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52974271590 = 23537596712073
BaseRepresentation
bin110001010101100000…
…110011110001100110
312001201212102211012220
4301111200303301212
51331442403142330
640200330253210
73553515610332
oct612540636146
9161655384186
1052974271590
1120514660349
12a324b87206
134cc3016646
1427c775a7c2
1515a0a55710
hexc55833c66

52974271590 has 128 divisors (see below), whose sum is σ = 134780613120. Its totient is φ = 13308945408.

The previous prime is 52974271589. The next prime is 52974271673. The reversal of 52974271590 is 9517247925.

It is a super-2 number, since 2×529742715902 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 4381794 + ... + 4393866.

It is an arithmetic number, because the mean of its divisors is an integer number (1052973540).

Almost surely, 252974271590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52974271590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67390306560).

52974271590 is an abundant number, since it is smaller than the sum of its proper divisors (81806341530).

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

52974271590 is a wasteful number, since it uses less digits than its factorization.

52974271590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246.

The product of its (nonzero) digits is 1587600, while the sum is 51.

The spelling of 52974271590 in words is "fifty-two billion, nine hundred seventy-four million, two hundred seventy-one thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 37 59 67 74 111 118 134 177 185 201 222 295 335 354 370 402 555 590 670 885 1005 1110 1770 2010 2183 2479 3953 4366 4958 6549 7437 7906 10915 11859 12073 12395 13098 14874 19765 21830 23718 24146 24790 32745 36219 37185 39530 59295 60365 65490 72438 74370 118590 120730 146261 181095 292522 362190 438783 446701 712307 731305 808891 877566 893402 1340103 1424614 1462610 1617782 2136921 2193915 2233505 2426673 2680206 3561535 4044455 4273842 4387830 4467010 4853346 6700515 7123070 8088910 10684605 12133365 13401030 21369210 24266730 26355359 29928967 47724569 52710718 59857934 79066077 89786901 95449138 131776795 143173707 149644835 158132154 179573802 238622845 263553590 286347414 299289670 395330385 448934505 477245690 715868535 790660770 897869010 1431737070 1765809053 3531618106 5297427159 8829045265 10594854318 17658090530 26487135795 52974271590