Search a number
-
+
15313206304 = 2511210139157
BaseRepresentation
bin11100100001011110…
…01111110000100000
31110112012111110222001
432100233033300200
5222330140100204
611011303053344
71051322051224
oct162057176040
943465443861
1015313206304
1165489a6600
122b74441254
1315a06bbc26
14a53a74784
155e95814a4
hex390bcfc20

15313206304 has 72 divisors (see below), whose sum is σ = 33466697964. Its totient is φ = 6891456000.

The previous prime is 15313206301. The next prime is 15313206319. The reversal of 15313206304 is 40360231351.

It can be written as a sum of positive squares in 2 ways, for example, as 11955235600 + 3357970704 = 109340^2 + 57948^2 .

It is not an unprimeable number, because it can be changed into a prime (15313206301) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 371494 + ... + 410650.

Almost surely, 215313206304 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 15313206304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16733348982).

15313206304 is an abundant number, since it is smaller than the sum of its proper divisors (18153491660).

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

15313206304 is a wasteful number, since it uses less digits than its factorization.

15313206304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39290 (or 39271 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 15313206304 its reverse (40360231351), we get a palindrome (55673437655).

The spelling of 15313206304 in words is "fifteen billion, three hundred thirteen million, two hundred six thousand, three hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 121 176 202 242 352 404 484 808 968 1111 1616 1936 2222 3232 3872 4444 8888 12221 17776 24442 35552 39157 48884 78314 97768 156628 195536 313256 391072 430727 626512 861454 1253024 1722908 3445816 3954857 4737997 6891632 7909714 9475994 13783264 15819428 18951988 31638856 37903976 43503427 63277712 75807952 87006854 126555424 151615904 174013708 348027416 478537697 696054832 957075394 1392109664 1914150788 3828301576 7656603152 15313206304