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149874382080 = 283354792269
BaseRepresentation
bin1000101110010100110…
…1011001010100000000
3112022212000002110111000
42023211031121110000
54423420320211310
6152503520052000
713554012141153
oct2134515312400
9468760073430
10149874382080
115861a1aa595
1225068764000
1311196539427
14737ac11c9a
153d72a694c0
hex22e5359500

149874382080 has 288 divisors, whose sum is σ = 543167654400. Its totient is φ = 39115726848.

The previous prime is 149874382043. The next prime is 149874382081. The reversal of 149874382080 is 80283478941.

It is a happy number.

149874382080 is a `hidden beast` number, since 1 + 498 + 74 + 3 + 8 + 2 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149874382081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1578186 + ... + 1670454.

It is an arithmetic number, because the mean of its divisors is an integer number (1885998800).

Almost surely, 2149874382080 is an apocalyptic number.

149874382080 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 149874382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271583827200).

149874382080 is an abundant number, since it is smaller than the sum of its proper divisors (393293272320).

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

149874382080 is an equidigital number, since it uses as much as digits as its factorization.

149874382080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92346 (or 92326 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 149874382080 in words is "one hundred forty-nine billion, eight hundred seventy-four million, three hundred eighty-two thousand, eighty".