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252046903040 = 285414802723
BaseRepresentation
bin1110101010111100101…
…0101000011100000000
3220002120120201022012222
43222233022220130000
513112143001344130
6311442211510212
724131646220052
oct3525712503400
9802516638188
10252046903040
119798a9a6859
1240a21bb8368
131a9ca178b1a
14c2b05d98d2
156852893ce5
hex3aaf2a8700

252046903040 has 72 divisors (see below), whose sum is σ = 618456374928. Its totient is φ = 98359746560.

The previous prime is 252046903037. The next prime is 252046903103. The reversal of 252046903040 is 40309640252.

It is a super-2 number, since 2×2520469030402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2348882 + ... + 2453841.

It is an arithmetic number, because the mean of its divisors is an integer number (8589671874).

Almost surely, 2252046903040 is an apocalyptic number.

252046903040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252046903040 is an abundant number, since it is smaller than the sum of its proper divisors (366409471888).

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

252046903040 is an equidigital number, since it uses as much as digits as its factorization.

252046903040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802785 (or 4802771 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The spelling of 252046903040 in words is "two hundred fifty-two billion, forty-six million, nine hundred three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 640 656 820 1280 1312 1640 2624 3280 5248 6560 10496 13120 26240 52480 4802723 9605446 19210892 24013615 38421784 48027230 76843568 96054460 153687136 192108920 196911643 307374272 384217840 393823286 614748544 768435680 787646572 984558215 1229497088 1536871360 1575293144 1969116430 3073742720 3150586288 3938232860 6147485440 6301172576 7876465720 12602345152 15752931440 25204690304 31505862880 50409380608 63011725760 126023451520 252046903040