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55585653120 = 273259650287
BaseRepresentation
bin110011110001001010…
…011100000110000000
312022110212012202020100
4303301022130012000
51402314411344440
641311413242400
74005315153504
oct636112340600
9168425182210
1055585653120
11216347199a8
12a933633400
13531b042c0a
1429944c2304
1516a4e33230
hexcf129c180

55585653120 has 96 divisors (see below), whose sum is σ = 191944228320. Its totient is φ = 14822839296.

The previous prime is 55585653047. The next prime is 55585653127. The reversal of 55585653120 is 2135658555.

It is a happy number.

55585653120 is a `hidden beast` number, since 5 + 5 + 58 + 565 + 31 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55585653127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4819384 + ... + 4830903.

It is an arithmetic number, because the mean of its divisors is an integer number (1999419045).

Almost surely, 255585653120 is an apocalyptic number.

It is an amenable number.

55585653120 is an abundant number, since it is smaller than the sum of its proper divisors (136358575200).

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

55585653120 is a wasteful number, since it uses less digits than its factorization.

55585653120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9650312 (or 9650297 counting only the distinct ones).

The product of its (nonzero) digits is 900000, while the sum is 45.

The spelling of 55585653120 in words is "fifty-five billion, five hundred eighty-five million, six hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 9650287 19300574 28950861 38601148 48251435 57901722 77202296 86852583 96502870 115803444 144754305 154404592 173705166 193005740 231606888 289508610 308809184 347410332 386011480 434262915 463213776 579017220 617618368 694820664 772022960 868525830 926427552 1158034440 1235236736 1389641328 1544045920 1737051660 1852855104 2316068880 2779282656 3088091840 3474103320 3705710208 4632137760 5558565312 6176183680 6948206640 9264275520 11117130624 13896413280 18528551040 27792826560 55585653120