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42129212916 = 2237717063919
BaseRepresentation
bin100111001111000110…
…001100010111110100
311000202001112202112010
4213033012030113310
51142240034303131
631204235124220
73021000254430
oct471706142764
9130661482463
1042129212916
111695992a23a
1281b8ba3670
133c8522b06b
14207929d9c0
1511688beb46
hex9cf18c5f4

42129212916 has 48 divisors (see below), whose sum is σ = 113926901760. Its totient is φ = 11867382240.

The previous prime is 42129212903. The next prime is 42129212921. The reversal of 42129212916 is 61921292124.

It is a super-2 number, since 2×421292129162 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3525996 + ... + 3537923.

It is an arithmetic number, because the mean of its divisors is an integer number (2373477120).

Almost surely, 242129212916 is an apocalyptic number.

It is an amenable number.

42129212916 is an abundant number, since it is smaller than the sum of its proper divisors (71797688844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42129212916 is a wasteful number, since it uses less digits than its factorization.

42129212916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7064004 (or 7064002 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The spelling of 42129212916 in words is "forty-two billion, one hundred twenty-nine million, two hundred twelve thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 71 84 142 213 284 426 497 852 994 1491 1988 2982 5964 7063919 14127838 21191757 28255676 42383514 49447433 84767028 98894866 148342299 197789732 296684598 501538249 593369196 1003076498 1504614747 2006152996 3009229494 3510767743 6018458988 7021535486 10532303229 14043070972 21064606458 42129212916