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55598505100 = 225217374121559
BaseRepresentation
bin110011110001111011…
…011101110010001100
312022111202101200211121
4303301323131302030
51402331204130400
641312552530324
74005532332025
oct636173356214
9168452350747
1055598505100
11216409a7876
12a9379b09a4
1353208c2938
1429960a9c4c
1516a612121a
hexcf1eddc8c

55598505100 has 144 divisors (see below), whose sum is σ = 134404522560. Its totient is φ = 19867852800.

The previous prime is 55598505073. The next prime is 55598505119. The reversal of 55598505100 is 150589555.

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, 2568121 + ... + 2589679.

It is an arithmetic number, because the mean of its divisors is an integer number (933364740).

Almost surely, 255598505100 is an apocalyptic number.

55598505100 is a gapful number since it is divisible by the number (50) 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 55598505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67202261280).

55598505100 is an abundant number, since it is smaller than the sum of its proper divisors (78806017460).

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

55598505100 is a wasteful number, since it uses less digits than its factorization.

55598505100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21668 (or 21661 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 43.

The spelling of 55598505100 in words is "fifty-five billion, five hundred ninety-eight million, five hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 41 50 68 74 82 85 100 148 164 170 185 205 340 370 410 425 629 697 740 820 850 925 1025 1258 1394 1517 1700 1850 2050 2516 2788 3034 3145 3485 3700 4100 6068 6290 6970 7585 12580 13940 15170 15725 17425 21559 25789 30340 31450 34850 37925 43118 51578 62900 69700 75850 86236 103156 107795 128945 151700 215590 257890 366503 431180 515780 538975 644725 733006 797683 883919 1077950 1289450 1466012 1595366 1767838 1832515 2155900 2578900 3190732 3535676 3665030 3988415 4419595 7330060 7976830 8839190 9162575 13560611 15026623 15953660 17678380 18325150 19942075 22097975 27121222 30053246 32705003 36650300 39884150 44195950 54242444 60106492 65410006 67803055 75133115 79768300 88391900 130820012 135606110 150266230 163525015 271212220 300532460 327050030 339015275 375665575 555985051 654100060 678030550 751331150 817625075 1111970102 1356061100 1502662300 1635250150 2223940204 2779925255 3270500300 5559850510 11119701020 13899626275 27799252550 55598505100