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6055485542400 = 21235273101569
BaseRepresentation
bin101100000011110011100…
…0100001001000000000000
3210102220021012101011001010
41120013213010021000000
51243203113244324100
620513503542440520
71163331401562000
oct130074704110000
923386235334033
106055485542400
111a251317a4718
12819715a33140
1334c0507209a8
1416d130c92000
15a77b51e3750
hex581e7109000

6055485542400 has 1248 divisors, whose sum is σ = 23620747104000. Its totient is φ = 1367998464000.

The previous prime is 6055485542387. The next prime is 6055485542471. The reversal of 6055485542400 is 42455845506.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6055485542400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10642329316 + ... + 10642329884.

Almost surely, 26055485542400 is an apocalyptic number.

6055485542400 is a gapful number since it is divisible by the number (60) 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 6055485542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11810373552000).

6055485542400 is an abundant number, since it is smaller than the sum of its proper divisors (17565261561600).

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

6055485542400 is a wasteful number, since it uses less digits than its factorization.

6055485542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 3840000, while the sum is 48.

The spelling of 6055485542400 in words is "six trillion, fifty-five billion, four hundred eighty-five million, five hundred forty-two thousand, four hundred".