Search a number
-
+
15139745946 = 232131912726813
BaseRepresentation
bin11100001100110011…
…00011000010011010
31110002010002210002100
432012121203002122
5222001233332241
610542145144230
71044114501003
oct160631430232
943063083070
1015139745946
116469aa0236
122b2632b076
131573797870
14a38a001aa
155d921a9b6
hex38666309a

15139745946 has 96 divisors (see below), whose sum is σ = 37479536640. Its totient is φ = 4378292352.

The previous prime is 15139745941. The next prime is 15139745983. The reversal of 15139745946 is 64954793151.

15139745946 is a `hidden beast` number, since 1 + 513 + 9 + 74 + 59 + 4 + 6 = 666.

It is a super-3 number, since 3×151397459463 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15139745892 and 15139745901.

It is not an unprimeable number, because it can be changed into a prime (15139745941) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 551236 + ... + 578048.

It is an arithmetic number, because the mean of its divisors is an integer number (390411840).

Almost surely, 215139745946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15139745946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18739768320).

15139745946 is an abundant number, since it is smaller than the sum of its proper divisors (22339790694).

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

15139745946 is a wasteful number, since it uses less digits than its factorization.

15139745946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26980 (or 26977 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 15139745946 in words is "fifteen billion, one hundred thirty-nine million, seven hundred forty-five thousand, nine hundred forty-six".

Divisors: 1 2 3 6 9 13 18 19 26 38 39 57 78 114 117 127 171 234 247 254 342 381 494 741 762 1143 1482 1651 2223 2286 2413 3302 4446 4826 4953 7239 9906 14478 14859 21717 26813 29718 31369 43434 53626 62738 80439 94107 160878 188214 241317 282321 348569 482634 509447 564642 697138 1018894 1045707 1528341 2091414 3056682 3137121 3405251 4585023 6274242 6622811 6810502 9170046 10215753 13245622 19868433 20431506 30647259 39736866 44268263 59605299 61294518 64699769 88536526 119210598 129399538 132804789 194099307 265609578 388198614 398414367 582297921 796828734 841096997 1164595842 1682193994 2523290991 5046581982 7569872973 15139745946