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252764212280 = 235232913616961
BaseRepresentation
bin1110101101100111101…
…0111100110000111000
3220011102120110101111212
43223121322330300320
513120130114243110
6312041314142252
724155506232456
oct3533172746070
9804376411455
10252764212280
1198218898908
1240ba2281988
131aab2968968
14c33b99b9d6
156895834e05
hex3ad9ebcc38

252764212280 has 128 divisors (see below), whose sum is σ = 614449411200. Its totient is φ = 93292953600.

The previous prime is 252764212247. The next prime is 252764212291. The reversal of 252764212280 is 82212467252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36308000 + ... + 36314960.

It is an arithmetic number, because the mean of its divisors is an integer number (4800386025).

Almost surely, 2252764212280 is an apocalyptic number.

252764212280 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 252764212280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307224705600).

252764212280 is an abundant number, since it is smaller than the sum of its proper divisors (361685198920).

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

252764212280 is a wasteful number, since it uses less digits than its factorization.

252764212280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8385 (or 8381 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 252764212280 in words is "two hundred fifty-two billion, seven hundred sixty-four million, two hundred twelve thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 29 40 46 58 92 115 116 145 184 230 232 290 460 580 667 920 1160 1334 1361 2668 2722 3335 5336 5444 6670 6805 6961 10888 13340 13610 13922 26680 27220 27844 31303 34805 39469 54440 55688 62606 69610 78938 125212 139220 156515 157876 160103 197345 201869 250424 278440 313030 315752 320206 394690 403738 626060 640412 789380 800515 807476 907787 1009345 1252120 1280824 1578760 1601030 1614952 1815574 2018690 3202060 3631148 4037380 4538935 4642987 6404120 7262296 8074760 9077870 9285974 9473921 18155740 18571948 18947842 23214935 36311480 37143896 37895684 46429870 47369605 75791368 92859740 94739210 185719480 189478420 217900183 274743709 378956840 435800366 549487418 871600732 1089500915 1098974836 1373718545 1743201464 2179001830 2197949672 2747437090 4358003660 5494874180 6319105307 8716007320 10989748360 12638210614 25276421228 31595526535 50552842456 63191053070 126382106140 252764212280