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32664514461414 = 23111729112757987
BaseRepresentation
bin1110110110101010011001…
…10001111111111011100110
311021122200211011201212112020
413123111030301333323212
513240133411200231124
6153245512031204010
76610635055541133
oct733251461777346
9137580734655466
1032664514461414
11a453a40940140
1237b6727976606
13152c334458c34
1480cd8436558a
153b9a2b870379
hex1db54cc7fee6

32664514461414 has 32 divisors (see below), whose sum is σ = 75460268704896. Its totient is φ = 9316082555520.

The previous prime is 32664514461349. The next prime is 32664514461419. The reversal of 32664514461414 is 41416441546623.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32664514461419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14556377872 + ... + 14556380115.

It is an arithmetic number, because the mean of its divisors is an integer number (2358133397028).

Almost surely, 232664514461414 is an apocalyptic number.

32664514461414 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

32664514461414 is an abundant number, since it is smaller than the sum of its proper divisors (42795754243482).

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

32664514461414 is a wasteful number, since it uses less digits than its factorization.

32664514461414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29112758020.

The product of its digits is 6635520, while the sum is 51.

The spelling of 32664514461414 in words is "thirty-two trillion, six hundred sixty-four billion, five hundred fourteen million, four hundred sixty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 374 561 1122 29112757987 58225515974 87338273961 174676547922 320240337857 494916885779 640480675714 960721013571 989833771558 1484750657337 1921442027142 2969501314674 5444085743569 10888171487138 16332257230707 32664514461414