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252704427880 = 23543233719877
BaseRepresentation
bin1110101101011001011…
…0111000111101101000
3220011021101222000201211
43223112112320331220
513120014313143010
6312031340522504
724154152124102
oct3532626707550
9804241860654
10252704427880
1198198074a13
1240b86250434
131aaa3465b88
14c333a78572
15689047608a
hex3ad65b8f68

252704427880 has 128 divisors (see below), whose sum is σ = 585784742400. Its totient is φ = 98058627072.

The previous prime is 252704427793. The next prime is 252704427883. The reversal of 252704427880 is 88724407252.

252704427880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (252704427883) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 288146002 + ... + 288146878.

It is an arithmetic number, because the mean of its divisors is an integer number (4576443300).

Almost surely, 2252704427880 is an apocalyptic number.

252704427880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252704427880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292892371200).

252704427880 is an abundant number, since it is smaller than the sum of its proper divisors (333080314520).

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

252704427880 is a wasteful number, since it uses less digits than its factorization.

252704427880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1879 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 49.

The spelling of 252704427880 in words is "two hundred fifty-two billion, seven hundred four million, four hundred twenty-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 233 344 430 466 719 860 877 932 1165 1438 1720 1754 1864 2330 2876 3508 3595 4385 4660 5752 7016 7190 8770 9320 10019 14380 17540 20038 28760 30917 35080 37711 40076 50095 61834 75422 80152 100190 123668 150844 154585 167527 188555 200380 204341 247336 301688 309170 335054 377110 400760 408682 618340 630563 670108 754220 817364 837635 1021705 1236680 1261126 1340216 1508440 1634728 1675270 2043410 2522252 3152815 3350540 4086820 5044504 6305630 6701080 7203661 8173640 8786663 12611260 14407322 17573326 25222520 27114209 28814644 35146652 36018305 43933315 54228418 57629288 70293304 72036610 87866630 108456836 135571045 144073220 146921179 175733260 216913672 271142090 288146440 293842358 351466520 542284180 587684716 734605895 1084568360 1175369432 1469211790 2938423580 5876847160 6317610697 12635221394 25270442788 31588053485 50540885576 63176106970 126352213940 252704427880