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55519864020 = 2234542418081
BaseRepresentation
bin110011101101001111…
…011110010011010100
312022022021102022120000
4303231033132103110
51402201041122040
641301103211300
74003556025525
oct635517362324
9168267368500
1055519864020
1121600574645
12a9155a6b30
13530a519c5a
14298987884c
15169e28a130
hexced3de4d4

55519864020 has 120 divisors (see below), whose sum is σ = 174230495208. Its totient is φ = 14799974400.

The previous prime is 55519864019. The next prime is 55519864039. The reversal of 55519864020 is 2046891555.

55519864020 is a `hidden beast` number, since 5 + 55 + 198 + 6 + 402 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16273084356 + 39246779664 = 127566^2 + 198108^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6866380 + ... + 6874460.

Almost surely, 255519864020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55519864020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87115247604).

55519864020 is an abundant number, since it is smaller than the sum of its proper divisors (118710631188).

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

55519864020 is a wasteful number, since it uses less digits than its factorization.

55519864020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12343 (or 12332 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 55519864020 in words is "fifty-five billion, five hundred nineteen million, eight hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 4241 8081 8482 12723 16162 16964 21205 24243 25446 32324 38169 40405 42410 48486 50892 63615 72729 76338 80810 84820 96972 114507 121215 127230 145458 152676 161620 190845 218187 229014 242430 254460 290916 343521 363645 381690 436374 458028 484860 572535 654561 687042 727290 763380 872748 1090935 1145070 1309122 1374084 1454580 1717605 2181870 2290140 2618244 3272805 3435210 4363740 6545610 6870420 13091220 34271521 68543042 102814563 137086084 171357605 205629126 308443689 342715210 411258252 514072815 616887378 685430420 925331067 1028145630 1233774756 1542218445 1850662134 2056291260 2775993201 3084436890 3701324268 4626655335 5551986402 6168873780 9253310670 11103972804 13879966005 18506621340 27759932010 55519864020