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2157476318368 = 257373245910501
BaseRepresentation
bin11111011001010011100…
…111000000110010100000
321122020211020022200120221
4133121103213000302200
5240322002414141433
64331044141012424
7311605163060620
oct37312347006240
97566736280527
102157476318368
11761a87155648
122aa172554114
131285ab9cc747
14765cb14a880
153b1c311272d
hex1f6539c0ca0

2157476318368 has 96 divisors (see below), whose sum is σ = 4869779080320. Its totient is φ = 921691008000.

The previous prime is 2157476318311. The next prime is 2157476318381. The reversal of 2157476318368 is 8638136747512.

It is a super-3 number, since 3×21574763183683 (a number of 38 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 205449118 + ... + 205459618.

It is an arithmetic number, because the mean of its divisors is an integer number (50726865420).

Almost surely, 22157476318368 is an apocalyptic number.

2157476318368 is a gapful number since it is divisible by the number (28) 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 2157476318368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434889540160).

2157476318368 is an abundant number, since it is smaller than the sum of its proper divisors (2712302761952).

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

2157476318368 is a wasteful number, since it uses less digits than its factorization.

2157476318368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13350 (or 13342 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 61.

The spelling of 2157476318368 in words is "two trillion, one hundred fifty-seven billion, four hundred seventy-six million, three hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 373 746 1492 2459 2611 2984 4918 5222 5968 9836 10444 10501 11936 17213 19672 20888 21002 34426 39344 41776 42004 68852 73507 78688 83552 84008 137704 147014 168016 275408 294028 336032 550816 588056 917207 1176112 1834414 2352224 3668828 3916873 6420449 7337656 7833746 12840898 14675312 15667492 25681796 25821959 27418111 29350624 31334984 51363592 51643918 54836222 62669968 102727184 103287836 109672444 125339936 180753713 205454368 206575672 219344888 361507426 413151344 438689776 723014852 826302688 877379552 1446029704 2892059408 5784118816 9631590707 19263181414 38526362828 67421134949 77052725656 134842269898 154105451312 269684539796 308210902624 539369079592 1078738159184 2157476318368