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23057754384 = 2437271138077
BaseRepresentation
bin10101011110010110…
…010110100100010000
32012111221020021201010
4111132112112210100
5334210241120014
614331555410520
71444251451500
oct253626264420
965457207633
1023057754384
119862557165
124575bb3a40
132236030c62
14118a443a00
158ee41c359
hex55e596910

23057754384 has 120 divisors (see below), whose sum is σ = 70267341888. Its totient is φ = 6495095040.

The previous prime is 23057754359. The next prime is 23057754439. The reversal of 23057754384 is 48345775032.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97954 + ... + 236030.

Almost surely, 223057754384 is an apocalyptic number.

23057754384 is a gapful number since it is divisible by the number (24) 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 23057754384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35133670944).

23057754384 is an abundant number, since it is smaller than the sum of its proper divisors (47209587504).

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

23057754384 is a wasteful number, since it uses less digits than its factorization.

23057754384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138173 (or 138160 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 48.

The spelling of 23057754384 in words is "twenty-three billion, fifty-seven million, seven hundred fifty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 71 84 98 112 142 147 168 196 213 284 294 336 392 426 497 568 588 784 852 994 1136 1176 1491 1704 1988 2352 2982 3408 3479 3976 5964 6958 7952 10437 11928 13916 20874 23856 27832 41748 55664 83496 138077 166992 276154 414231 552308 828462 966539 1104616 1656924 1933078 2209232 2899617 3313848 3866156 5799234 6627696 6765773 7732312 9803467 11598468 13531546 15464624 19606934 20297319 23196936 27063092 29410401 39213868 40594638 46393872 54126184 58820802 68624269 78427736 81189276 108252368 117641604 137248538 156855472 162378552 205872807 235283208 274497076 324757104 411745614 470566416 480369883 548994152 823491228 960739766 1097988304 1441109649 1646982456 1921479532 2882219298 3293964912 3842959064 5764438596 7685918128 11528877192 23057754384