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149069168640 = 21633572983
BaseRepresentation
bin1000101011010100110…
…1110000000000000000
3112020202212221101022000
42022311031300000000
54420243201344030
6152251553344000
713525034012130
oct2126515600000
9466685841260
10149069168640
1158246728837
1224a82b68000
131109877c582
147301ccaac0
153d27012860
hex22b5370000

149069168640 has 1088 divisors, whose sum is σ = 634173926400. Its totient is φ = 32501661696.

The previous prime is 149069168609. The next prime is 149069168681. The reversal of 149069168640 is 46861960941.

It is a happy number.

149069168640 is a `hidden beast` number, since 1 + 490 + 6 + 91 + 6 + 8 + 64 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1796014039 + ... + 1796014121.

Almost surely, 2149069168640 is an apocalyptic number.

149069168640 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 149069168640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317086963200).

149069168640 is an abundant number, since it is smaller than the sum of its proper divisors (485104757760).

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

149069168640 is an frugal number, since it uses more digits than its factorization.

149069168640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 149069168640 in words is "one hundred forty-nine billion, sixty-nine million, one hundred sixty-eight thousand, six hundred forty".