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149608790496 = 253211173189611
BaseRepresentation
bin1000101101010101100…
…0001111100111100000
3112022011111100000022200
42023111120033213200
54422344322243441
6152421311333200
713544305510524
oct2132530174740
9468144300280
10149608790496
11584a3297710
1224bb3821200
13111534c8049
147353837d84
153d595a57b6
hex22d560f9e0

149608790496 has 288 divisors, whose sum is σ = 507287079936. Its totient is φ = 41292288000.

The previous prime is 149608790491. The next prime is 149608790497. The reversal of 149608790496 is 694097806941.

149608790496 is a `hidden beast` number, since 1 + 4 + 9 + 60 + 87 + 9 + 0 + 496 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149608790491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1624731 + ... + 1714341.

It is an arithmetic number, because the mean of its divisors is an integer number (1761413472).

Almost surely, 2149608790496 is an apocalyptic number.

149608790496 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 149608790496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253643539968).

149608790496 is an abundant number, since it is smaller than the sum of its proper divisors (357678289440).

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

149608790496 is a wasteful number, since it uses less digits than its factorization.

149608790496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89686 (or 89675 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 149608790496 in words is "one hundred forty-nine billion, six hundred eight million, seven hundred ninety thousand, four hundred ninety-six".