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149062462920 = 23345731131187
BaseRepresentation
bin1000101011010011010…
…0001010110111001000
3112020202102022200210000
42022310310022313020
54420234442303140
6152251153523000
713524623013000
oct2126464126710
9466672280700
10149062462920
1158242968718
1224a80873460
13110972722a7
147301063000
153d2663aa30
hex22b4d0adc8

149062462920 has 640 divisors, whose sum is σ = 589941792000. Its totient is φ = 33741453312.

The previous prime is 149062462909. The next prime is 149062462937. The reversal of 149062462920 is 29264260941.

149062462920 is a `hidden beast` number, since 1 + 49 + 0 + 62 + 462 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 125578567 + ... + 125579753.

It is an arithmetic number, because the mean of its divisors is an integer number (921784050).

Almost surely, 2149062462920 is an apocalyptic number.

149062462920 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 149062462920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294970896000).

149062462920 is an abundant number, since it is smaller than the sum of its proper divisors (440879329080).

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

149062462920 is a wasteful number, since it uses less digits than its factorization.

149062462920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1344 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 149062462920 in words is "one hundred forty-nine billion, sixty-two million, four hundred sixty-two thousand, nine hundred twenty".