Search a number
-
+
150248716800000 = 212355713193173
BaseRepresentation
bin100010001010011010000001…
…011001001001000000000000
3201200222122012102000100001220
4202022122001121021000000
5124143133333000100000
61251315150240155040
743435053160523310
oct4212320131110000
9650878172010056
10150248716800000
1143968139726345
1214a2725b308a80
1365ab515b22860
142916110641440
1512584a97761a0
hex88a681649000

150248716800000 has 4992 divisors, whose sum is σ = 678826632314880. Its totient is φ = 28665446400000.

The previous prime is 150248716799999. The next prime is 150248716800029. The reversal of 150248716800000 is 8617842051.

It is a tau number, because it is divible by the number of its divisors (4992).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 2058201599964 + ... + 2058201600036.

Almost surely, 2150248716800000 is an apocalyptic number.

150248716800000 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 150248716800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339413316157440).

150248716800000 is an abundant number, since it is smaller than the sum of its proper divisors (528577915514880).

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

150248716800000 is an equidigital number, since it uses as much as digits as its factorization.

150248716800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The spelling of 150248716800000 in words is "one hundred fifty trillion, two hundred forty-eight billion, seven hundred sixteen million, eight hundred thousand".