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272453012968320 = 2733515766956769
BaseRepresentation
bin111101111100101101101001…
…000011100101001110000000
31022201200020211220220212111000
4331330231221003211032000
5241202332232304441240
62403243104122052000
7111250036435216602
oct7574555103451600
91281606756825430
10272453012968320
11798a2745a92368
122668327694a000
13b904293bb0192
144b3cb20a4d172
1521771dc5a7430
hexf7cb690e5380

272453012968320 has 128 divisors (see below), whose sum is σ = 964937754324000. Its totient is φ = 72654136786944.

The previous prime is 272453012968277. The next prime is 272453012968361. The reversal of 272453012968320 is 23869210354272.

272453012968320 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 5 + 301 + 2 + 9 + 6 + 8 + 320 = 666.

272453012968320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7883461105 + ... + 7883495664.

It is a 1-persistent number, because it is pandigital, but 2⋅272453012968320 = 544906025936640 is not.

Almost surely, 2272453012968320 is an apocalyptic number.

272453012968320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272453012968320 is an abundant number, since it is smaller than the sum of its proper divisors (692484741355680).

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

272453012968320 is a wasteful number, since it uses less digits than its factorization.

272453012968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15766956797 (or 15766956779 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 272453012968320 in words is "two hundred seventy-two trillion, four hundred fifty-three billion, twelve million, nine hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 15766956769 31533913538 47300870307 63067827076 78834783845 94601740614 126135654152 141902610921 157669567690 189203481228 236504351535 252271308304 283805221842 315339135380 378406962456 425707832763 473008703070 504542616608 567610443684 630678270760 709513054605 756813924912 851415665526 946017406140 1009085233216 1135220887368 1261356541520 1419026109210 1513627849824 1702831331052 1892034812280 2018170466432 2128539163815 2270441774736 2522713083040 2838052218420 3027255699648 3405662662104 3784069624560 4257078327630 4540883549472 5045426166080 5676104436840 6054511399296 6811325324208 7568139249120 8514156655260 9081767098944 10090852332160 11352208873680 13622650648416 15136278498240 17028313310520 18163534197888 22704417747360 27245301296832 30272556996480 34056626621040 45408835494720 54490602593664 68113253242080 90817670989440 136226506484160 272453012968320