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149108424960 = 28351119475967
BaseRepresentation
bin1000101011011110001…
…1100000000100000000
3112020212121210210211210
42022313203200010000
54420333224044320
6152255515010120
713526021462055
oct2126743400400
9466777723753
10149108424960
1158266900680
1224a94139940
13110a3945771
1473071c902c
153d2a6b90e0
hex22b78e0100

149108424960 has 1152 divisors, whose sum is σ = 576427622400. Its totient is φ = 32456540160.

The previous prime is 149108424911. The next prime is 149108424961. The reversal of 149108424960 is 69424801941.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (149108424961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2225498847 + ... + 2225498913.

It is an arithmetic number, because the mean of its divisors is an integer number (500371200).

Almost surely, 2149108424960 is an apocalyptic number.

149108424960 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 149108424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288213811200).

149108424960 is an abundant number, since it is smaller than the sum of its proper divisors (427319197440).

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

149108424960 is a wasteful number, since it uses less digits than its factorization.

149108424960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 149108424960 in words is "one hundred forty-nine billion, one hundred eight million, four hundred twenty-four thousand, nine hundred sixty".