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252797534752 = 2571965519067
BaseRepresentation
bin1110101101101111101…
…0000100001000100000
3220011111220011100100111
43223123322010020200
513120212132103002
6312044504301104
724156362406520
oct3533372041040
9804456140314
10252797534752
1198235688544
1240bb1471794
131aab9834cb9
14c342193680
1568987183d7
hex3adbe84220

252797534752 has 96 divisors (see below), whose sum is σ = 598888442880. Its totient is φ = 102612614400.

The previous prime is 252797534707. The next prime is 252797534777. The reversal of 252797534752 is 257435797252.

It is a hoax number, since the sum of its digits (58) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 27876523 + ... + 27885589.

It is an arithmetic number, because the mean of its divisors is an integer number (6238421280).

Almost surely, 2252797534752 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 252797534752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299444221440).

252797534752 is an abundant number, since it is smaller than the sum of its proper divisors (346090908128).

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

252797534752 is a wasteful number, since it uses less digits than its factorization.

252797534752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15654 (or 15646 counting only the distinct ones).

The product of its digits is 37044000, while the sum is 58.

The spelling of 252797534752 in words is "two hundred fifty-two billion, seven hundred ninety-seven million, five hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 6551 9067 13102 18134 26204 36268 45857 52408 63469 72536 91714 104816 124469 126938 145072 172273 183428 209632 248938 253876 290144 344546 366856 497876 507752 689092 733712 871283 995752 1015504 1205911 1378184 1467424 1742566 1991504 2031008 2411822 2756368 3485132 3983008 4823644 5512736 6970264 9647288 13940528 19294576 27881056 38589152 59397917 118795834 237591668 415785419 475183336 831570838 950366672 1128560423 1663141676 1900733344 2257120846 3326283352 4514241692 6652566704 7899922961 9028483384 13305133408 15799845922 18056966768 31599691844 36113933536 63199383688 126398767376 252797534752