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10930157888 = 2613172333599
BaseRepresentation
bin10100010110111110…
…01111100101000000
31001012202000112212112
422023133033211000
5134341110023023
65004331114452
7534600544346
oct121337174500
931182015775
1010930157888
1146a9875441
1221505a2a28
131052612960
147598cd996
1543e895478
hex28b7cf940

10930157888 has 112 divisors (see below), whose sum is σ = 25808025600. Its totient is φ = 4541374464.

The previous prime is 10930157881. The next prime is 10930157921. The reversal of 10930157888 is 88875103901.

10930157888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10930157881) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 308513 + ... + 342111.

It is an arithmetic number, because the mean of its divisors is an integer number (230428800).

Almost surely, 210930157888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10930157888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12904012800).

10930157888 is an abundant number, since it is smaller than the sum of its proper divisors (14877867712).

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

10930157888 is a wasteful number, since it uses less digits than its factorization.

10930157888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33664 (or 33654 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 50.

The spelling of 10930157888 in words is "ten billion, nine hundred thirty million, one hundred fifty-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 13 16 17 23 26 32 34 46 52 64 68 92 104 136 184 208 221 272 299 368 391 416 442 544 598 736 782 832 884 1088 1196 1472 1564 1768 2392 3128 3536 4784 5083 6256 7072 9568 10166 12512 14144 19136 20332 25024 33599 40664 67198 81328 134396 162656 268792 325312 436787 537584 571183 772777 873574 1075168 1142366 1545554 1747148 2150336 2284732 3091108 3494296 4569464 6182216 6988592 7425379 9138928 10046101 12364432 13137209 13977184 14850758 18277856 20092202 24728864 26274418 27954368 29701516 36555712 40184404 49457728 52548836 59403032 80368808 105097672 118806064 160737616 170783717 210195344 237612128 321475232 341567434 420390688 475224256 642950464 683134868 840781376 1366269736 2732539472 5465078944 10930157888