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10989662688 = 253431136769
BaseRepresentation
bin10100011110000100…
…01111000111100000
31001100212222201010000
422033002033013200
5140001323201223
65014254340000
7536222406624
oct121702170740
931325881100
1010989662688
11472a418264
1221684ba600
131061a483b4
1476377d184
15444beb543
hex28f08f1e0

10989662688 has 120 divisors (see below), whose sum is σ = 33363126720. Its totient is φ = 3545026560.

The previous prime is 10989662659. The next prime is 10989662689. The reversal of 10989662688 is 88626698901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10989662689) 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, 11968 + ... + 148736.

It is an arithmetic number, because the mean of its divisors is an integer number (278026056).

Almost surely, 210989662688 is an apocalyptic number.

10989662688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10989662688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16681563360).

10989662688 is an abundant number, since it is smaller than the sum of its proper divisors (22373464032).

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

10989662688 is a wasteful number, since it uses less digits than its factorization.

10989662688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136822 (or 136805 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 10989662688 in words is "ten billion, nine hundred eighty-nine million, six hundred sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 248 279 288 324 372 432 496 558 648 744 837 864 992 1116 1296 1488 1674 2232 2511 2592 2976 3348 4464 5022 6696 8928 10044 13392 20088 26784 40176 80352 136769 273538 410307 547076 820614 1094152 1230921 1641228 2188304 2461842 3282456 3692763 4239839 4376608 4923684 6564912 7385526 8479678 9847368 11078289 12719517 13129824 14771052 16959356 19694736 22156578 25439034 29542104 33918712 38158551 39389472 44313156 50878068 59084208 67837424 76317102 88626312 101756136 114475653 118168416 135674848 152634204 177252624 203512272 228951306 305268408 343426959 354505248 407024544 457902612 610536816 686853918 915805224 1221073632 1373707836 1831610448 2747415672 3663220896 5494831344 10989662688