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5147137164 = 223131910971583
BaseRepresentation
bin1001100101100101…
…10001010010001100
3111021201020122210210
410302302301102030
541020131342124
62210425002420
7241356641541
oct46262612214
914251218723
105147137164
112201474374
12bb7923410
136404976c0
1436b842bc8
15201d1ca29
hex132cb148c

5147137164 has 96 divisors (see below), whose sum is σ = 13635578880. Its totient is φ = 1498065408.

The previous prime is 5147137139. The next prime is 5147137187. The reversal of 5147137164 is 4617317415.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3250717 + ... + 3252299.

It is an arithmetic number, because the mean of its divisors is an integer number (142037280).

Almost surely, 25147137164 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 5147137164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6817789440).

5147137164 is an abundant number, since it is smaller than the sum of its proper divisors (8488441716).

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

5147137164 is a wasteful number, since it uses less digits than its factorization.

5147137164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2717 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The square root of 5147137164 is about 71743.5513757160. The cubic root of 5147137164 is about 1726.5874529401.

It can be divided in two parts, 5147 and 137164, that added together give a triangular number (142311 = T533).

The spelling of 5147137164 in words is "five billion, one hundred forty-seven million, one hundred thirty-seven thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 19 26 38 39 52 57 76 78 114 156 228 247 494 741 988 1097 1482 1583 2194 2964 3166 3291 4388 4749 6332 6582 9498 13164 14261 18996 20579 20843 28522 30077 41158 41686 42783 57044 60154 61737 62529 82316 83372 85566 90231 120308 123474 125058 171132 180462 246948 250116 270959 360924 391001 541918 782002 812877 1083836 1173003 1564004 1625754 1736551 2346006 3251508 3473102 4692012 5209653 6946204 10419306 20838612 22575163 32994469 45150326 65988938 67725489 90300652 98983407 131977876 135450978 197966814 270901956 395933628 428928097 857856194 1286784291 1715712388 2573568582 5147137164