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14741937952 = 257232998669
BaseRepresentation
bin11011011101011000…
…00001111100100000
31102001101120001002221
431232230001330200
5220142414003302
610434454520424
71031214255640
oct155654017440
942041501087
1014741937952
1162854921a5
122a35066114
13150c242c11
149dbc4a520
155b433b937
hex36eb01f20

14741937952 has 96 divisors (see below), whose sum is σ = 35805369600. Its totient is φ = 5834830848.

The previous prime is 14741937943. The next prime is 14741937961. The reversal of 14741937952 is 25973914741.

It is an interprime number because it is at equal distance from previous prime (14741937943) and next prime (14741937961).

It is a self number, because there is not a number n which added to its sum of digits gives 14741937952.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100074 + ... + 198742.

It is an arithmetic number, because the mean of its divisors is an integer number (372972600).

Almost surely, 214741937952 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 14741937952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17902684800).

14741937952 is an abundant number, since it is smaller than the sum of its proper divisors (21063431648).

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

14741937952 is a wasteful number, since it uses less digits than its factorization.

14741937952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98738 (or 98730 counting only the distinct ones).

The product of its digits is 1905120, while the sum is 52.

The spelling of 14741937952 in words is "fourteen billion, seven hundred forty-one million, nine hundred thirty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 29 32 46 56 58 92 112 116 161 184 203 224 232 322 368 406 464 644 667 736 812 928 1288 1334 1624 2576 2668 3248 4669 5152 5336 6496 9338 10672 18676 21344 37352 74704 98669 149408 197338 394676 690683 789352 1381366 1578704 2269387 2762732 2861401 3157408 4538774 5525464 5722802 9077548 11050928 11445604 15885709 18155096 20029807 22101856 22891208 31771418 36310192 40059614 45782416 63542836 65812223 72620384 80119228 91564832 127085672 131624446 160238456 254171344 263248892 320476912 460685561 508342688 526497784 640953824 921371122 1052995568 1842742244 2105991136 3685484488 7370968976 14741937952