645888764
114573365885
122091353310
131008762084
1472dc53100
15424942629
hex27a8b5efc

10645888764 has 72 divisors (see below), whose sum is σ = 28911859200. Its totient is φ = 3040011744.

The previous prime is 10645888723. The next prime is 10645888769. The reversal of 10645888764 is 46788854601.

It is a super-2 number, since 2×106458887642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645888769) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1406839 + ... + 1414385.

It is an arithmetic number, because the mean of its divisors is an integer number (401553600).

Almost surely, 210645888764 is an apocalyptic number.

10645888764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10645888764 is an abundant number, since it is smaller than the sum of its proper divisors (18265970436).

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

10645888764 is a wasteful number, since it uses less digits than its factorization.

10645888764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9967 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 57.

The spelling of 10645888764 in words is "ten billion, six hundred forty-five million, eight hundred eighty-eight thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 2399 4798 7197 7547 9596 14394 15094 16793 22641 28788 30188 33586 45282 50379 52829 67172 90564 100758 105658 117551 158487 201516 211316 235102 316974 352653 369803 470204 633948 705306 739606 1109409 1410612 1479212 2218818 4437636 18105253 36210506 54315759 72421012 108631518 126736771 217263036 253473542 380210313 506947084 760420626 887157397 1520841252 1774314794 2661472191 3548629588 5322944382 10645888764