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5146524379512 = 2333231657625187
BaseRepresentation
bin100101011100100010011…
…0000011110100101111000
3200020000002010120211022000
41022321010300132211320
51133310040220121022
614540140342301000
71040552446303065
oct112710460364570
920200063524260
105146524379512
1117046a092a58a
126b1520727760
132b4413561a49
1413b1436c3c6c
158dd1610c6ac
hex4ae44c1e978

5146524379512 has 128 divisors (see below), whose sum is σ = 14926488537600. Its totient is φ = 1639927897344.

The previous prime is 5146524379483. The next prime is 5146524379517. The reversal of 5146524379512 is 2159734256415.

5146524379512 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 52 + 4 + 3 + 79 + 512 = 666.

It is a super-2 number, since 2×51465243795122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5146524379517) 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, 7919383 + ... + 8544569.

It is an arithmetic number, because the mean of its divisors is an integer number (116613191700).

Almost surely, 25146524379512 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 5146524379512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7463244268800).

5146524379512 is an abundant number, since it is smaller than the sum of its proper divisors (9779964158088).

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

5146524379512 is a wasteful number, since it uses less digits than its factorization.

5146524379512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626882 (or 626872 counting only the distinct ones).

The product of its digits is 9072000, while the sum is 54.

The spelling of 5146524379512 in words is "five trillion, one hundred forty-six billion, five hundred twenty-four million, three hundred seventy-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 552 621 828 1242 1656 1657 2484 3314 4968 4971 6628 9942 13256 14913 19884 29826 38111 39768 44739 59652 76222 89478 114333 119304 152444 178956 228666 304888 342999 357912 457332 625187 685998 914664 1028997 1250374 1371996 1875561 2057994 2500748 2743992 3751122 4115988 5001496 5626683 7502244 8231976 11253366 14379301 15004488 16880049 22506732 28758602 33760098 43137903 45013464 57517204 67520196 86275806 115034408 129413709 135040392 172551612 258827418 345103224 388241127 517654836 776482254 1035309672 1035934859 1552964508 2071869718 3105929016 3107804577 4143739436 6215609154 8287478872 9323413731 12431218308 18646827462 23826501757 24862436616 27970241193 37293654924 47653003514 55940482386 71479505271 74587309848 95306007028 111880964772 142959010542 190612014056 214438515813 223761929544 285918021084 428877031626 571836042168 643315547439 857754063252 1286631094878 1715508126504 2573262189756 5146524379512