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16706672640 = 2113257192947
BaseRepresentation
bin11111000111100101…
…11001100000000000
31121010022112220102100
433203302321200000
5233203402011030
611401441550400
71131002242260
oct174362714000
947108486370
1016706672640
1170a3532479
1232a3045400
1317632c0818
14b46b657a0
1567ba85360
hex3e3cb9800

16706672640 has 1152 divisors, whose sum is σ = 73592064000. Its totient is φ = 3418619904.

The previous prime is 16706672627. The next prime is 16706672707. The reversal of 16706672640 is 4627660761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×167066726402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 355461097 + ... + 355461143.

It is an arithmetic number, because the mean of its divisors is an integer number (63882000).

Almost surely, 216706672640 is an apocalyptic number.

16706672640 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 16706672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36796032000).

16706672640 is an abundant number, since it is smaller than the sum of its proper divisors (56885391360).

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

16706672640 is a wasteful number, since it uses less digits than its factorization.

16706672640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 16706672640 in words is "sixteen billion, seven hundred six million, six hundred seventy-two thousand, six hundred forty".