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16477404048 = 2433721953773
BaseRepresentation
bin11110101100010000…
…10011101110010000
31120112100010212001000
433112020103232100
5232221203412143
611323011542000
71122216423600
oct172610235620
946470125030
1016477404048
116a960795a6
12323a2ba900
131727959431
14b24524c00
15666898bd3
hex3d6213b90

16477404048 has 480 divisors, whose sum is σ = 59082825600. Its totient is φ = 4370236416.

The previous prime is 16477404043. The next prime is 16477404107. The reversal of 16477404048 is 84040477461.

It is a happy number.

It is a super-2 number, since 2×164774040482 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16477403994 and 16477404012.

It is not an unprimeable number, because it can be changed into a prime (16477404043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21315790 + ... + 21316562.

It is an arithmetic number, because the mean of its divisors is an integer number (123089220).

Almost surely, 216477404048 is an apocalyptic number.

16477404048 is a gapful number since it is divisible by the number (18) 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 16477404048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29541412800).

16477404048 is an abundant number, since it is smaller than the sum of its proper divisors (42605421552).

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

16477404048 is a wasteful number, since it uses less digits than its factorization.

16477404048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 602112, while the sum is 45.

The spelling of 16477404048 in words is "sixteen billion, four hundred seventy-seven million, four hundred four thousand, forty-eight".