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16706004480 = 2932511292273
BaseRepresentation
bin11111000111100000…
…10110011000000000
31121010021021221212200
433203300112120000
5233203214120410
611401415353200
71130663460264
oct174360263000
947107257780
1016706004480
1170a3116480
1232a2982800
131763118669
14b46a300a4
1567b9a23c0
hex3e3c16600

16706004480 has 480 divisors, whose sum is σ = 65322560160. Its totient is φ = 3908567040.

The previous prime is 16706004473. The next prime is 16706004493. The reversal of 16706004480 is 8440060761.

16706004480 is a `hidden beast` number, since 1 + 6 + 7 + 0 + 600 + 4 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7348624 + ... + 7350896.

It is an arithmetic number, because the mean of its divisors is an integer number (136088667).

Almost surely, 216706004480 is an apocalyptic number.

16706004480 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 16706004480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32661280080).

16706004480 is an abundant number, since it is smaller than the sum of its proper divisors (48616555680).

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

16706004480 is a wasteful number, since it uses less digits than its factorization.

16706004480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 16706004480 in words is "sixteen billion, seven hundred six million, four thousand, four hundred eighty".