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55168461408 = 2531930245867
BaseRepresentation
bin110011011000010010…
…111110101001100000
312021101210012012210110
4303120102332221200
51400441111231113
641202151331320
73662061120234
oct633022765140
9167353165713
1055168461408
1121440181665
12a837980b40
135282792508
142954d245c4
15167d4c5bc3
hexcd84bea60

55168461408 has 48 divisors (see below), whose sum is σ = 152439174720. Its totient is φ = 17421618816.

The previous prime is 55168461407. The next prime is 55168461437. The reversal of 55168461408 is 80416486155.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55168461401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15121110 + ... + 15124757.

It is an arithmetic number, because the mean of its divisors is an integer number (3175816140).

Almost surely, 255168461408 is an apocalyptic number.

It is an amenable number.

55168461408 is an abundant number, since it is smaller than the sum of its proper divisors (97270713312).

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

55168461408 is a wasteful number, since it uses less digits than its factorization.

55168461408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30245899 (or 30245891 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 55168461408 in words is "fifty-five billion, one hundred sixty-eight million, four hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 30245867 60491734 90737601 120983468 181475202 241966936 362950404 483933872 574671473 725900808 967867744 1149342946 1451801616 1724014419 2298685892 2903603232 3448028838 4597371784 6896057676 9194743568 13792115352 18389487136 27584230704 55168461408