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5137438332 = 223132313910301
BaseRepresentation
bin1001100100011011…
…10001011001111100
3111021000222220111210
410302031301121330
541010141011312
62205441044420
7241211335215
oct46215613174
914230886453
105137438332
1121a6a4a504
12bb4626710
1363b47cc50
1436a43a40c
15201053e3c
hex13237167c

5137438332 has 96 divisors (see below), whose sum is σ = 13568970240. Its totient is φ = 1500998400.

The previous prime is 5137438331. The next prime is 5137438337. The reversal of 5137438332 is 2338347315.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5137438331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 493582 + ... + 503882.

It is an arithmetic number, because the mean of its divisors is an integer number (141343440).

Almost surely, 25137438332 is an apocalyptic number.

5137438332 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5137438332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6784485120).

5137438332 is an abundant number, since it is smaller than the sum of its proper divisors (8431531908).

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

5137438332 is a wasteful number, since it uses less digits than its factorization.

5137438332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483 (or 10481 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 5137438332 is about 71675.9257491663. The cubic root of 5137438332 is about 1725.5022923737.

The spelling of 5137438332 in words is "five billion, one hundred thirty-seven million, four hundred thirty-eight thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 23 26 39 46 52 69 78 92 138 139 156 276 278 299 417 556 598 834 897 1196 1668 1794 1807 3197 3588 3614 5421 6394 7228 9591 10301 10842 12788 19182 20602 21684 30903 38364 41204 41561 61806 83122 123612 124683 133913 166244 236923 249366 267826 401739 473846 498732 535652 710769 803478 947692 1421538 1431839 1606956 2843076 2863678 3079999 4295517 5727356 6159998 8591034 9239997 12319996 17182068 18479994 18613907 32932297 36959988 37227814 55841721 65864594 74455628 98796891 111683442 131729188 197593782 223366884 395187564 428119861 856239722 1284359583 1712479444 2568719166 5137438332