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23270380136928 = 25321915128163099
BaseRepresentation
bin1010100101010000011101…
…01111011110100111100000
310001101121220210122212022100
411102220032233132213200
511022230214303340203
6121254133130210400
74621141466355411
oct522501657364740
9101347823585270
1023270380136928
117461a04a25531
122739b57283a00
13cca506255a32
145a6414521808
152a54b16ecea3
hex152a0ebde9e0

23270380136928 has 144 divisors (see below), whose sum is σ = 70119359856000. Its totient is φ = 7299875001600.

The previous prime is 23270380136869. The next prime is 23270380137007. The reversal of 23270380136928 is 82963108307232.

23270380136928 is a `hidden beast` number, since 2 + 3 + 270 + 3 + 8 + 0 + 1 + 369 + 2 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13255278 + ... + 14907821.

It is an arithmetic number, because the mean of its divisors is an integer number (486939999000).

Almost surely, 223270380136928 is an apocalyptic number.

It is an amenable number.

23270380136928 is an abundant number, since it is smaller than the sum of its proper divisors (46848979719072).

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

23270380136928 is a wasteful number, since it uses less digits than its factorization.

23270380136928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28163285 (or 28163274 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 23270380136928 in words is "twenty-three trillion, two hundred seventy billion, three hundred eighty million, one hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 72 76 96 114 144 151 152 171 228 288 302 304 342 453 456 604 608 684 906 912 1208 1359 1368 1812 1824 2416 2718 2736 2869 3624 4832 5436 5472 5738 7248 8607 10872 11476 14496 17214 21744 22952 25821 34428 43488 45904 51642 68856 91808 103284 137712 206568 275424 413136 826272 28163099 56326198 84489297 112652396 168978594 225304792 253467891 337957188 450609584 506935782 535098881 675914376 901219168 1013871564 1070197762 1351828752 1605296643 2027743128 2140395524 2703657504 3210593286 4055486256 4252627949 4280791048 4815889929 6421186572 8110972512 8505255898 8561582096 9631779858 12757883847 12842373144 17010511796 17123164192 19263559716 25515767694 25684746288 34021023592 38273651541 38527119432 51031535388 51369492576 68042047184 76547303082 77054238864 80799931031 102063070776 136084094368 153094606164 154108477728 161599862062 204126141552 242399793093 306189212328 323199724124 408252283104 484799586186 612378424656 646399448248 727199379279 969599172372 1224756849312 1292798896496 1454398758558 1939198344744 2585597792992 2908797517116 3878396689488 5817595034232 7756793378976 11635190068464 23270380136928