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149209887456 = 2534723137897
BaseRepresentation
bin1000101011110110011…
…0100011001011100000
3112021010200201122020000
42022331212203023200
54421040212344311
6152313541420000
713531363055100
oct2127546431340
9467120648200
10149209887456
1158309100983
1224b0210a600
13110bb97bb46
14731687b200
153d3455c056
hex22bd9a32e0

149209887456 has 360 divisors, whose sum is σ = 526947132096. Its totient is φ = 41255101440.

The previous prime is 149209887443. The next prime is 149209887473. The reversal of 149209887456 is 654788902941.

149209887456 is a `hidden beast` number, since 1 + 4 + 92 + 0 + 98 + 8 + 7 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 149209887393 and 149209887402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3918300 + ... + 3956196.

Almost surely, 2149209887456 is an apocalyptic number.

149209887456 is a gapful number since it is divisible by the number (16) 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 149209887456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263473566048).

149209887456 is an abundant number, since it is smaller than the sum of its proper divisors (377737244640).

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

149209887456 is a wasteful number, since it uses less digits than its factorization.

149209887456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37964 (or 37940 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 149209887456 in words is "one hundred forty-nine billion, two hundred nine million, eight hundred eighty-seven thousand, four hundred fifty-six".