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27743639731968 = 283376714572219
BaseRepresentation
bin1100100111011100100011…
…10010100111111100000000
310122020021011221202221220010
412103232101302213330000
512114022433232410333
6135001130243544520
75562261153511656
oct623562162477400
9118207157687803
1027743639731968
118927014398566
123140aa098b140
1312632a22104b4
146bcb294d8dd6
15331a20933563
hex193b91ca7f00

27743639731968 has 144 divisors (see below), whose sum is σ = 76966036085120. Its totient is φ = 8863639031808.

The previous prime is 27743639731963. The next prime is 27743639731981. The reversal of 27743639731968 is 86913793634772.

It is a self number, because there is not a number n which added to its sum of digits gives 27743639731968.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27743639731963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5382238 + ... + 9189981.

Almost surely, 227743639731968 is an apocalyptic number.

It is an amenable number.

27743639731968 is an abundant number, since it is smaller than the sum of its proper divisors (49222396353152).

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

27743639731968 is a wasteful number, since it uses less digits than its factorization.

27743639731968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14572342 (or 14572328 counting only the distinct ones).

The product of its digits is 1728324864, while the sum is 75.

The spelling of 27743639731968 in words is "twenty-seven trillion, seven hundred forty-three billion, six hundred thirty-nine million, seven hundred thirty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 67 74 96 111 128 134 148 192 201 222 256 268 296 384 402 444 536 592 768 804 888 1072 1184 1608 1776 2144 2368 2479 3216 3552 4288 4736 4958 6432 7104 7437 8576 9472 9916 12864 14208 14874 17152 19832 25728 28416 29748 39664 51456 59496 79328 118992 158656 237984 317312 475968 634624 951936 1903872 14572219 29144438 43716657 58288876 87433314 116577752 174866628 233155504 349733256 466311008 539172103 699466512 932622016 976338673 1078344206 1398933024 1617516309 1865244032 1952677346 2156688412 2797866048 2929016019 3235032618 3730488064 3905354692 4313376824 5595732096 5858032038 6470065236 7810709384 8626753648 11191464192 11716064076 12940130472 15621418768 17253507296 23432128152 25880260944 31242837536 34507014592 36124530901 46864256304 51760521888 62485675072 69014029184 72249061802 93728512608 103521043776 108373592703 124971350144 138028058368 144498123604 187457025216 207042087552 216747185406 249942700288 288996247208 374914050432 414084175104 433494370812 577992494416 749828100864 866988741624 1155984988832 1733977483248 2311969977664 3467954966496 4623939955328 6935909932992 9247879910656 13871819865984 27743639731968