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6457116610572 = 22329311687935461
BaseRepresentation
bin101110111110110101000…
…1001000101000000001100
3211212021221120002100221020
41131331222021011000030
51321243133323014242
621422205230234140
71234340240410545
oct135755211050014
924767846070836
106457116610572
11206a4a1a98741
12883523355950
1337ab98c52014
141847519154cc
15b2e6edc66ec
hex5df6a24500c

6457116610572 has 96 divisors (see below), whose sum is σ = 16090329292800. Its totient is φ = 2010939436800.

The previous prime is 6457116610547. The next prime is 6457116610631. The reversal of 6457116610572 is 2750166117546.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182072922 + ... + 182108382.

It is an arithmetic number, because the mean of its divisors is an integer number (167607596800).

Almost surely, 26457116610572 is an apocalyptic number.

6457116610572 is a gapful number since it is divisible by the number (62) 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 6457116610572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045164646400).

6457116610572 is an abundant number, since it is smaller than the sum of its proper divisors (9633212682228).

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

6457116610572 is a wasteful number, since it uses less digits than its factorization.

6457116610572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52407 (or 52405 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 51.

The spelling of 6457116610572 in words is "six trillion, four hundred fifty-seven billion, one hundred sixteen million, six hundred ten thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 12 29 31 58 62 87 93 116 124 174 186 348 372 899 1798 2697 3596 5394 10788 16879 33758 35461 50637 67516 70922 101274 106383 141844 202548 212766 425532 489491 523249 978982 1028369 1046498 1099291 1468473 1569747 1957964 2056738 2092996 2198582 2936946 3085107 3139494 3297873 4113476 4397164 5873892 6170214 6278988 6595746 12340428 13191492 15174221 30348442 31879439 45522663 60696884 63758878 91045326 95638317 127517756 182090652 191276634 382553268 598546219 1197092438 1795638657 2394184876 3591277314 7182554628 17357840351 18554932789 34715680702 37109865578 52073521053 55664798367 69431361404 74219731156 104147042106 111329596734 208294084212 222659193468 538093050881 1076186101762 1614279152643 2152372203524 3228558305286 6457116610572