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2993727157008 = 243723734401167
BaseRepresentation
bin101011100100001000000…
…010110011001100010000
3101121012022222210211112220
4223210020002303030100
5343022123123011013
610211144350421040
7426201230654100
oct53441002631420
911535288724486
102993727157008
11a546a5a2aa15
12404255201780
131893cc0842a3
14a4c7bb83200
1552d18bb3b23
hex2b9080b3310

2993727157008 has 120 divisors (see below), whose sum is σ = 9239603306112. Its totient is φ = 832233007872.

The previous prime is 2993727156967. The next prime is 2993727157033. The reversal of 2993727157008 is 8007517273992.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17113560 + ... + 17287607.

Almost surely, 22993727157008 is an apocalyptic number.

2993727157008 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2993727157008 is an abundant number, since it is smaller than the sum of its proper divisors (6245876149104).

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

2993727157008 is a wasteful number, since it uses less digits than its factorization.

2993727157008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34401229 (or 34401216 counting only the distinct ones).

The product of its (nonzero) digits is 13335840, while the sum is 60.

The spelling of 2993727157008 in words is "two trillion, nine hundred ninety-three billion, seven hundred twenty-seven million, one hundred fifty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 392 444 518 588 592 777 784 888 1036 1176 1554 1776 1813 2072 2352 3108 3626 4144 5439 6216 7252 10878 12432 14504 21756 29008 43512 87024 34401167 68802334 103203501 137604668 206407002 240808169 275209336 412814004 481616338 550418672 722424507 825628008 963232676 1272843179 1444849014 1651256016 1685657183 1926465352 2545686358 2889698028 3371314366 3818529537 3852930704 5056971549 5091372716 5779396056 6742628732 7637059074 8909902253 10113943098 10182745432 11558792112 13485257464 15274118148 17819804506 20227886196 20365490864 26729706759 26970514928 30548236296 35639609012 40455772392 53459413518 61096472592 62369315771 71279218024 80911544784 106918827036 124738631542 142558436048 187107947313 213837654072 249477263084 374215894626 427675308144 498954526168 748431789252 997909052336 1496863578504 2993727157008