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38678630657437 = 1959611676775003
BaseRepresentation
bin10001100101101100100100…
…00010100110110110011101
312001221122022021101110222101
420302312102002212312131
520032202313422014222
6214132415001245101
711101303344666631
oct1062662202466635
9161848267343871
1038678630657437
11113625737245a1
124408217193791
1318774c11bc234
1497a0acc36dc1
154711bec3e927
hex232d920a6d9d

38678630657437 has 64 divisors (see below), whose sum is σ = 42406185830400. Its totient is φ = 35160109620480.

The previous prime is 38678630657383. The next prime is 38678630657467. The reversal of 38678630657437 is 73475603687683.

It is not a de Polignac number, because 38678630657437 - 235 = 38644270919069 is a prime.

It is a Smith number, since the sum of its digits (73) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 38678630657437.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38678630657467) 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, 7731084978 + ... + 7731089980.

It is an arithmetic number, because the mean of its divisors is an integer number (662596653600).

Almost surely, 238678630657437 is an apocalyptic number.

It is an amenable number.

38678630657437 is a deficient number, since it is larger than the sum of its proper divisors (3727555172963).

38678630657437 is a wasteful number, since it uses less digits than its factorization.

38678630657437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5986.

The product of its (nonzero) digits is 2560481280, while the sum is 73.

The spelling of 38678630657437 in words is "thirty-eight trillion, six hundred seventy-eight billion, six hundred thirty million, six hundred fifty-seven thousand, four hundred thirty-seven".

Divisors: 1 19 59 61 167 677 1121 1159 3173 3599 5003 9853 10187 12863 39943 41297 68381 95057 113059 187207 193553 295177 305183 601033 758917 784643 835501 2148121 2436523 3387031 5608363 5798477 6670481 6896599 11419627 15874519 18005797 46293937 49294559 50965561 64353589 126739139 131035381 199834829 206608891 342110143 406899341 565634177 936596621 968345659 3006968099 3796861751 3925568929 7731087479 10747049363 12189924569 33372416443 34503684797 57132393881 231608566811 634075912417 655570011143 2035717403023 38678630657437