Search a number
-
+
156425048640 = 2635571931489
BaseRepresentation
bin1001000110101110101…
…0001101001001000000
3112221202112022210200000
42101223222031021000
510030324303024030
6155505523400000
714205233655330
oct2215352151100
9487675283600
10156425048640
1160380953303
1226396523000
131199b719ba3
1477dcc050c0
154107bc7860
hex246ba8d240

156425048640 has 672 divisors, whose sum is σ = 641407952640. Its totient is φ = 35545153536.

The previous prime is 156425048639. The next prime is 156425048677. The reversal of 156425048640 is 46840524651.

It is a happy number.

156425048640 is a `hidden beast` number, since 1 + 5 + 64 + 2 + 504 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 105053016 + ... + 105054504.

It is an arithmetic number, because the mean of its divisors is an integer number (954476120).

Almost surely, 2156425048640 is an apocalyptic number.

156425048640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 156425048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320703976320).

156425048640 is an abundant number, since it is smaller than the sum of its proper divisors (484982904000).

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

156425048640 is a wasteful number, since it uses less digits than its factorization.

156425048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1721 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 156425048640 in words is "one hundred fifty-six billion, four hundred twenty-five million, forty-eight thousand, six hundred forty".