Search a number
-
+
138294160608 = 25317194459951
BaseRepresentation
bin1000000011001011111…
…0010110110011100000
3111012221221212021000110
42000302332112303200
54231211301114413
6143310443451320
712664025653422
oct2006276266340
9435857767013
10138294160608
11537174a281a
1222976526b40
131006c34c886
14699cc66812
1538e60b78c3
hex2032f96ce0

138294160608 has 96 divisors (see below), whose sum is σ = 404606845440. Its totient is φ = 41102899200.

The previous prime is 138294160601. The next prime is 138294160619. The reversal of 138294160608 is 806061492831.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138294160601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2198968 + ... + 2260983.

It is an arithmetic number, because the mean of its divisors is an integer number (4214654640).

Almost surely, 2138294160608 is an apocalyptic number.

It is an amenable number.

138294160608 is an abundant number, since it is smaller than the sum of its proper divisors (266312684832).

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

138294160608 is a wasteful number, since it uses less digits than its factorization.

138294160608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4460000 (or 4459992 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The spelling of 138294160608 in words is "one hundred thirty-eight billion, two hundred ninety-four million, one hundred sixty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1824 1938 2584 3876 5168 7752 10336 15504 31008 4459951 8919902 13379853 17839804 26759706 35679608 53519412 71359216 75819167 84739069 107038824 142718432 151638334 169478138 214077648 227457501 254217207 303276668 338956276 428155296 454915002 508434414 606553336 677912552 909830004 1016868828 1213106672 1355825104 1440564173 1819660008 2033737656 2426213344 2711650208 2881128346 3639320016 4067475312 4321692519 5762256692 7278640032 8134950624 8643385038 11524513384 17286770076 23049026768 34573540152 46098053536 69147080304 138294160608