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55060046814456 = 233540996909751
BaseRepresentation
bin11001000010011101010101…
…00010000001110011111000
321012221200121022221121200000
430201032222202001303320
524204100433441030311
6313034123013313000
714411646200610255
oct1441165242016370
9235850538847600
1055060046814456
11165a8920018042
12621300a335760
1324951a8b55888
14d84cc5b4c42c
15657388c80056
hex3213aa881cf8

55060046814456 has 96 divisors (see below), whose sum is σ = 154681708272000. Its totient is φ = 18348868764000.

The previous prime is 55060046814397. The next prime is 55060046814457. The reversal of 55060046814456 is 65441864006055.

55060046814456 is a `hidden beast` number, since 5 + 50 + 60 + 0 + 4 + 6 + 81 + 4 + 456 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55060046814457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4513581 + ... + 11423331.

It is an arithmetic number, because the mean of its divisors is an integer number (1611267794500).

Almost surely, 255060046814456 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 55060046814456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77340854136000).

55060046814456 is an abundant number, since it is smaller than the sum of its proper divisors (99621661457544).

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

55060046814456 is a wasteful number, since it uses less digits than its factorization.

55060046814456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6913871 (or 6913855 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 55060046814456 in words is "fifty-five trillion, sixty billion, forty-six million, eight hundred fourteen thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 972 1944 4099 8198 12297 16396 24594 32792 36891 49188 73782 98376 110673 147564 221346 295128 332019 442692 664038 885384 996057 1328076 1992114 2656152 3984228 6909751 7968456 13819502 20729253 27639004 41458506 55278008 62187759 82917012 124375518 165834024 186563277 248751036 373126554 497502072 559689831 746253108 1119379662 1492506216 1679069493 2238759324 3358138986 4477518648 6716277972 13432555944 28323069349 56646138698 84969208047 113292277396 169938416094 226584554792 254907624141 339876832188 509815248282 679753664376 764722872423 1019630496564 1529445744846 2039260993128 2294168617269 3058891489692 4588337234538 6117782979384 6882505851807 9176674469076 13765011703614 18353348938152 27530023407228 55060046814456