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104564564720 = 245711101168067
BaseRepresentation
bin110000101100010001…
…0001010001011110000
3100222220021200020220022
41201120202022023300
53203122012032340
6120011501303012
710361131064240
oct1413042121360
9328807606808
10104564564720
1140388a75140
1218322564a68
139b253a0b05
1450bd375b20
152abed2d3b5
hex185888a2f0

104564564720 has 160 divisors (see below), whose sum is σ = 306104265216. Its totient is φ = 32268672000.

The previous prime is 104564564719. The next prime is 104564564749. The reversal of 104564564720 is 27465465401.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 538127 + ... + 706193.

Almost surely, 2104564564720 is an apocalyptic number.

104564564720 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 104564564720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153052132608).

104564564720 is an abundant number, since it is smaller than the sum of its proper divisors (201539700496).

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

104564564720 is a wasteful number, since it uses less digits than its factorization.

104564564720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168199 (or 168193 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 44.

The spelling of 104564564720 in words is "one hundred four billion, five hundred sixty-four million, five hundred sixty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 101 110 112 140 154 176 202 220 280 308 385 404 440 505 560 616 707 770 808 880 1010 1111 1232 1414 1540 1616 2020 2222 2828 3080 3535 4040 4444 5555 5656 6160 7070 7777 8080 8888 11110 11312 14140 15554 17776 22220 28280 31108 38885 44440 56560 62216 77770 88880 124432 155540 168067 311080 336134 622160 672268 840335 1176469 1344536 1680670 1848737 2352938 2689072 3361340 3697474 4705876 5882345 6722680 7394948 9243685 9411752 11764690 12941159 13445360 14789896 16974767 18487370 18823504 23529380 25882318 29579792 33949534 36974740 47058760 51764636 64705795 67899068 73949480 84873835 94117520 103529272 118823369 129411590 135798136 147898960 169747670 186722437 207058544 237646738 258823180 271596272 339495340 373444874 475293476 517646360 594116845 678990680 746889748 933612185 950586952 1035292720 1188233690 1307057059 1357981360 1493779496 1867224370 1901173904 2376467380 2614114118 2987558992 3734448740 4752934760 5228228236 6535285295 7468897480 9505869520 10456456472 13070570590 14937794960 20912912944 26141141180 52282282360 104564564720