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5075316864 = 273220872111
BaseRepresentation
bin1001011101000001…
…10011000010000000
3111002201002210212200
410232200303002000
540343240114424
62155341353200
7236525324112
oct45640630200
914081083780
105075316864
11217497a752
12b97868800
1362b63c497
143620a93b2
151ea8828c9
hex12e833080

5075316864 has 96 divisors (see below), whose sum is σ = 14618672640. Its totient is φ = 1690160640.

The previous prime is 5075316847. The next prime is 5075316871. The reversal of 5075316864 is 4686135705.

5075316864 is a `hidden beast` number, since 50 + 7 + 531 + 6 + 8 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 2403169 + ... + 2405279.

It is an arithmetic number, because the mean of its divisors is an integer number (152277840).

Almost surely, 25075316864 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 5075316864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7309336320).

5075316864 is an abundant number, since it is smaller than the sum of its proper divisors (9543355776).

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

5075316864 is a wasteful number, since it uses less digits than its factorization.

5075316864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4218 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5075316864 is about 71241.2581584576. The cubic root of 5075316864 is about 1718.5191942122.

The spelling of 5075316864 in words is "five billion, seventy-five million, three hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 2087 2111 4174 4222 6261 6333 8348 8444 12522 12666 16696 16888 18783 18999 25044 25332 33392 33776 37566 37998 50088 50664 66784 67552 75132 75996 100176 101328 133568 135104 150264 151992 200352 202656 267136 270208 300528 303984 400704 405312 601056 607968 801408 810624 1202112 1215936 2404224 2431872 4405657 8811314 13216971 17622628 26433942 35245256 39650913 52867884 70490512 79301826 105735768 140981024 158603652 211471536 281962048 317207304 422943072 563924096 634414608 845886144 1268829216 1691772288 2537658432 5075316864