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148959978048 = 26337243163251
BaseRepresentation
bin1000101010111010110…
…1001110001001000000
3112020111021110220222000
42022232231032021000
54420032223244143
6152233053144000
713522236631200
oct2125655161100
9466437426860
10148959978048
11581a002a282
1224a5248b000
131107bc6b75b
1472d15c6400
153d1c644bd3
hex22aeb4e240

148959978048 has 672 divisors, whose sum is σ = 526545169920. Its totient is φ = 41150592000.

The previous prime is 148959978031. The next prime is 148959978053. The reversal of 148959978048 is 840879959841.

148959978048 is a `hidden beast` number, since 1 + 489 + 59 + 97 + 8 + 0 + 4 + 8 = 666.

148959978048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 593465923 + ... + 593466173.

It is an arithmetic number, because the mean of its divisors is an integer number (783549360).

Almost surely, 2148959978048 is an apocalyptic number.

148959978048 is a gapful number since it is divisible by the number (18) 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 148959978048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263272584960).

148959978048 is an abundant number, since it is smaller than the sum of its proper divisors (377585191872).

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

148959978048 is a wasteful number, since it uses less digits than its factorization.

148959978048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 148959978048 in words is "one hundred forty-eight billion, nine hundred fifty-nine million, nine hundred seventy-eight thousand, forty-eight".