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66100506093 = 3279103190173
BaseRepresentation
bin111101100011111001…
…011010110111101101
320022121122202121212100
4331203321122313231
52040333212143333
650211031125313
74530014013516
oct754371326755
9208548677770
1066100506093
1126040015636
1210988b13839
1363055b5bcb
1432b0b85a0d
151abd0e0213
hexf63e5aded

66100506093 has 24 divisors (see below), whose sum is σ = 96781950720. Its totient is φ = 43466510880.

The previous prime is 66100506091. The next prime is 66100506137. The reversal of 66100506093 is 39060500166.

66100506093 is a `hidden beast` number, since 6 + 61 + 0 + 0 + 506 + 0 + 93 = 666.

It is not a de Polignac number, because 66100506093 - 21 = 66100506091 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66100506091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 687955 + ... + 778127.

It is an arithmetic number, because the mean of its divisors is an integer number (4032581280).

Almost surely, 266100506093 is an apocalyptic number.

It is an amenable number.

66100506093 is a deficient number, since it is larger than the sum of its proper divisors (30681444627).

66100506093 is a wasteful number, since it uses less digits than its factorization.

66100506093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91289 (or 91286 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 66100506093 in words is "sixty-six billion, one hundred million, five hundred six thousand, ninety-three".

Divisors: 1 3 9 79 237 711 1031 3093 9279 81449 90173 244347 270519 733041 811557 7123667 21371001 64113003 92968363 278905089 836715267 7344500677 22033502031 66100506093