Search a number
-
+
104859685632 = 2831312782699
BaseRepresentation
bin110000110101000011…
…1111101001100000000
3101000122211222221200110
41201222013331030000
53204223034420012
6120101042551320
710401343423122
oct1415207751400
9330584887613
10104859685632
114051a616919
12183a5368540
139b71580b80
14510a639212
152adabc673c
hex186a1fd300

104859685632 has 144 divisors (see below), whose sum is σ = 302917529600. Its totient is φ = 32010080256.

The previous prime is 104859685631. The next prime is 104859685673. The reversal of 104859685632 is 236586958401.

It is not an unprimeable number, because it can be changed into a prime (104859685631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1226619 + ... + 1309317.

Almost surely, 2104859685632 is an apocalyptic number.

104859685632 is a gapful number since it is divisible by the number (12) 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 104859685632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151458764800).

104859685632 is an abundant number, since it is smaller than the sum of its proper divisors (198057843968).

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

104859685632 is a wasteful number, since it uses less digits than its factorization.

104859685632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82858 (or 82844 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 104859685632 in words is "one hundred four billion, eight hundred fifty-nine million, six hundred eighty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 127 128 156 192 208 254 256 312 381 384 416 508 624 762 768 832 1016 1248 1524 1651 1664 2032 2496 3048 3302 3328 4064 4953 4992 6096 6604 8128 9906 9984 12192 13208 16256 19812 24384 26416 32512 39624 48768 52832 79248 82699 97536 105664 158496 165398 211328 248097 316992 330796 422656 496194 633984 661592 992388 1075087 1267968 1323184 1984776 2150174 2646368 3225261 3969552 4300348 5292736 6450522 7939104 8600696 10502773 10585472 12901044 15878208 17201392 21005546 21170944 25802088 31508319 31756416 34402784 42011092 51604176 63016638 63512832 68805568 84022184 103208352 126033276 136536049 137611136 168044368 206416704 252066552 273072098 275222272 336088736 409608147 412833408 504133104 546144196 672177472 819216294 825666816 1008266208 1092288392 1344354944 1638432588 2016532416 2184576784 2688709888 3276865176 4033064832 4369153568 6553730352 8066129664 8738307136 13107460704 17476614272 26214921408 34953228544 52429842816 104859685632