Search a number
-
+
38962090016 = 251799771837
BaseRepresentation
bin100100010010010100…
…100101000000100000
310201120100001020122222
4210102110211000200
51114243243340031
625522100450212
72546342205113
oct442224450040
9121510036588
1038962090016
11155840a19a3
1276743a9968
13389c030c45
141c587d257a
151030817e7b
hex912525020

38962090016 has 48 divisors (see below), whose sum is σ = 81301363416. Its totient is φ = 18316455936.

The previous prime is 38962089979. The next prime is 38962090109. The reversal of 38962090016 is 61009026983.

It can be written as a sum of positive squares in 4 ways, for example, as 38958864400 + 3225616 = 197380^2 + 1796^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506450 + ... + 578286.

Almost surely, 238962090016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38962090016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40650681708).

38962090016 is an abundant number, since it is smaller than the sum of its proper divisors (42339273400).

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

38962090016 is a wasteful number, since it uses less digits than its factorization.

38962090016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72861 (or 72853 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 44.

The spelling of 38962090016 in words is "thirty-eight billion, nine hundred sixty-two million, ninety thousand, sixteen".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 544 997 1994 3988 7976 15952 16949 31904 33898 67796 71837 135592 143674 271184 287348 542368 574696 1149392 1221229 2298784 2442458 4884916 9769832 19539664 39079328 71621489 143242978 286485956 572971912 1145943824 1217565313 2291887648 2435130626 4870261252 9740522504 19481045008 38962090016