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104628624420 = 22353767210499
BaseRepresentation
bin110000101110001011…
…0100001110000100100
3101000001202012211021210
41201130112201300210
53203234411440140
6120022110311420
710362536430225
oct1413426416044
9330052184253
10104628624420
1140411149141
121833bab8570
139b3573c868
1450c7a8d24c
152ac5783d80
hex185c5a1c24

104628624420 has 144 divisors (see below), whose sum is σ = 305464824000. Its totient is φ = 26739161856.

The previous prime is 104628624413. The next prime is 104628624431. The reversal of 104628624420 is 24426826401.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9960331 + ... + 9970829.

It is an arithmetic number, because the mean of its divisors is an integer number (2121283500).

Almost surely, 2104628624420 is an apocalyptic number.

104628624420 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 104628624420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152732412000).

104628624420 is an abundant number, since it is smaller than the sum of its proper divisors (200836199580).

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

104628624420 is a wasteful number, since it uses less digits than its factorization.

104628624420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10682 (or 10613 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The spelling of 104628624420 in words is "one hundred four billion, six hundred twenty-eight million, six hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 67 74 111 134 148 185 201 222 268 335 370 402 444 555 670 740 804 1005 1110 1340 2010 2220 2479 4020 4489 4958 7437 8978 9916 10499 12395 13467 14874 17956 20998 22445 24790 26934 29748 31497 37185 41996 44890 49580 52495 53868 62994 67335 74370 89780 104990 125988 134670 148740 157485 166093 209980 269340 314970 332186 388463 498279 629940 664372 703433 776926 830465 996558 1165389 1406866 1553852 1660930 1942315 1993116 2110299 2330778 2491395 2813732 3321860 3517165 3884630 4220598 4661556 4982790 5826945 7034330 7769260 8441196 9965580 10551495 11653890 14068660 21102990 23307780 26027021 42205980 47130011 52054042 78081063 94260022 104108084 130135105 141390033 156162126 188520044 235650055 260270210 282780066 312324252 390405315 471300110 520540420 565560132 706950165 780810630 942600220 1413900330 1561621260 1743810407 2827800660 3487620814 5231431221 6975241628 8719052035 10462862442 17438104070 20925724884 26157156105 34876208140 52314312210 104628624420