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5187138336 = 253237486781
BaseRepresentation
bin1001101010010110…
…10111001100100000
3111101111111221002200
410311023113030200
541110401411321
62214414213200
7242353643202
oct46513271440
914344457080
105187138336
112222005896
1210091b4200
13648861933
14372c96772
152055bed26
hex1352d7320

5187138336 has 72 divisors (see below), whose sum is σ = 15149629404. Its totient is φ = 1682311680.

The previous prime is 5187138323. The next prime is 5187138337. The reversal of 5187138336 is 6338317815.

5187138336 is a `hidden beast` number, since 5 + 187 + 138 + 336 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4919619600 + 267518736 = 70140^2 + 16356^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 5187138291 and 5187138300.

It is not an unprimeable number, because it can be changed into a prime (5187138337) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232735 + ... + 254046.

Almost surely, 25187138336 is an apocalyptic number.

It is an amenable number.

5187138336 is an abundant number, since it is smaller than the sum of its proper divisors (9962491068).

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

5187138336 is a wasteful number, since it uses less digits than its factorization.

5187138336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486834 (or 486823 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5187138336 is about 72021.7907025367. The cubic root of 5187138336 is about 1731.0486626614.

The spelling of 5187138336 in words is "five billion, one hundred eighty-seven million, one hundred thirty-eight thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 72 74 96 111 144 148 222 288 296 333 444 592 666 888 1184 1332 1776 2664 3552 5328 10656 486781 973562 1460343 1947124 2920686 3894248 4381029 5841372 7788496 8762058 11682744 15576992 17524116 18010897 23365488 35048232 36021794 46730976 54032691 70096464 72043588 108065382 140192928 144087176 162098073 216130764 288174352 324196146 432261528 576348704 648392292 864523056 1296784584 1729046112 2593569168 5187138336