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52141510400 = 285271163873
BaseRepresentation
bin110000100011111000…
…000100111100000000
311222120211110011121212
4300203320010330000
51323241211313100
635541541305252
73524054345210
oct604370047400
9158524404555
1052141510400
1120127583561
12a132105228
134bbc632a45
142748d04240
1515528ab635
hexc23e04f00

52141510400 has 108 divisors (see below), whose sum is σ = 147495424272. Its totient is φ = 17877073920.

The previous prime is 52141510387. The next prime is 52141510403. The reversal of 52141510400 is 401514125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52141510403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 537137 + ... + 626736.

Almost surely, 252141510400 is an apocalyptic number.

52141510400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52141510400 is an abundant number, since it is smaller than the sum of its proper divisors (95353913872).

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

52141510400 is a wasteful number, since it uses less digits than its factorization.

52141510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163906 (or 1163887 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The spelling of 52141510400 in words is "fifty-two billion, one hundred forty-one million, five hundred ten thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 128 140 160 175 200 224 256 280 320 350 400 448 560 640 700 800 896 1120 1280 1400 1600 1792 2240 2800 3200 4480 5600 6400 8960 11200 22400 44800 1163873 2327746 4655492 5819365 8147111 9310984 11638730 16294222 18621968 23277460 29096825 32588444 37243936 40735555 46554920 58193650 65176888 74487872 81471110 93109840 116387300 130353776 148975744 162942220 186219680 203677775 232774600 260707552 297951488 325884440 372439360 407355550 465549200 521415104 651768880 744878720 814711100 931098400 1042830208 1303537760 1489757440 1629422200 1862196800 2085660416 2607075520 3258844400 3724393600 5214151040 6517688800 7448787200 10428302080 13035377600 26070755200 52141510400