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42952438767 = 373241379457
BaseRepresentation
bin101000000000001010…
…100011001111101111
311002212102120222002110
4220000022203033233
51200431311020032
631422043455103
73050254464000
oct500012431757
9132772528073
1042952438767
1117241593a87
1283a8827493
134086953754
1421167531a7
1511b5cd37cc
hexa002a33ef

42952438767 has 64 divisors (see below), whose sum is σ = 67388288000. Its totient is φ = 24324572160.

The previous prime is 42952438741. The next prime is 42952438813. The reversal of 42952438767 is 76783425924.

It is not a de Polignac number, because 42952438767 - 216 = 42952373231 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42952438267) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 93987603 + ... + 93988059.

It is an arithmetic number, because the mean of its divisors is an integer number (1052942000).

Almost surely, 242952438767 is an apocalyptic number.

42952438767 is a deficient number, since it is larger than the sum of its proper divisors (24435849233).

42952438767 is a wasteful number, since it uses less digits than its factorization.

42952438767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1087 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 57.

The spelling of 42952438767 in words is "forty-two billion, nine hundred fifty-two million, four hundred thirty-eight thousand, seven hundred sixty-seven".

Divisors: 1 3 7 21 49 147 241 343 379 457 723 1029 1137 1371 1687 2653 3199 5061 7959 9597 11809 18571 22393 35427 55713 67179 82663 91339 110137 129997 156751 173203 247989 274017 330411 389991 470253 519609 639373 770959 1212421 1918119 2312877 3637263 4475611 5396713 8486947 13426833 16190139 25460841 31329277 37776991 41741923 59408629 93987831 113330973 125225769 178225887 292193461 876580383 2045354227 6136062681 14317479589 42952438767