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23523113376 = 2532771164341
BaseRepresentation
bin10101111010000101…
…100011100110100000
32020201100212222020100
4111322011203212200
5341133404112001
614450101542400
71461632110320
oct257205434640
966640788210
1023523113376
119a81203274
124685a14a00
1322ab5777c9
1411d217d280
1592a1e1586
hex57a1639a0

23523113376 has 144 divisors (see below), whose sum is σ = 77527352448. Its totient is φ = 6626188800.

The previous prime is 23523113353. The next prime is 23523113423. The reversal of 23523113376 is 67331132532.

23523113376 is a `hidden beast` number, since 2 + 3 + 5 + 2 + 311 + 337 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 23523113376.

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, 60966 + ... + 225306.

It is an arithmetic number, because the mean of its divisors is an integer number (538384392).

Almost surely, 223523113376 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 23523113376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38763676224).

23523113376 is an abundant number, since it is smaller than the sum of its proper divisors (54004239072).

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

23523113376 is a wasteful number, since it uses less digits than its factorization.

23523113376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164435 (or 164424 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

The spelling of 23523113376 in words is "twenty-three billion, five hundred twenty-three million, one hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 71 72 84 96 112 126 142 144 168 213 224 252 284 288 336 426 497 504 568 639 672 852 994 1008 1136 1278 1491 1704 1988 2016 2272 2556 2982 3408 3976 4473 5112 5964 6816 7952 8946 10224 11928 15904 17892 20448 23856 35784 47712 71568 143136 164341 328682 493023 657364 986046 1150387 1314728 1479069 1972092 2300774 2629456 2958138 3451161 3944184 4601548 5258912 5916276 6902322 7888368 9203096 10353483 11668211 11832552 13804644 15776736 18406192 20706966 23336422 23665104 27609288 35004633 36812384 41413932 46672844 47330208 55218576 70009266 81677477 82827864 93345688 105013899 110437152 140018532 163354954 165655728 186691376 210027798 245032431 280037064 326709908 331311456 373382752 420055596 490064862 560074128 653419816 735097293 840111192 980129724 1120148256 1306839632 1470194586 1680222384 1960259448 2613679264 2940389172 3360444768 3920518896 5880778344 7841037792 11761556688 23523113376