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16926135408 = 243371317193143
BaseRepresentation
bin11111100001110000…
…00101010001110000
31121200121111202202000
433300320011101300
5234131042313113
611435321454000
71136305530360
oct176070052160
947617452660
1016926135408
1171a63a9066
123344641300
131799900850
14b67d729a0
15690e86373
hex3f0e05470

16926135408 has 1280 divisors, whose sum is σ = 70395494400. Its totient is φ = 3762339840.

The previous prime is 16926135379. The next prime is 16926135419. The reversal of 16926135408 is 80453162961.

16926135408 is a `hidden beast` number, since 1 + 6 + 92 + 6 + 13 + 540 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 393631035 + ... + 393631077.

It is an arithmetic number, because the mean of its divisors is an integer number (54996480).

Almost surely, 216926135408 is an apocalyptic number.

16926135408 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 16926135408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35197747200).

16926135408 is an abundant number, since it is smaller than the sum of its proper divisors (53469358992).

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

16926135408 is a wasteful number, since it uses less digits than its factorization.

16926135408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 16926135408 in words is "sixteen billion, nine hundred twenty-six million, one hundred thirty-five thousand, four hundred eight".