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55023644100 = 223524116992633
BaseRepresentation
bin110011001111101010…
…100010110111000100
312021000200200201210110
4303033222202313010
51400142023102400
641135535353020
73655352154315
oct631752426704
9167020621713
1055023644100
112137645a237
12a7b7382770
13525b7895b9
14293d9c860c
15167091be50
hexccfaa2dc4

55023644100 has 144 divisors (see below), whose sum is σ = 163242676800. Its totient is φ = 14301235200.

The previous prime is 55023644089. The next prime is 55023644183. The reversal of 55023644100 is 144632055.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20896384 + ... + 20899016.

It is an arithmetic number, because the mean of its divisors is an integer number (1133629700).

Almost surely, 255023644100 is an apocalyptic number.

55023644100 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 55023644100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81621338400).

55023644100 is an abundant number, since it is smaller than the sum of its proper divisors (108219032700).

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

55023644100 is a wasteful number, since it uses less digits than its factorization.

55023644100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4390 (or 4383 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 55023644100 in words is "fifty-five billion, twenty-three million, six hundred forty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 1699 2050 2460 2633 3075 3398 4100 5097 5266 6150 6796 7899 8495 10194 10532 12300 13165 15798 16990 20388 25485 26330 31596 33980 39495 42475 50970 52660 65825 69659 78990 84950 101940 107953 127425 131650 139318 157980 169900 197475 208977 215906 254850 263300 278636 323859 348295 394950 417954 431812 509700 539765 647718 696590 789900 835908 1044885 1079530 1295436 1393180 1619295 1741475 2089770 2159060 2698825 3238590 3482950 4179540 4473467 5224425 5397650 6477180 6965900 8096475 8946934 10448850 10795300 13420401 16192950 17893868 20897700 22367335 26840802 32385900 44734670 53681604 67102005 89469340 111836675 134204010 183412147 223673350 268408020 335510025 366824294 447346700 550236441 671020050 733648588 917060735 1100472882 1342040100 1834121470 2200945764 2751182205 3668242940 4585303675 5502364410 9170607350 11004728820 13755911025 18341214700 27511822050 55023644100