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256237892120 = 235719711713967
BaseRepresentation
bin1110111010100011110…
…1111111001000011000
3220111101122210121102202
43232220331333020120
513144233400021440
6313414123145332
724340546101110
oct3565075771030
9814348717382
10256237892120
11997406789a1
12417b1675248
131b21751b212
14c58b068040
1569ea793615
hex3ba8f7f218

256237892120 has 128 divisors (see below), whose sum is σ = 662974709760. Its totient is φ = 87310379520.

The previous prime is 256237892101. The next prime is 256237892143. The reversal of 256237892120 is 21298732652.

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, 64590377 + ... + 64594343.

It is an arithmetic number, because the mean of its divisors is an integer number (5179489920).

Almost surely, 2256237892120 is an apocalyptic number.

256237892120 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 256237892120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331487354880).

256237892120 is an abundant number, since it is smaller than the sum of its proper divisors (406736817640).

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

256237892120 is a wasteful number, since it uses less digits than its factorization.

256237892120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5353 (or 5349 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 47.

The spelling of 256237892120 in words is "two hundred fifty-six billion, two hundred thirty-seven million, eight hundred ninety-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 197 280 394 788 985 1171 1379 1576 1970 2342 2758 3940 3967 4684 5516 5855 6895 7880 7934 8197 9368 11032 11710 13790 15868 16394 19835 23420 27580 27769 31736 32788 39670 40985 46840 55160 55538 65576 79340 81970 111076 138845 158680 163940 222152 230687 277690 327880 461374 555380 781499 922748 1110760 1153435 1562998 1614809 1845496 2306870 3125996 3229618 3907495 4613740 4645357 5470493 6251992 6459236 7814990 8074045 9227480 9290714 10940986 12918472 15629980 16148090 18581428 21881972 23226785 27352465 31259960 32296180 32517499 37162856 43763944 46453570 54704930 64592360 65034998 92907140 109409860 130069996 162587495 185814280 218819720 260139992 325174990 650349980 915135329 1300699960 1830270658 3660541316 4575676645 6405947303 7321082632 9151353290 12811894606 18302706580 25623789212 32029736515 36605413160 51247578424 64059473030 128118946060 256237892120