Search a number
-
+
16474166086560 = 25357132329565451
BaseRepresentation
bin1110111110111011000011…
…0100010100101110100000
32011022220200221220201222020
43233232300310110232200
54124403043004232220
655012043304541440
73320135123162220
oct357566064245640
964286627821866
1016474166086560
115281722303386
121a20978a81880
13926679404670
1440d4d5122080
151d87e6a16040
hexefbb0d14ba0

16474166086560 has 768 divisors, whose sum is σ = 68944250511360. Its totient is φ = 3210091315200.

The previous prime is 16474166086529. The next prime is 16474166086579. The reversal of 16474166086560 is 6568066147461.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 16474166086494 and 16474166086503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28851835 + ... + 29417285.

It is an arithmetic number, because the mean of its divisors is an integer number (89771159520).

Almost surely, 216474166086560 is an apocalyptic number.

16474166086560 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 16474166086560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34472125255680).

16474166086560 is an abundant number, since it is smaller than the sum of its proper divisors (52470084424800).

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

16474166086560 is a wasteful number, since it uses less digits than its factorization.

16474166086560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565541 (or 565533 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 16474166086560 in words is "sixteen trillion, four hundred seventy-four billion, one hundred sixty-six million, eighty-six thousand, five hundred sixty".