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42774563507 = 1367115142667
BaseRepresentation
bin100111110101100100…
…000000101010110011
311002102000212222002212
4213311210000222303
51200100242013012
631352251202335
73042664535144
oct476544005263
9132360788085
1042774563507
1117160142735
1283591463ab
134058b44a10
1420dac8dacb
1511a5399b22
hex9f5900ab3

42774563507 has 16 divisors (see below), whose sum is σ = 46794166272. Its totient is φ = 38860192800.

The previous prime is 42774563483. The next prime is 42774563519. The reversal of 42774563507 is 70536547724.

It is a de Polignac number, because none of the positive numbers 2k-42774563507 is a prime.

It is a super-2 number, since 2×427745635072 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42774563567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 981188 + ... + 1023854.

It is an arithmetic number, because the mean of its divisors is an integer number (2924635392).

Almost surely, 242774563507 is an apocalyptic number.

42774563507 is a deficient number, since it is larger than the sum of its proper divisors (4019602765).

42774563507 is a wasteful number, since it uses less digits than its factorization.

42774563507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43898.

The product of its (nonzero) digits is 4939200, while the sum is 50.

The spelling of 42774563507 in words is "forty-two billion, seven hundred seventy-four million, five hundred sixty-three thousand, five hundred seven".

Divisors: 1 13 67 871 1151 14963 42667 77117 554671 1002521 2858689 37162957 49109717 638426321 3290351039 42774563507