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55060610056100 = 22521125003909547
BaseRepresentation
bin11001000010011110011000…
…00110100111111110100100
321012221202001120210020221122
430201033030012213332210
524204103112133243400
6313034254533433112
714411666150232215
oct1441171406477644
9235852046706848
1055060610056100
11165a9089a49900
126213146a9b798
13249526875125c
14d84d3a88740c
156573bd43b685
hex3213cc1a7fa4

55060610056100 has 108 divisors (see below), whose sum is σ = 131357325999312. Its totient is φ = 20018016004800.

The previous prime is 55060610056099. The next prime is 55060610056129. The reversal of 55060610056100 is 165001606055.

55060610056100 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60081527 + ... + 60991073.

Almost surely, 255060610056100 is an apocalyptic number.

55060610056100 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 55060610056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65678662999656).

55060610056100 is an abundant number, since it is smaller than the sum of its proper divisors (76296715943212).

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

55060610056100 is a wasteful number, since it uses less digits than its factorization.

55060610056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914586 (or 914568 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

The spelling of 55060610056100 in words is "fifty-five trillion, sixty billion, six hundred ten million, fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 5003 6050 10006 12100 20012 25015 50030 55033 100060 110066 125075 220132 250150 275165 500300 550330 605363 909547 1100660 1210726 1375825 1819094 2421452 2751650 3026815 3638188 4547735 5503300 6053630 9095470 10005017 12107260 15134075 18190940 20010034 22738675 30268150 40020068 45477350 50025085 60536300 90954700 100050170 110055187 200100340 220110374 250125425 440220748 500250850 550275935 1000501700 1100551870 2201103740 2751379675 4550463641 5502759350 9100927282 11005518700 18201854564 22752318205 45504636410 50055100051 91009272820 100110200102 113761591025 200220400204 227523182050 250275500255 455046364100 500551000510 550606100561 1001102001020 1101212201122 1251377501275 2202424402244 2502755002550 2753030502805 5005510005100 5506061005610 11012122011220 13765152514025 27530305028050 55060610056100