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239021692084 = 22723123734297
BaseRepresentation
bin1101111010011011001…
…1011001010010110100
3211211221211111000211101
43132212303121102310
512404004023121314
6301445520215444
723161115601100
oct3364663312264
9754854430741
10239021692084
1192406571aaa
123a3a7a6a584
13197027babc6
14b7d678a900
15633e112174
hex37a6cd94b4

239021692084 has 108 divisors (see below), whose sum is σ = 516386092068. Its totient is φ = 96451326720.

The previous prime is 239021692073. The next prime is 239021692123. The reversal of 239021692084 is 480296120932.

It can be written as a sum of positive squares in 2 ways, for example, as 220920680484 + 18101011600 = 470022^2 + 134540^2 .

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, 6952024 + ... + 6986320.

Almost surely, 2239021692084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 239021692084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258193046034).

239021692084 is an abundant number, since it is smaller than the sum of its proper divisors (277364399984).

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

239021692084 is a wasteful number, since it uses less digits than its factorization.

239021692084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34414 (or 34374 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 239021692084 in words is "two hundred thirty-nine billion, twenty-one million, six hundred ninety-two thousand, eighty-four".

Divisors: 1 2 4 7 14 28 31 37 49 62 74 98 124 148 196 217 259 434 518 868 961 1036 1147 1519 1813 1922 2294 3038 3626 3844 4588 6076 6727 7252 8029 13454 16058 26908 32116 34297 35557 47089 56203 68594 71114 94178 112406 137188 142228 188356 224812 240079 248899 480158 497798 960316 995596 1063207 1268989 1680553 1742293 2126414 2537978 3361106 3484586 4252828 5075956 6722212 6969172 7442449 8882923 14884898 17765846 29769796 32959417 35531692 39338659 52097143 62180461 65918834 78677318 104194286 124360922 131837668 157354636 208388572 230715919 248721844 275370613 461431838 550741226 922863676 1101482452 1219498429 1615011433 1927594291 2438996858 3230022866 3855188582 4877993716 6460045732 7710377164 8536489003 17072978006 34145956012 59755423021 119510846042 239021692084