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72331534002 = 237137910116603
BaseRepresentation
bin100001101011101001…
…0111001111010110010
320220200220112122020210
41003113102321322302
52141113333042002
653121215444550
75140304615610
oct1032722717262
9226626478223
1072331534002
11287482a1082
1212027826756
136a894b0a80
1437025326b0
151d3516096c
hex10d74b9eb2

72331534002 has 128 divisors (see below), whose sum is σ = 182096732160. Its totient is φ = 18647366400.

The previous prime is 72331533991. The next prime is 72331534031. The reversal of 72331534002 is 20043513327.

It is a super-2 number, since 2×723315340022 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4348233 + ... + 4364835.

It is an arithmetic number, because the mean of its divisors is an integer number (1422630720).

Almost surely, 272331534002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72331534002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91048366080).

72331534002 is an abundant number, since it is smaller than the sum of its proper divisors (109765198158).

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

72331534002 is a wasteful number, since it uses less digits than its factorization.

72331534002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16808.

The product of its (nonzero) digits is 15120, while the sum is 30.

The spelling of 72331534002 in words is "seventy-two billion, three hundred thirty-one million, five hundred thirty-four thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 79 91 101 158 182 202 237 273 303 474 546 553 606 707 1027 1106 1313 1414 1659 2054 2121 2626 3081 3318 3939 4242 6162 7189 7878 7979 9191 14378 15958 16603 18382 21567 23937 27573 33206 43134 47874 49809 55146 55853 99618 103727 111706 116221 167559 207454 215839 232442 311181 335118 348663 431678 622362 647517 697326 726089 1295034 1311637 1452178 1510873 1676903 2178267 2623274 3021746 3353806 3934911 4356534 4532619 5030709 7869822 9065238 9181459 10061418 11738321 17051281 18362918 21799739 23476642 27544377 34102562 35214963 43599478 51153843 55088754 65399217 70429926 102307686 119358967 130798434 132475337 152598173 238717934 264950674 305196346 358076901 397426011 457794519 716153802 794852022 915589038 927327359 1722179381 1854654718 2781982077 3444358762 5166538143 5563964154 10333076286 12055255667 24110511334 36165767001 72331534002