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42709924664127 = 3271674319418777
BaseRepresentation
bin10011011011000001011011…
…11000110101001100111111
312121020000210002021102202100
421231200231320311030333
521044224411203223002
6230500400222400143
711665455514451130
oct1155405570651477
9177200702242670
1042709924664127
11126771a5033606
124959577430053
131aaa6b4499a96
14a792583c1c87
154e0eb322d11c
hex26d82de3533f

42709924664127 has 48 divisors (see below), whose sum is σ = 71092032141312. Its totient is φ = 24203240311680.

The previous prime is 42709924664123. The next prime is 42709924664161. The reversal of 42709924664127 is 72146642990724.

42709924664127 is a `hidden beast` number, since 4 + 2 + 70 + 9 + 92 + 4 + 66 + 412 + 7 = 666.

It is not a de Polignac number, because 42709924664127 - 22 = 42709924664123 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42709924664123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 174838 + ... + 9243939.

It is an arithmetic number, because the mean of its divisors is an integer number (1481084002944).

Almost surely, 242709924664127 is an apocalyptic number.

42709924664127 is a deficient number, since it is larger than the sum of its proper divisors (28382107477185).

42709924664127 is a wasteful number, since it uses less digits than its factorization.

42709924664127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9419388 (or 9419385 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 42709924664127 in words is "forty-two trillion, seven hundred nine billion, nine hundred twenty-four million, six hundred sixty-four thousand, one hundred twenty-seven".

Divisors: 1 3 7 9 21 63 167 431 501 1169 1293 1503 3017 3507 3879 9051 10521 27153 71977 215931 503839 647793 1511517 4534551 9418777 28256331 65931439 84768993 197794317 593382951 1572935759 4059492887 4718807277 11010550313 12178478661 14156421831 28416450209 33031650939 36535435983 85249350627 99094952817 255748051881 677935312129 2033805936387 4745547184903 6101417809161 14236641554709 42709924664127