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42687971703 = 33131712295821
BaseRepresentation
bin100111110000011001…
…101100000101110111
311002011222221122111000
4213300121230011313
51144411110043303
631335515214343
73040563525666
oct476031540567
9132158848430
1042687971703
1117116279a63
1283341473b3
134043c17170
1420cd58cddd
15119c992da3
hex9f066c177

42687971703 has 64 divisors (see below), whose sum is σ = 72183484800. Its totient is φ = 24699893760.

The previous prime is 42687971671. The next prime is 42687971743. The reversal of 42687971703 is 30717978624.

42687971703 is a `hidden beast` number, since 426 + 87 + 9 + 71 + 70 + 3 = 666.

It is not a de Polignac number, because 42687971703 - 25 = 42687971671 is a prime.

It is a super-3 number, since 3×426879717033 (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 42687971703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42687971743) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 7330533 + ... + 7336353.

It is an arithmetic number, because the mean of its divisors is an integer number (1127866950).

Almost surely, 242687971703 is an apocalyptic number.

42687971703 is a deficient number, since it is larger than the sum of its proper divisors (29495513097).

42687971703 is a wasteful number, since it uses less digits than its factorization.

42687971703 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7089 (or 7083 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 42687971703 in words is "forty-two billion, six hundred eighty-seven million, nine hundred seventy-one thousand, seven hundred three".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 1229 1989 3687 5821 5967 11061 15977 17463 20893 33183 47931 52389 62679 75673 98957 143793 157167 188037 227019 271609 296871 431379 564111 681057 814827 890613 1286441 2043171 2444481 2671839 3859323 7154009 7333443 11577969 21462027 34733907 64386081 93002117 121618153 193158243 279006351 364854459 837019053 1094563377 1581035989 2511057159 3283690131 4743107967 14229323901 42687971703