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149076910080 = 21334573131
BaseRepresentation
bin1000101011010110101…
…1010010000000000000
3112020210102111200120000
42022311223102000000
54420302142110310
6152252431320000
713525156554000
oct2126553220000
9466712450500
10149076910080
115825003601a
1224a85680000
131109a2600c7
147302d44000
153d27a414c0
hex22b5ad2000

149076910080 has 1120 divisors, whose sum is σ = 628006262400. Its totient is φ = 33814609920.

The previous prime is 149076910079. The next prime is 149076910109. The reversal of 149076910080 is 80019670941.

It is a happy number.

149076910080 is a `hidden beast` number, since 1 + 490 + 76 + 9 + 10 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1137991615 + ... + 1137991745.

Almost surely, 2149076910080 is an apocalyptic number.

149076910080 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 149076910080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314003131200).

149076910080 is an abundant number, since it is smaller than the sum of its proper divisors (478929352320).

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

149076910080 is an frugal number, since it uses more digits than its factorization.

149076910080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 149076910080 in words is "one hundred forty-nine billion, seventy-six million, nine hundred ten thousand, eighty".