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148753211904 = 29321119257601
BaseRepresentation
bin1000101010001001100…
…0011110001000000000
3112012221212102010010200
42022202120132020000
54414121310240104
6152200345325200
713514146303353
oct2124230361000
9465855363120
10148753211904
11580a4345870
12249b5196800
131104818581b
1472b1d6229a
153d09400b39
hex22a261e200

148753211904 has 480 divisors, whose sum is σ = 495731396160. Its totient is φ = 42467328000.

The previous prime is 148753211897. The next prime is 148753211939. The reversal of 148753211904 is 409112357841.

148753211904 is a `hidden beast` number, since 1 + 487 + 53 + 2 + 119 + 0 + 4 = 666.

148753211904 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 148753211904.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247509204 + ... + 247509804.

It is an arithmetic number, because the mean of its divisors is an integer number (1032773742).

Almost surely, 2148753211904 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 148753211904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247865698080).

148753211904 is an abundant number, since it is smaller than the sum of its proper divisors (346978184256).

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

148753211904 is a wasteful number, since it uses less digits than its factorization.

148753211904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 148753211904 in words is "one hundred forty-eight billion, seven hundred fifty-three million, two hundred eleven thousand, nine hundred four".