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8913413265156 = 223447235292
BaseRepresentation
bin1000000110110101000011…
…0101001101011100000100
31011120010002002120221210000
42001231100311031130010
52132014132243441111
630542433204201300
71606654455445131
oct201552065153404
934503062527700
108913413265156
112927180463734
12bbb590099230
134c86ba25934a
1422b5a9249588
15106cd1d27c56
hex81b50d4d704

8913413265156 has 135 divisors (see below), whose sum is σ = 23814494535909. Its totient is φ = 2907098050752.

The previous prime is 8913413265151. The next prime is 8913413265191. The reversal of 8913413265156 is 6515623143198.

The square root of 8913413265156 is 2985534.

It is a perfect power (a square), and thus also a powerful number.

8913413265156 is a `hidden beast` number, since 8 + 9 + 13 + 413 + 2 + 65 + 156 = 666.

It can be written as a sum of positive squares in only one way, i.e., 833265911556 + 8080147353600 = 912834^2 + 2842560^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (8913413265151) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2525760000 + ... + 2525763528.

Almost surely, 28913413265156 is an apocalyptic number.

8913413265156 is the 2985534-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8913413265156

8913413265156 is an abundant number, since it is smaller than the sum of its proper divisors (14901081270753).

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

8913413265156 is an frugal number, since it uses more digits than its factorization.

8913413265156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7168 (or 3581 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 8913413265156 in words is "eight trillion, nine hundred thirteen billion, four hundred thirteen million, two hundred sixty-five thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2209 2538 3529 3807 4418 5076 6627 7058 7614 8836 10587 13254 14116 15228 19881 21174 26508 31761 39762 42348 59643 63522 79524 95283 119286 127044 165863 178929 190566 238572 285849 331726 357858 381132 497589 571698 663452 715716 995178 1143396 1492767 1990356 2985534 4478301 5971068 7795561 8956602 12453841 13434903 15591122 17913204 23386683 24907682 26869806 31182244 37361523 46773366 49815364 53739612 70160049 74723046 93546732 112084569 140320098 149446092 210480147 224169138 280640196 336253707 420960294 448338276 585330527 631440441 672507414 841920588 1008761121 1170661054 1262880882 1345014828 1755991581 2017522242 2341322108 2525761764 3511983162 4035044484 5267974743 7023966324 10535949486 15803924229 21071898972 27510534769 31607848458 47411772687 55021069538 63215696916 82531604307 94823545374 110042139076 165063208614 189647090748 247594812921 330126417228 495189625842 742784438763 990379251684 1485568877526 2228353316289 2971137755052 4456706632578 8913413265156