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252660729440 = 2557225589937
BaseRepresentation
bin1110101101001111000…
…0001100011001100000
3220011011100201220202002
43223103300030121200
513114422121320230
6312023140143132
724153111523310
oct3532360143140
9804140656662
10252660729440
11981754386a9
1240b73697aa8
131aa973a5b02
14c32bd41440
15688b6e3545
hex3ad3c0c660

252660729440 has 48 divisors (see below), whose sum is σ = 682183972512. Its totient is φ = 86626535424.

The previous prime is 252660729397. The next prime is 252660729443. The reversal of 252660729440 is 44927066252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252660729443) by changing a digit.

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, 112793849 + ... + 112796088.

It is an arithmetic number, because the mean of its divisors is an integer number (14212166094).

Almost surely, 2252660729440 is an apocalyptic number.

252660729440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252660729440 is an abundant number, since it is smaller than the sum of its proper divisors (429523243072).

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

252660729440 is a wasteful number, since it uses less digits than its factorization.

252660729440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225589959 (or 225589951 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 47.

The spelling of 252660729440 in words is "two hundred fifty-two billion, six hundred sixty million, seven hundred twenty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 225589937 451179874 902359748 1127949685 1579129559 1804719496 2255899370 3158259118 3609438992 4511798740 6316518236 7218877984 7895647795 9023597480 12633036472 15791295590 18047194960 25266072944 31582591180 36094389920 50532145888 63165182360 126330364720 252660729440