Search a number
-
+
15007230016 = 26153132
BaseRepresentation
bin11011111101000000…
…00010100001000000
31102201212202021101221
431332200002201000
5221213322330031
610521053004424
71040615231122
oct157640024100
942655667357
1015007230016
116401210039
122aa9a83714
1315521aab7c
14a25187212
155cc791a11
hex37e802840

15007230016 has 21 divisors (see below), whose sum is σ = 29781916941. Its totient is φ = 7503124992.

The previous prime is 15007230001. The next prime is 15007230019. The reversal of 15007230016 is 61003270051.

The square root of 15007230016 is 122504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1960000 + 15005270016 = 1400^2 + 122496^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15007230019) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 972376 + ... + 987688.

It is an arithmetic number, because the mean of its divisors is an integer number (1418186521).

Almost surely, 215007230016 is an apocalyptic number.

15007230016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15007230016 is the 122504-th square number.

It is an amenable number.

15007230016 is a deficient number, since it is larger than the sum of its proper divisors (14774686925).

15007230016 is an frugal number, since it uses more digits than its factorization.

15007230016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30638 (or 15315 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 25.

Multiplying 15007230016 by its sum of digits (25), we get a square (375180750400 = 6125202).

The spelling of 15007230016 in words is "fifteen billion, seven million, two hundred thirty thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 15313 30626 61252 122504 245008 490016 980032 234487969 468975938 937951876 1875903752 3751807504 7503615008 15007230016