Search a number
-
+
5151661476 = 22313210512417
BaseRepresentation
bin1001100110001000…
…00001110110100100
3111022000202111222220
410303010001312210
541022311131401
62211105552340
7241443254133
oct46304016644
914260674886
105151661476
112203a84575
12bb93456b0
136413bcb00
1436c29d91a
15202413336
hex133101da4

5151661476 has 72 divisors (see below), whose sum is σ = 13034103264. Its totient is φ = 1582963200.

The previous prime is 5151661457. The next prime is 5151661477. The reversal of 5151661476 is 6741661515.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5151661477) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2130220 + ... + 2132636.

It is an arithmetic number, because the mean of its divisors is an integer number (181029212).

Almost surely, 25151661476 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 5151661476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6517051632).

5151661476 is an abundant number, since it is smaller than the sum of its proper divisors (7882441788).

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

5151661476 is a wasteful number, since it uses less digits than its factorization.

5151661476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3486 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 5151661476 is about 71775.0755903468. The cubic root of 5151661476 is about 1727.0931925002.

The spelling of 5151661476 in words is "five billion, one hundred fifty-one million, six hundred sixty-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 169 338 507 676 1014 1051 2028 2102 2417 3153 4204 4834 6306 7251 9668 12612 13663 14502 27326 29004 31421 40989 54652 62842 81978 94263 125684 163956 177619 188526 355238 377052 408473 532857 710476 816946 1065714 1225419 1633892 2131428 2450838 2540267 4901676 5080534 7620801 10161068 15241602 30483204 33023471 66046942 99070413 132093884 198140826 396281652 429305123 858610246 1287915369 1717220492 2575830738 5151661476