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148071376992 = 253711193171479
BaseRepresentation
bin1000100111100110111…
…1011110100001100000
3112011012100102022110210
42021321233132201200
54411222233030432
6152004551254120
713461226636440
oct2117157364140
9464170368423
10148071376992
1157884483140
122484497a340
1310c69b36606
147249596120
153cb961a8cc
hex2279bde860

148071376992 has 768 divisors, whose sum is σ = 535088332800. Its totient is φ = 34691328000.

The previous prime is 148071376991. The next prime is 148071377009. The reversal of 148071376992 is 299673170841.

It is a happy number.

148071376992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148071376991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 309125809 + ... + 309126287.

It is an arithmetic number, because the mean of its divisors is an integer number (696729600).

Almost surely, 2148071376992 is an apocalyptic number.

148071376992 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 148071376992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267544166400).

148071376992 is an abundant number, since it is smaller than the sum of its proper divisors (387016955808).

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

148071376992 is a wasteful number, since it uses less digits than its factorization.

148071376992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 57.

The spelling of 148071376992 in words is "one hundred forty-eight billion, seventy-one million, three hundred seventy-six thousand, nine hundred ninety-two".