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55655165600 = 2552304122877
BaseRepresentation
bin110011110101010011…
…100110111010100000
312022122201000100102122
4303311103212322200
51402440210244400
641322335203412
74010121050006
oct636523467240
9168581010378
1055655165600
112166a987731
12a952976568
13532c570868
14299d818a76
1516ab0b4685
hexcf54e6ea0

55655165600 has 72 divisors (see below), whose sum is σ = 135918792828. Its totient is φ = 22253772800.

The previous prime is 55655165597. The next prime is 55655165651. The reversal of 55655165600 is 656155655.

It can be written as a sum of positive squares in 6 ways, for example, as 47717781136 + 7937384464 = 218444^2 + 89092^2 .

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 11 ways as a sum of consecutive naturals, for example, 2421362 + ... + 2444238.

Almost surely, 255655165600 is an apocalyptic number.

55655165600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55655165600 is an abundant number, since it is smaller than the sum of its proper divisors (80263627228).

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

55655165600 is a wasteful number, since it uses less digits than its factorization.

55655165600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25938 (or 25925 counting only the distinct ones).

The product of its (nonzero) digits is 675000, while the sum is 44.

The spelling of 55655165600 in words is "fifty-five billion, six hundred fifty-five million, one hundred sixty-five thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 3041 6082 12164 15205 22877 24328 30410 45754 48656 60820 76025 91508 97312 114385 121640 152050 183016 228770 243280 304100 366032 457540 486560 571925 608200 732064 915080 1143850 1216400 1830160 2287700 2432800 3660320 4575400 9150800 18301600 69568957 139137914 278275828 347844785 556551656 695689570 1113103312 1391379140 1739223925 2226206624 2782758280 3478447850 5565516560 6956895700 11131033120 13913791400 27827582800 55655165600