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149194664640 = 263457839907
BaseRepresentation
bin1000101011110010110…
…0011110101011000000
3112021002122002020110000
42022330230132223000
54421022313232030
6152312235240000
713531116503520
oct2127454365300
9467078066400
10149194664640
115830055383a
1224ab8ba9000
13110b877bc68
147314837680
153d33051860
hex22bcb1eac0

149194664640 has 560 divisors, whose sum is σ = 613897143552. Its totient is φ = 33687373824.

The previous prime is 149194664639. The next prime is 149194664657. The reversal of 149194664640 is 46466491941.

149194664640 is a `hidden beast` number, since 1 + 4 + 91 + 94 + 6 + 6 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15054567 + ... + 15064473.

Almost surely, 2149194664640 is an apocalyptic number.

149194664640 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 149194664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306948571776).

149194664640 is an abundant number, since it is smaller than the sum of its proper divisors (464702478912).

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

149194664640 is an equidigital number, since it uses as much as digits as its factorization.

149194664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10026 (or 10007 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 149194664640 in words is "one hundred forty-nine billion, one hundred ninety-four million, six hundred sixty-four thousand, six hundred forty".