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427740354577116 = 223471847102110471
BaseRepresentation
bin110000101000001110000111…
…1111001000000001011011100
32002002111120121202102220210000
41201100130033321000023130
5422031044221232431431
64113421112310414300
7156045135510211350
oct14120341771001334
92062446552386700
10427740354577116
11114322735a99749
123bb82b43361390
1315489985c75c29
14778aa5a70d460
15346b7954429e6
hex185070fe402dc

427740354577116 has 120 divisors (see below), whose sum is σ = 1278632231686656. Its totient is φ = 122145361097760.

The previous prime is 427740354577093. The next prime is 427740354577171. The reversal of 427740354577116 is 611775453047724.

427740354577116 is a `hidden beast` number, since 4 + 2 + 7 + 7 + 4 + 0 + 3 + 54 + 577 + 1 + 1 + 6 = 666.

It is a super-2 number, since 2×4277403545771162 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46866240 + ... + 55244231.

Almost surely, 2427740354577116 is an apocalyptic number.

It is an amenable number.

427740354577116 is an abundant number, since it is smaller than the sum of its proper divisors (850891877109540).

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

427740354577116 is a wasteful number, since it uses less digits than its factorization.

427740354577116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102112341 (or 102112330 counting only the distinct ones).

The product of its (nonzero) digits is 138297600, while the sum is 63.

The spelling of 427740354577116 in words is "four hundred twenty-seven trillion, seven hundred forty billion, three hundred fifty-four million, five hundred seventy-seven thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1847 2268 3694 5541 7388 11082 12929 16623 22164 25858 33246 38787 49869 51716 66492 77574 99738 116361 149607 155148 199476 232722 299214 349083 465444 598428 698166 1047249 1396332 2094498 4188996 102110471 204220942 306331413 408441884 612662826 714773297 918994239 1225325652 1429546594 1837988478 2144319891 2756982717 2859093188 3675976956 4288639782 5513965434 6432959673 8270948151 8577279564 11027930868 12865919346 16541896302 19298879019 25731838692 33083792604 38597758038 57896637057 77195516076 115793274114 188598039937 231586548228 377196079874 565794119811 754392159748 1131588239622 1320186279559 1697382359433 2263176479244 2640372559118 3394764718866 3960558838677 5092147078299 5280745118236 6789529437732 7921117677354 10184294156598 11881676516031 15276441234897 15842235354708 20368588313196 23763353032062 30552882469794 35645029548093 47526706064124 61105764939588 71290059096186 106935088644279 142580118192372 213870177288558 427740354577116