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5170627456 = 27373732927
BaseRepresentation
bin1001101000011000…
…11000001110000000
3111100100110002102121
410310030120032000
541042140034311
62213024254024
7242063415421
oct46414301600
914310402377
105170627456
112213758a35
121003771314
13645300697
143709d9648
15203e0cb71
hex134318380

5170627456 has 64 divisors (see below), whose sum is σ = 10611247680. Its totient is φ = 2507839488.

The previous prime is 5170627439. The next prime is 5170627459. The reversal of 5170627456 is 6547260715.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5170627459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1765065 + ... + 1767991.

It is an arithmetic number, because the mean of its divisors is an integer number (165800745).

Almost surely, 25170627456 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 5170627456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305623840).

5170627456 is an abundant number, since it is smaller than the sum of its proper divisors (5440620224).

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

5170627456 is a wasteful number, since it uses less digits than its factorization.

5170627456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3351 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 43.

The square root of 5170627456 is about 71907.0751456350. The cubic root of 5170627456 is about 1729.2100435220.

The spelling of 5170627456 in words is "five billion, one hundred seventy million, six hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 373 592 746 1184 1492 2368 2927 2984 4736 5854 5968 11708 11936 13801 23416 23872 27602 46832 47744 55204 93664 108299 110408 187328 216598 220816 374656 433196 441632 866392 883264 1091771 1732784 1766528 2183542 3465568 4367084 6931136 8734168 13862272 17468336 34936672 40395527 69873344 80791054 139746688 161582108 323164216 646328432 1292656864 2585313728 5170627456