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149775848064 = 273429598443
BaseRepresentation
bin1000101101111101010…
…1100001001010000000
3112022121010200102020000
42023133111201022000
54423220104114224
6152450040120000
713551404463033
oct2133725411200
9468533612200
10149775848064
115857961a517
122503b766000
131117bcb9c8b
14736bac301a
153d690a40c9
hex22df561280

149775848064 has 320 divisors, whose sum is σ = 468971316000. Its totient is φ = 47381096448.

The previous prime is 149775848063. The next prime is 149775848081. The reversal of 149775848064 is 460848577941.

149775848064 is a `hidden beast` number, since 1 + 4 + 97 + 7 + 5 + 8 + 480 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 149775847992 and 149775848010.

It is not an unprimeable number, because it can be changed into a prime (149775848063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17735427 + ... + 17743869.

Almost surely, 2149775848064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149775848064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234485658000).

149775848064 is an abundant number, since it is smaller than the sum of its proper divisors (319195467936).

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

149775848064 is an equidigital number, since it uses as much as digits as its factorization.

149775848064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8557 (or 8536 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 149775848064 in words is "one hundred forty-nine billion, seven hundred seventy-five million, eight hundred forty-eight thousand, sixty-four".