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149788552273920 = 2133257223894051
BaseRepresentation
bin100010000011101101011101…
…011100110010000000000000
3201122100122102202021100222100
4202003231131130302000000
5124113113423340231140
61250323524433310400
743356602650554600
oct4203553534620000
9648318382240870
10149788552273920
11437aaa7186301a
1214972037105400
136576ccc940731
1428dbb39bdcc00
15124b525e7b530
hex883b5d732000

149788552273920 has 2016 divisors, whose sum is σ = 637508643557760. Its totient is φ = 32372844134400.

The previous prime is 149788552273907. The next prime is 149788552273931. The reversal of 149788552273920 is 29372255887941.

149788552273920 is a `hidden beast` number, since 1 + 4 + 9 + 7 + 8 + 8 + 5 + 5 + 227 + 392 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1497885522739202 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36975695895 + ... + 36975699945.

Almost surely, 2149788552273920 is an apocalyptic number.

149788552273920 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 149788552273920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318754321778880).

149788552273920 is an abundant number, since it is smaller than the sum of its proper divisors (487720091283840).

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

149788552273920 is a wasteful number, since it uses less digits than its factorization.

149788552273920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 609638400, while the sum is 72.

The spelling of 149788552273920 in words is "one hundred forty-nine trillion, seven hundred eighty-eight billion, five hundred fifty-two million, two hundred seventy-three thousand, nine hundred twenty".