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151093909264 = 24971772
BaseRepresentation
bin1000110010110111100…
…1100001011100010000
3112102222222211212021111
42030231321201130100
54433420020044024
6153224522503104
713626151016044
oct2145571413420
9472888755244
10151093909264
11590956333a1
1225349064a94
131132c0a9a4c
147454b86024
153de4b60a94
hex232de61710

151093909264 has 15 divisors (see below), whose sum is σ = 292747461717. Its totient is φ = 75546177216.

The previous prime is 151093909261. The next prime is 151093909277. The reversal of 151093909264 is 462909390151.

The square root of 151093909264 is 388708.

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., 122934384400 + 28159524864 = 350620^2 + 167808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (151093909261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1506244 + ... + 1603420.

Almost surely, 2151093909264 is an apocalyptic number.

151093909264 is the 388708-th square number.

It is an amenable number.

151093909264 is a deficient number, since it is larger than the sum of its proper divisors (141653552453).

151093909264 is an frugal number, since it uses more digits than its factorization.

151093909264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194362 (or 97179 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

Multiplying 151093909264 by its sum of digits (49), we get a square (7403601553936 = 27209562).

The spelling of 151093909264 in words is "one hundred fifty-one billion, ninety-three million, nine hundred nine thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 97177 194354 388708 777416 1554832 9443369329 18886738658 37773477316 75546954632 151093909264