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23134569120 = 25325131235821
BaseRepresentation
bin10101100010111011…
…011000001010100000
32012201021202212201100
4111202323120022200
5334334422202440
614343342034400
71446203410245
oct254273301240
965637685640
1023134569120
1198a1952213
124597878a00
132248c17570
14119671b5cc
15906042230
hex562ed82a0

23134569120 has 144 divisors (see below), whose sum is σ = 85019610312. Its totient is φ = 5694658560.

The previous prime is 23134569097. The next prime is 23134569149. The reversal of 23134569120 is 2196543132.

23134569120 is a `hidden beast` number, since 231 + 345 + 69 + 1 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20829416976 + 2305152144 = 144324^2 + 48012^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 599191 + ... + 636630.

Almost surely, 223134569120 is an apocalyptic number.

23134569120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23134569120 is an abundant number, since it is smaller than the sum of its proper divisors (61885041192).

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

23134569120 is a wasteful number, since it uses less digits than its factorization.

23134569120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1235855 (or 1235844 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

It can be divided in two parts, 2313456 and 9120, that added together give a square (2322576 = 15242).

The spelling of 23134569120 in words is "twenty-three billion, one hundred thirty-four million, five hundred sixty-nine thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 32 36 39 40 45 48 52 60 65 72 78 80 90 96 104 117 120 130 144 156 160 180 195 208 234 240 260 288 312 360 390 416 468 480 520 585 624 720 780 936 1040 1170 1248 1440 1560 1872 2080 2340 3120 3744 4680 6240 9360 18720 1235821 2471642 3707463 4943284 6179105 7414926 9886568 11122389 12358210 14829852 16065673 18537315 19773136 22244778 24716420 29659704 32131346 37074630 39546272 44489556 48197019 49432840 55611945 59319408 64262692 74149260 80328365 88979112 96394038 98865680 111223890 118638816 128525384 144591057 148298520 160656730 177958224 192788076 197731360 222447780 240985095 257050768 289182114 296597040 321313460 355916448 385576152 444895560 481970190 514101536 578364228 593194080 642626920 722955285 771152304 889791120 963940380 1156728456 1285253840 1445910570 1542304608 1779582240 1927880760 2313456912 2570507680 2891821140 3855761520 4626913824 5783642280 7711523040 11567284560 23134569120