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5200874960 = 245317129537
BaseRepresentation
bin1001101011111111…
…10000110111010000
3111102110100211012112
410311333300313100
541122410444320
62220024444452
7242611464521
oct46577606720
914373324175
105200874960
112229838376
121011919728
1364b661208
14374a30848
152068d4ec5
hex135ff0dd0

5200874960 has 80 divisors (see below), whose sum is σ = 12658332672. Its totient is φ = 1984819200.

The previous prime is 5200874951. The next prime is 5200874971. The reversal of 5200874960 is 694780025.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 161312 + ... + 190848.

Almost surely, 25200874960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5200874960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6329166336).

5200874960 is an abundant number, since it is smaller than the sum of its proper divisors (7457457712).

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

5200874960 is a wasteful number, since it uses less digits than its factorization.

5200874960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29652 (or 29646 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The square root of 5200874960 is about 72117.0920101469. The cubic root of 5200874960 is about 1732.5753750487.

The spelling of 5200874960 in words is "five billion, two hundred million, eight hundred seventy-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 71 80 124 142 155 248 284 310 355 496 568 620 710 1136 1240 1420 2201 2480 2840 4402 5680 8804 11005 17608 22010 29537 35216 44020 59074 88040 118148 147685 176080 236296 295370 472592 590740 915647 1181480 1831294 2097127 2362960 3662588 4194254 4578235 7325176 8388508 9156470 10485635 14650352 16777016 18312940 20971270 33554032 36625880 41942540 65010937 73251760 83885080 130021874 167770160 260043748 325054685 520087496 650109370 1040174992 1300218740 2600437480 5200874960