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16340050944 = 2103675359
BaseRepresentation
bin11110011011111000…
…10110010000000000
31120011202200121000000
433031330112100000
5231431023112234
611301224000000
71115631066330
oct171574262000
946152617000
1016340050944
116a25595138
123200300000
131705367ac9
14b101ad0c0
156597b6899
hex3cdf16400

16340050944 has 616 divisors, whose sum is σ = 57992656320. Its totient is φ = 4502863872.

The previous prime is 16340050943. The next prime is 16340050949. The reversal of 16340050944 is 44905004361.

16340050944 is a `hidden beast` number, since 163 + 400 + 5 + 0 + 94 + 4 = 666.

It is a super-2 number, since 2×163400509442 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16340050899 and 16340050908.

It is not an unprimeable number, because it can be changed into a prime (16340050943) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 276949987 + ... + 276950045.

Almost surely, 216340050944 is an apocalyptic number.

16340050944 is a gapful number since it is divisible by the number (14) 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 16340050944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28996328160).

16340050944 is an abundant number, since it is smaller than the sum of its proper divisors (41652605376).

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

16340050944 is an frugal number, since it uses more digits than its factorization.

16340050944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 16340050944 in words is "sixteen billion, three hundred forty million, fifty thousand, nine hundred forty-four".