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42717102399 = 32291272235779
BaseRepresentation
bin100111110010001000…
…110100000100111111
311002021000202122021200
4213302020310010333
51144441034234044
631342435430543
73041366244066
oct476210640477
9132230678250
1042717102399
1117130766314
128341a55453
134049c7656a
1420d33b31dd
1511a02e9369
hex9f223413f

42717102399 has 48 divisors (see below), whose sum is σ = 64632422400. Its totient is φ = 27152532288.

The previous prime is 42717102361. The next prime is 42717102401. The reversal of 42717102399 is 99320171724.

42717102399 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42717102399 - 29 = 42717101887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42717102319) 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, 7388892 + ... + 7394670.

It is an arithmetic number, because the mean of its divisors is an integer number (1346508800).

Almost surely, 242717102399 is an apocalyptic number.

42717102399 is a deficient number, since it is larger than the sum of its proper divisors (21915320001).

42717102399 is a wasteful number, since it uses less digits than its factorization.

42717102399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6164 (or 6161 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 42717102399 in words is "forty-two billion, seven hundred seventeen million, one hundred two thousand, three hundred ninety-nine".

Divisors: 1 3 9 29 87 127 223 261 381 669 1143 2007 3683 5779 6467 11049 17337 19401 28321 33147 52011 58203 84963 167591 254889 502773 733933 821309 1288717 1508319 2201799 2463927 3866151 6605397 7391781 11598453 21284057 37372793 63852171 112118379 163667059 191556513 336355137 491001177 1473003531 4746344711 14239034133 42717102399