Search a number
-
+
104644000912 = 24112399192707
BaseRepresentation
bin110000101110101000…
…1001011110010010000
3101000002211011000212111
41201131101023302100
53203302331012122
6120023420035104
710363114221523
oct1413521136220
9330084130774
10104644000912
11404198a0790
1218345092a94
139b38994689
1450c9b32bba
152ac6cbed77
hex185d44bc90

104644000912 has 80 divisors (see below), whose sum is σ = 222428620800. Its totient is φ = 47297416320.

The previous prime is 104644000907. The next prime is 104644000913. The reversal of 104644000912 is 219000446401.

It is not an unprimeable number, because it can be changed into a prime (104644000913) 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, 38655463 + ... + 38658169.

It is an arithmetic number, because the mean of its divisors is an integer number (2780357760).

Almost surely, 2104644000912 is an apocalyptic number.

104644000912 is the 161744-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104644000912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111214310400).

104644000912 is an abundant number, since it is smaller than the sum of its proper divisors (117784619888).

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

104644000912 is a wasteful number, since it uses less digits than its factorization.

104644000912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3884 (or 3878 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The spelling of 104644000912 in words is "one hundred four billion, six hundred forty-four million, nine hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 8 11 16 22 44 88 176 239 478 919 956 1838 1912 2629 2707 3676 3824 5258 5414 7352 10109 10516 10828 14704 20218 21032 21656 29777 40436 42064 43312 59554 80872 119108 161744 219641 238216 439282 476432 646973 878564 1293946 1757128 2416051 2487733 2587892 3514256 4832102 4975466 5175784 7116703 9664204 9950932 10351568 14233406 19328408 19901864 27365063 28466812 38656816 39803728 54730126 56933624 109460252 113867248 218920504 437841008 594568187 1189136374 2378272748 4756545496 6540250057 9513090992 13080500114 26161000228 52322000456 104644000912