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52901840016 = 243463892
BaseRepresentation
bin110001010001001100…
…100000010010010000
312001112211010220210000
4301101030200102100
51331320332340031
640145222010000
73551646135504
oct612114402220
9161484126700
1052901840016
1120487789443
12a304876900
134cb100611c
1427bbca4304
1515994e93e6
hexc51320490

52901840016 has 75 divisors (see below), whose sum is σ = 153137241961. Its totient is φ = 17631186624.

The previous prime is 52901839951. The next prime is 52901840027. The reversal of 52901840016 is 61004810925.

The square root of 52901840016 is 230004.

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., 148937616 + 52752902400 = 12204^2 + 229680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8276950 + ... + 8283338.

Almost surely, 252901840016 is an apocalyptic number.

52901840016 is the 230004-th square number.

It is an amenable number.

52901840016 is an abundant number, since it is smaller than the sum of its proper divisors (100235401945).

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

52901840016 is an frugal number, since it uses more digits than its factorization.

52901840016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12798 (or 6394 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 52901840016 by its sum of digits (36), we get a square (1904466240576 = 13800242).

52901840016 divided by its sum of digits (36) gives a square (1469495556 = 383342).

The spelling of 52901840016 in words is "fifty-two billion, nine hundred one million, eight hundred forty thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 6389 12778 19167 25556 38334 51112 57501 76668 102224 115002 153336 172503 230004 306672 345006 460008 517509 690012 920016 1035018 1380024 2070036 2760048 4140072 8280144 40819321 81638642 122457963 163277284 244915926 326554568 367373889 489831852 653109136 734747778 979663704 1102121667 1469495556 1959327408 2204243334 2938991112 3306365001 4408486668 5877982224 6612730002 8816973336 13225460004 17633946672 26450920008 52901840016