Search a number
-
+
15021297664 = 2126775417
BaseRepresentation
bin11011111110101011…
…01101000000000000
31102202212012222120221
431333111231000000
5221230423011124
610522314312424
71041145631512
oct157725550000
942685188527
1015021297664
11640914929a
122ab2728714
131555095019
14a26da9bb2
155cdb1ece4
hex37f56d000

15021297664 has 52 divisors (see below), whose sum is σ = 30088852164. Its totient is φ = 7498170368.

The previous prime is 15021297661. The next prime is 15021297667. The reversal of 15021297664 is 46679212051.

It is an interprime number because it is at equal distance from previous prime (15021297661) and next prime (15021297667).

It can be written as a sum of positive squares in 2 ways, for example, as 9093529600 + 5927768064 = 95360^2 + 76992^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 15021297664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15021297661) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2770284 + ... + 2775700.

Almost surely, 215021297664 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 15021297664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15044426082).

15021297664 is an abundant number, since it is smaller than the sum of its proper divisors (15067554500).

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

15021297664 is an frugal number, since it uses more digits than its factorization.

15021297664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6118 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The spelling of 15021297664 in words is "fifteen billion, twenty-one million, two hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 512 677 1024 1354 2048 2708 4096 5416 5417 10832 10834 21664 21668 43328 43336 86656 86672 173312 173344 346624 346688 693248 693376 1386496 1386752 2772992 2773504 3667309 5547008 7334618 11094016 14669236 22188032 29338472 58676944 117353888 234707776 469415552 938831104 1877662208 3755324416 7510648832 15021297664