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10686132954 = 2337213130829
BaseRepresentation
bin10011111001111000…
…10111001011011010
31000120201211210121000
421330330113023122
5133341122223304
64524212525430
7525545426400
oct117474271332
930521753530
1010686132954
114594052942
1220a2920876
131013bb2ac3
1473532b470
15428241939
hex27cf172da

10686132954 has 96 divisors (see below), whose sum is σ = 27835790400. Its totient is φ = 3029775840.

The previous prime is 10686132929. The next prime is 10686132967. The reversal of 10686132954 is 45923168601.

10686132954 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 613 + 29 + 5 + 4 = 666.

It is a super-2 number, since 2×106861329542 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331212 + ... + 362040.

It is an arithmetic number, because the mean of its divisors is an integer number (289956150).

Almost surely, 210686132954 is an apocalyptic number.

10686132954 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10686132954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13917895200).

10686132954 is an abundant number, since it is smaller than the sum of its proper divisors (17149657446).

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

10686132954 is a wasteful number, since it uses less digits than its factorization.

10686132954 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30985 (or 30972 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 10686132954 in words is "ten billion, six hundred eighty-six million, one hundred thirty-two thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 131 147 189 262 294 378 393 441 786 882 917 1179 1323 1834 2358 2646 2751 3537 5502 6419 7074 8253 12838 16506 19257 24759 30829 38514 49518 57771 61658 92487 115542 173313 184974 215803 277461 346626 431606 554922 647409 832383 1294818 1510621 1664766 1942227 3021242 3884454 4038599 4531863 5826681 8077198 9063726 11653362 12115797 13595589 24231594 27191178 28270193 36347391 40786767 56540386 72694782 81573534 84810579 109042173 169621158 197891351 218084346 254431737 395782702 508863474 593674053 763295211 1187348106 1526590422 1781022159 3562044318 5343066477 10686132954