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252725241350680 = 2357971929547011
BaseRepresentation
bin111001011101101000101110…
…001111001000101000011000
31020010211022000121012001010021
4321131220232033020220120
5231111122243241210210
62253300212331000224
7104142540035231140
oct7135505617105030
91203738017161107
10252725241350680
117358719a23320a
1224417a17b99074
13ab02b70c211c7
144659d77433920
151e33e6bc2cbda
hexe5da2e3c8a18

252725241350680 has 64 divisors (see below), whose sum is σ = 650534180878080. Its totient is φ = 86559417571200.

The previous prime is 252725241350677. The next prime is 252725241350707. The reversal of 252725241350680 is 86053142527252.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 464501626 + ... + 465045385.

It is an arithmetic number, because the mean of its divisors is an integer number (10164596576220).

Almost surely, 2252725241350680 is an apocalyptic number.

252725241350680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252725241350680 is an abundant number, since it is smaller than the sum of its proper divisors (397808939527400).

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

252725241350680 is a wasteful number, since it uses less digits than its factorization.

252725241350680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929548000 (or 929547996 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 52.

The spelling of 252725241350680 in words is "two hundred fifty-two trillion, seven hundred twenty-five billion, two hundred forty-one million, three hundred fifty thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 971 1942 3884 4855 6797 7768 9710 13594 19420 27188 33985 38840 54376 67970 135940 271880 929547011 1859094022 3718188044 4647735055 6506829077 7436376088 9295470110 13013658154 18590940220 26027316308 32534145385 37181880440 52054632616 65068290770 130136581540 260273163080 902590147681 1805180295362 3610360590724 4512950738405 6318131033767 7220721181448 9025901476810 12636262067534 18051802953620 25272524135068 31590655168835 36103605907240 50545048270136 63181310337670 126362620675340 252725241350680