Search a number
-
+
139789125648 = 24331756333809
BaseRepresentation
bin1000001000110000010…
…1001100100000010000
3111100211010220100112000
42002030011030200100
54242242004010043
6144115050034000
713046050651164
oct2021405144020
9440733810460
10139789125648
1154314354117
1223113118900
1310249c9b183
146aa1618ca4
15398246a2d3
hex208c14c810

139789125648 has 160 divisors (see below), whose sum is σ = 425616508800. Its totient is φ = 43776221184.

The previous prime is 139789125647. The next prime is 139789125659. The reversal of 139789125648 is 846521987931.

139789125648 is a `hidden beast` number, since 1 + 397 + 89 + 125 + 6 + 48 = 666.

It is not an unprimeable number, because it can be changed into a prime (139789125647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4117768 + ... + 4151576.

It is an arithmetic number, because the mean of its divisors is an integer number (2660103180).

Almost surely, 2139789125648 is an apocalyptic number.

139789125648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139789125648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212808254400).

139789125648 is an abundant number, since it is smaller than the sum of its proper divisors (285827383152).

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

139789125648 is a wasteful number, since it uses less digits than its factorization.

139789125648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34406 (or 34394 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 63.

The spelling of 139789125648 in words is "one hundred thirty-nine billion, seven hundred eighty-nine million, one hundred twenty-five thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 563 612 816 918 1126 1224 1689 1836 2252 2448 3378 3672 4504 5067 6756 7344 9008 9571 10134 13512 15201 19142 20268 27024 28713 30402 33809 38284 40536 57426 60804 67618 76568 81072 86139 101427 114852 121608 135236 153136 172278 202854 229704 243216 258417 270472 304281 344556 405708 459408 516834 540944 574753 608562 689112 811416 912843 1033668 1149506 1217124 1378224 1622832 1724259 1825686 2067336 2299012 2434248 3448518 3651372 4134672 4598024 4868496 5172777 6897036 7302744 9196048 10345554 13794072 14605488 15518331 19034467 20691108 27588144 31036662 38068934 41382216 57103401 62073324 76137868 82764432 114206802 124146648 152275736 171310203 228413604 248293296 304551472 323585939 342620406 456827208 513930609 647171878 685240812 913654416 970757817 1027861218 1294343756 1370481624 1941515634 2055722436 2588687512 2740963248 2912273451 3883031268 4111444872 5177375024 5824546902 7766062536 8222889744 8736820353 11649093804 15532125072 17473640706 23298187608 34947281412 46596375216 69894562824 139789125648