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104585238160 = 24513318533803
BaseRepresentation
bin110000101100111000…
…1000001011010010000
3100222221201120120112021
41201121301001122100
53203142310110120
6120013520341224
710361501566534
oct1413161013220
9328851516467
10104585238160
1140399705427
1218329474814
139b2975b910
1450c1dd7bc4
152ac1a63aaa
hex1859c41690

104585238160 has 160 divisors (see below), whose sum is σ = 270700674048. Its totient is φ = 37316782080.

The previous prime is 104585238157. The next prime is 104585238169. The reversal of 104585238160 is 61832585401.

It is not an unprimeable number, because it can be changed into a prime (104585238169) 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, 27498819 + ... + 27502621.

Almost surely, 2104585238160 is an apocalyptic number.

104585238160 is a gapful number since it is divisible by the number (10) 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 104585238160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135350337024).

104585238160 is an abundant number, since it is smaller than the sum of its proper divisors (166115435888).

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

104585238160 is a wasteful number, since it uses less digits than its factorization.

104585238160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4713 (or 4707 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The spelling of 104585238160 in words is "one hundred four billion, five hundred eighty-five million, two hundred thirty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 31 40 52 62 65 80 104 124 130 155 208 248 260 310 403 496 520 620 806 853 1040 1240 1612 1706 2015 2480 3224 3412 3803 4030 4265 6448 6824 7606 8060 8530 11089 13648 15212 16120 17060 19015 22178 26443 30424 32240 34120 38030 44356 49439 52886 55445 60848 68240 76060 88712 98878 105772 110890 117893 132215 152120 177424 197756 211544 221780 235786 247195 264430 304240 343759 395512 423088 443560 471572 494390 528860 589465 687518 791024 887120 943144 988780 1057720 1178930 1375036 1532609 1718795 1886288 1977560 2115440 2357860 2750072 3065218 3243959 3437590 3955120 4715720 5500144 6130436 6487918 6875180 7663045 9431440 12260872 12975836 13750360 15326090 16219795 24521744 25951672 27500720 30652180 32439590 42171467 51903344 61304360 64879180 84342934 100562729 122608720 129758360 168685868 201125458 210857335 259516720 337371736 402250916 421714670 502813645 674743472 804501832 843429340 1005627290 1307315477 1609003664 1686858680 2011254580 2614630954 3373717360 4022509160 5229261908 6536577385 8045018320 10458523816 13073154770 20917047632 26146309540 52292619080 104585238160