Search a number
-
+
104907702284 = 22721124794117
BaseRepresentation
bin110000110110011111…
…1001000000000001100
3101000210012100110010222
41201230333020000030
53204322332433114
6120105520050512
710402465520300
oct1415477100014
9330705313128
10104907702284
1140544732500
12183b9463a38
139b7b4c35a8
145112b77d00
152ae000d98e
hex186cfc800c

104907702284 has 108 divisors (see below), whose sum is σ = 239738875488. Its totient is φ = 40003064640.

The previous prime is 104907702283. The next prime is 104907702313. The reversal of 104907702284 is 482207709401.

It is a super-2 number, since 2×1049077022842 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (104907702283) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1067594 + ... + 1161710.

Almost surely, 2104907702284 is an apocalyptic number.

104907702284 is a gapful number since it is divisible by the number (14) 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 104907702284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119869437744).

104907702284 is an abundant number, since it is smaller than the sum of its proper divisors (134831173204).

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

104907702284 is a wasteful number, since it uses less digits than its factorization.

104907702284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94204 (or 94184 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 44.

The spelling of 104907702284 in words is "one hundred four billion, nine hundred seven million, seven hundred two thousand, two hundred eighty-four".

Divisors: 1 2 4 7 11 14 22 28 44 47 49 77 94 98 121 154 188 196 242 308 329 484 517 539 658 847 1034 1078 1316 1694 2068 2156 2303 3388 3619 4606 5687 5929 7238 9212 11374 11858 14476 22748 23716 25333 39809 50666 79618 94117 101332 159236 188234 278663 376468 557326 658819 1035287 1114652 1317638 2070574 2635276 4141148 4423499 4611733 7247009 8846998 9223466 11388157 14494018 17693996 18446932 22776314 28988036 30964493 45552628 48658489 50729063 61928986 79717099 97316978 101458126 123857972 159434198 194633956 202916252 216751451 318868396 340609423 433502902 535243379 558019693 681218846 867005804 1070486758 1116039386 1362437692 2140973516 2232078772 2384265961 3746703653 4768531922 7493407306 9537063844 14986814612 26226925571 52453851142 104907702284