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148976656920 = 23335713217193
BaseRepresentation
bin1000101010111110110…
…0110110001000011000
3112020112102212022002000
42022233230312020120
54420101011010140
6152234450441000
713522531455510
oct2125754661030
9466472768060
10148976656920
11581a9491373
1224a57b93160
131108255b300
1472d38c8840
153d1dd3ba30
hex22afb36218

148976656920 has 1536 divisors, whose sum is σ = 686838528000. Its totient is φ = 28026445824.

The previous prime is 148976656909. The next prime is 148976656943. The reversal of 148976656920 is 29656679841.

148976656920 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 7 + 66 + 569 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 7840876671 + ... + 7840876689.

It is an arithmetic number, because the mean of its divisors is an integer number (447160500).

Almost surely, 2148976656920 is an apocalyptic number.

148976656920 is a gapful number since it is divisible by the number (10) 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 148976656920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343419264000).

148976656920 is an abundant number, since it is smaller than the sum of its proper divisors (537861871080).

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

148976656920 is a wasteful number, since it uses less digits than its factorization.

148976656920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 148976656920 in words is "one hundred forty-eight billion, nine hundred seventy-six million, six hundred fifty-six thousand, nine hundred twenty".