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14875296920 = 23511234135851
BaseRepresentation
bin11011101101010001…
…10000010010011000
31102101200111101012222
431312220300102120
5220431034000140
610500021123212
71034423636411
oct156650602230
942350441188
1014875296920
116343798820
122a71859508
131530a66553
14a11842808
155c0dd05b5
hex376a30498

14875296920 has 128 divisors (see below), whose sum is σ = 39029921280. Its totient is φ = 5047680000.

The previous prime is 14875296911. The next prime is 14875296929. The reversal of 14875296920 is 2969257841.

It is an interprime number because it is at equal distance from previous prime (14875296911) and next prime (14875296929).

It is a super-2 number, since 2×148752969202 (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 (14875296929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 396995 + ... + 432845.

It is an arithmetic number, because the mean of its divisors is an integer number (304921260).

Almost surely, 214875296920 is an apocalyptic number.

14875296920 is a gapful number since it is divisible by the number (10) 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 14875296920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19514960640).

14875296920 is an abundant number, since it is smaller than the sum of its proper divisors (24154624360).

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

14875296920 is a wasteful number, since it uses less digits than its factorization.

14875296920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35937 (or 35933 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 53.

The spelling of 14875296920 in words is "fourteen billion, eight hundred seventy-five million, two hundred ninety-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 41 44 46 55 82 88 92 110 115 164 184 205 220 230 253 328 410 440 451 460 506 820 902 920 943 1012 1265 1640 1804 1886 2024 2255 2530 3608 3772 4510 4715 5060 7544 9020 9430 10120 10373 18040 18860 20746 35851 37720 41492 51865 71702 82984 103730 143404 179255 207460 286808 358510 394361 414920 717020 788722 824573 1434040 1469891 1577444 1649146 1971805 2939782 3154888 3298292 3943610 4122865 5879564 6596584 7349455 7887220 8245730 9070303 11759128 14698910 15774440 16168801 16491460 18140606 29397820 32337602 32982920 33807493 36281212 45351515 58795640 64675204 67614986 72562424 80844005 90703030 129350408 135229972 161688010 169037465 181406060 270459944 323376020 338074930 362812120 371882423 646752040 676149860 743764846 1352299720 1487529692 1859412115 2975059384 3718824230 7437648460 14875296920