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6149463441856 = 2671941611511913
BaseRepresentation
bin101100101111100100010…
…0101011000000111000000
3210202212211200101002100221
41121133020211120013000
51301223100120114411
621025005143152424
71203166302544030
oct131371045300700
923685750332327
106149463441856
111a60a77884519
12833982a45714
13357b796c7117
141738c81cd8c0
15a9e658cc071
hex597c89581c0

6149463441856 has 448 divisors, whose sum is σ = 15393954723840. Its totient is φ = 2378833920000.

The previous prime is 6149463441787. The next prime is 6149463441871. The reversal of 6149463441856 is 6581443649416.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (61).

It is a junction number, because it is equal to n+sod(n) for n = 6149463441794 and 6149463441803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3214564356 + ... + 3214566268.

It is an arithmetic number, because the mean of its divisors is an integer number (34361506080).

Almost surely, 26149463441856 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 6149463441856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7696977361920).

6149463441856 is an abundant number, since it is smaller than the sum of its proper divisors (9244491281984).

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

6149463441856 is a wasteful number, since it uses less digits than its factorization.

6149463441856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2204 (or 2194 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 61.

The spelling of 6149463441856 in words is "six trillion, one hundred forty-nine billion, four hundred sixty-three million, four hundred forty-one thousand, eight hundred fifty-six".