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66832149800 = 235213311276529
BaseRepresentation
bin111110001111100000…
…011010110100101000
320101111122110222100102
4332033200122310220
52043333012243200
650411404524532
74554106620533
oct761740326450
9211448428312
1066832149800
1126386008359
1210b51b50748
1363c1054490
14333ddd9a1a
151b124636d5
hexf8f81ad28

66832149800 has 192 divisors, whose sum is σ = 174122188800. Its totient is φ = 23688806400.

The previous prime is 66832149799. The next prime is 66832149841. The reversal of 66832149800 is 894123866.

66832149800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

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, 10232936 + ... + 10239464.

It is an arithmetic number, because the mean of its divisors is an integer number (906886400).

Almost surely, 266832149800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66832149800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87061094400).

66832149800 is an abundant number, since it is smaller than the sum of its proper divisors (107290039000).

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

66832149800 is a wasteful number, since it uses less digits than its factorization.

66832149800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 47.

The spelling of 66832149800 in words is "sixty-six billion, eight hundred thirty-two million, one hundred forty-nine thousand, eight hundred".