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57742037717 = 72132317892203
BaseRepresentation
bin110101110001101100…
…011001001011010101
312112001010211102210112
4311301230121023111
51421223430201332
642305404132405
74112621136200
oct656154311325
9175033742715
1057742037717
1122540969631
12b235837105
1355a2a13230
142b1aa48937
15177e3d6db2
hexd71b192d5

57742037717 has 48 divisors (see below), whose sum is σ = 75557704320. Its totient is φ = 43655407488.

The previous prime is 57742037707. The next prime is 57742037747. The reversal of 57742037717 is 71773024775.

It is not a de Polignac number, because 57742037717 - 26 = 57742037653 is a prime.

It is a super-2 number, since 2×577420377172 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57742037707) 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 47 ways as a sum of consecutive naturals, for example, 26209538 + ... + 26211740.

It is an arithmetic number, because the mean of its divisors is an integer number (1574118840).

Almost surely, 257742037717 is an apocalyptic number.

It is an amenable number.

57742037717 is a deficient number, since it is larger than the sum of its proper divisors (17815666603).

57742037717 is a wasteful number, since it uses less digits than its factorization.

57742037717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4042 (or 4035 counting only the distinct ones).

The product of its (nonzero) digits is 2016840, while the sum is 50.

The spelling of 57742037717 in words is "fifty-seven billion, seven hundred forty-two million, thirty-seven thousand, seven hundred seventeen".

Divisors: 1 7 13 23 49 91 161 299 637 1127 1789 2093 2203 12523 14651 15421 23257 28639 41147 50669 87661 107947 162799 200473 288029 354683 534911 658697 1139593 1403311 2016203 2482781 3744377 3941167 4610879 26210639 27588169 32276153 51235171 90646841 193117183 358646197 634527887 1178408933 2510523379 4441695209 8248862531 57742037717