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72291121140924 = 223272250316372897
BaseRepresentation
bin10000011011111110010110…
…100110001001010010111100
3100110221222000112020212121100
4100123332112212021102330
533433404204003002144
6413430025500533100
721140601242015100
oct2033762646112274
9313858015225540
1072291121140924
1121041546292a44
128136606251190
13314503c7529ba
1413bcca2177900
158556d0934269
hex41bf969894bc

72291121140924 has 108 divisors (see below), whose sum is σ = 212655259702704. Its totient is φ = 20646352839168.

The previous prime is 72291121140913. The next prime is 72291121140947. The reversal of 72291121140924 is 42904112119227.

It is a happy number.

72291121140924 is a `hidden beast` number, since 7 + 2 + 2 + 9 + 1 + 1 + 211 + 409 + 24 = 666.

72291121140924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×722911211409243 (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 72291121140924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3771157 + ... + 12601740.

Almost surely, 272291121140924 is an apocalyptic number.

It is an amenable number.

72291121140924 is an abundant number, since it is smaller than the sum of its proper divisors (140364138561780).

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

72291121140924 is a wasteful number, since it uses less digits than its factorization.

72291121140924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16375424 (or 16375412 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 72291121140924 in words is "seventy-two trillion, two hundred ninety-one billion, one hundred twenty-one million, one hundred forty thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2503 5006 7509 10012 15018 17521 22527 30036 35042 45054 52563 70084 90108 105126 122647 157689 210252 245294 315378 367941 490588 630756 735882 1103823 1471764 2207646 4415292 16372897 32745794 49118691 65491588 98237382 114610279 147356073 196474764 229220558 294712146 343830837 458441116 589424292 687661674 802271953 1031492511 1375323348 1604543906 2062985022 2406815859 3209087812 4125970044 4813631718 7220447577 9627263436 14440895154 28881790308 40981361191 81962722382 122944083573 163925444764 245888167146 286869528337 368832250719 491776334292 573739056674 737664501438 860608585011 1147478113348 1475329002876 1721217170022 2008086698359 2581825755033 3442434340044 4016173396718 5163651510066 6024260095077 8032346793436 10327303020132 12048520190154 18072780285231 24097040380308 36145560570462 72291121140924