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148962808032 = 253311071313571
BaseRepresentation
bin1000101010111011100…
…0000001000011100000
3112020111110210200222020
42022232320001003200
54420033434324112
6152233233541440
713522302655653
oct2125670010340
9466443720866
10148962808032
11581a1692505
1224a53414880
131107c71c8bc
1472d1b2189a
153d1ca0348c
hex22aee010e0

148962808032 has 192 divisors, whose sum is σ = 410638491648. Its totient is φ = 47226816000.

The previous prime is 148962807943. The next prime is 148962808051. The reversal of 148962808032 is 230808269841.

148962808032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41712807 + ... + 41716377.

It is an arithmetic number, because the mean of its divisors is an integer number (2138742144).

Almost surely, 2148962808032 is an apocalyptic number.

148962808032 is a gapful number since it is divisible by the number (12) 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 148962808032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205319245824).

148962808032 is an abundant number, since it is smaller than the sum of its proper divisors (261675683616).

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

148962808032 is a wasteful number, since it uses less digits than its factorization.

148962808032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3853 (or 3845 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 148962808032 in words is "one hundred forty-eight billion, nine hundred sixty-two million, eight hundred eight thousand, thirty-two".