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14957479908 = 2232728995273
BaseRepresentation
bin11011110111000100…
…10000011111100100
31102121102010201002100
431323202100133210
5221113103324113
610512114412100
71036442324100
oct157342203744
942542121070
1014957479908
116386120048
122a95291030
131544aac437
14a1c716900
155c8215d73
hex37b8907e4

14957479908 has 108 divisors (see below), whose sum is σ = 44476761420. Its totient is φ = 4225503744.

The previous prime is 14957479907. The next prime is 14957479951. The reversal of 14957479908 is 80997475941.

14957479908 is a `hidden beast` number, since 1 + 495 + 74 + 79 + 9 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9299130624 + 5658349284 = 96432^2 + 75222^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14957479907) 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, 109360 + ... + 204632.

It is an arithmetic number, because the mean of its divisors is an integer number (411821865).

Almost surely, 214957479908 is an apocalyptic number.

14957479908 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 14957479908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22238380710).

14957479908 is an abundant number, since it is smaller than the sum of its proper divisors (29519281512).

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

14957479908 is a wasteful number, since it uses less digits than its factorization.

14957479908 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95386 (or 95374 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 14957479908 in words is "fourteen billion, nine hundred fifty-seven million, four hundred seventy-nine thousand, nine hundred eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 89 98 126 147 178 196 252 267 294 356 441 534 588 623 801 882 1068 1246 1602 1764 1869 2492 3204 3738 4361 5607 7476 8722 11214 13083 17444 22428 26166 39249 52332 78498 95273 156996 190546 285819 381092 571638 666911 857457 1143276 1333822 1714914 2000733 2667644 3429828 4001466 4668377 6002199 8002932 8479297 9336754 12004398 14005131 16958594 18673508 24008796 25437891 28010262 33917188 42015393 50875782 56020524 59355079 76313673 84030786 101751564 118710158 152627346 168061572 178065237 237420316 305254692 356130474 415485553 534195711 712260948 830971106 1068391422 1246456659 1661942212 2136782844 2492913318 3739369977 4985826636 7478739954 14957479908