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149407365481920 = 263557131719131499
BaseRepresentation
bin100001111110001010011100…
…111100100100010111000000
3201121000012112012001222200000
4201332022130330210113000
5124040342241030410140
61245432443545400000
743320216540362520
oct4176123474442700
9647005465058600
10149407365481920
1143673342855307
1214910194499000
13654a091b5b640
1428c74d846d680
151241666021a30
hex87e29cf245c0

149407365481920 has 5376 divisors, whose sum is σ = 738109532160000. Its totient is φ = 27837014999040.

The previous prime is 149407365481919. The next prime is 149407365481949. The reversal of 149407365481920 is 29184563704941.

149407365481920 is a `hidden beast` number, since 1 + 4 + 9 + 4 + 0 + 7 + 3 + 65 + 481 + 92 + 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 767 ways as a sum of consecutive naturals, for example, 299413557831 + ... + 299413558329.

It is an arithmetic number, because the mean of its divisors is an integer number (137297160000).

It is a 1-persistent number, because it is pandigital, but 2⋅149407365481920 = 298814730963840 is not.

Almost surely, 2149407365481920 is an apocalyptic number.

149407365481920 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 149407365481920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369054766080000).

149407365481920 is an abundant number, since it is smaller than the sum of its proper divisors (588702166678080).

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

149407365481920 is a wasteful number, since it uses less digits than its factorization.

149407365481920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 149407365481920 in words is "one hundred forty-nine trillion, four hundred seven billion, three hundred sixty-five million, four hundred eighty-one thousand, nine hundred twenty".