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148423627968 = 263721123127491
BaseRepresentation
bin1000101000111010111…
…1001101010011000000
3112012002220020111222020
42022032233031103000
54412432422043333
6152103533241440
713503035010300
oct2121657152300
9465086214866
10148423627968
1157a452a5550
1224922933280
1310cc4aca245
14728028b600
153cda4eb3b3
hex228ebcd4c0

148423627968 has 672 divisors, whose sum is σ = 525177520128. Its totient is φ = 36510566400.

The previous prime is 148423627951. The next prime is 148423627987. The reversal of 148423627968 is 869726324841.

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

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 302288203 + ... + 302288693.

Almost surely, 2148423627968 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 148423627968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262588760064).

148423627968 is an abundant number, since it is smaller than the sum of its proper divisors (376753892160).

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

148423627968 is a wasteful number, since it uses less digits than its factorization.

148423627968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 664 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The spelling of 148423627968 in words is "one hundred forty-eight billion, four hundred twenty-three million, six hundred twenty-seven thousand, nine hundred sixty-eight".