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66246240664260 = 22325368034670357
BaseRepresentation
bin11110001000000001001111…
…01001000111101011000100
322200120002010102011212211200
433010000213221013223010
532140334300102224020
6352521034113302500
716645063412523066
oct1704004751075304
9280502112155750
1066246240664260
111a120966901168
12751ab6bb64a30
132ac6cbc19ca47
14125049994d736
1579d33b7bc590
hex3c4027a47ac4

66246240664260 has 36 divisors (see below), whose sum is σ = 200946930015468. Its totient is φ = 17665664177088.

The previous prime is 66246240664259. The next prime is 66246240664283. The reversal of 66246240664260 is 6246604264266.

66246240664260 is a `hidden beast` number, since 6 + 6 + 2 + 4 + 624 + 0 + 6 + 6 + 4 + 2 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10707855665796 + 55538384998464 = 3272286^2 + 7452408^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 66246240664197 and 66246240664206.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184017334999 + ... + 184017335358.

Almost surely, 266246240664260 is an apocalyptic number.

66246240664260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66246240664260 is an abundant number, since it is smaller than the sum of its proper divisors (134700689351208).

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

66246240664260 is a wasteful number, since it uses less digits than its factorization.

66246240664260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368034670372 (or 368034670367 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 54.

The spelling of 66246240664260 in words is "sixty-six trillion, two hundred forty-six billion, two hundred forty million, six hundred sixty-four thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 368034670357 736069340714 1104104011071 1472138681428 1840173351785 2208208022142 3312312033213 3680346703570 4416416044284 5520520055355 6624624066426 7360693407140 11041040110710 13249248132852 16561560166065 22082080221420 33123120332130 66246240664260