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5037168192 = 26377351341
BaseRepresentation
bin1001011000011110…
…10001011001000000
3111000001022122201220
410230033101121000
540304003340232
62151455555040
7235553136360
oct45417213100
914001278656
105037168192
112155394021
12b86b2ba80
136237734c4
1435adb89a0
151e734942c
hex12c3d1640

5037168192 has 112 divisors (see below), whose sum is σ = 15440387712. Its totient is φ = 1419448320.

The previous prime is 5037168163. The next prime is 5037168203. The reversal of 5037168192 is 2918617305.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 72442 + ... + 123782.

Almost surely, 25037168192 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 5037168192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7720193856).

5037168192 is an abundant number, since it is smaller than the sum of its proper divisors (10403219520).

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

5037168192 is a wasteful number, since it uses less digits than its factorization.

5037168192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51436 (or 51426 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 5037168192 is about 70973.0103067356. The cubic root of 5037168192 is about 1714.2026050503.

The spelling of 5037168192 in words is "five billion, thirty-seven million, one hundred sixty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 7008 8176 12264 14016 16352 24528 32704 49056 51341 98112 102682 154023 205364 308046 359387 410728 616092 718774 821456 1078161 1232184 1437548 1642912 2156322 2464368 2875096 3285824 3747893 4312644 4928736 5750192 7495786 8625288 9857472 11243679 11500384 14991572 17250576 22487358 23000768 26235251 29983144 34501152 44974716 52470502 59966288 69002304 78705753 89949432 104941004 119932576 157411506 179898864 209882008 239865152 314823012 359797728 419764016 629646024 719595456 839528032 1259292048 1679056064 2518584096 5037168192