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252449973136 = 2459221292
BaseRepresentation
bin1110101100011100110…
…0001110001110010000
3220010121200011101110001
43223013030032032100
513114004143120021
6311550211015344
724144642236404
oct3530714161620
9803550141401
10252449973136
1198077479339
1240b14b9a554
131aa6282393a
14c30bd5d104
156877e62091
hex3ac730e390

252449973136 has 45 divisors (see below), whose sum is σ = 497786347441. Its totient is φ = 124027296512.

The previous prime is 252449973133. The next prime is 252449973169. The reversal of 252449973136 is 631379944252.

It is a happy number.

The square root of 252449973136 is 502444.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63885595536 + 188564377600 = 252756^2 + 434240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (252449973131) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 118575720 + ... + 118577848.

Almost surely, 2252449973136 is an apocalyptic number.

252449973136 is the 502444-th square number.

It is an amenable number.

252449973136 is a deficient number, since it is larger than the sum of its proper divisors (245336374305).

252449973136 is an frugal number, since it uses more digits than its factorization.

252449973136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4384 (or 2190 counting only the distinct ones).

The product of its digits is 9797760, while the sum is 55.

The spelling of 252449973136 in words is "two hundred fifty-two billion, four hundred forty-nine million, nine hundred seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 59 118 236 472 944 2129 3481 4258 6962 8516 13924 17032 27848 34064 55696 125611 251222 502444 1004888 2009776 4532641 7411049 9065282 14822098 18130564 29644196 36261128 59288392 72522256 118576784 267425819 534851638 1069703276 2139406552 4278813104 15778123321 31556246642 63112493284 126224986568 252449973136