Search a number
-
+
6241845062160 = 24325232101162257
BaseRepresentation
bin101101011010100101011…
…1101010010101000010000
3211002201021220200122100200
41122311022331102220100
51304231244313442120
621135244122015200
71212646511424021
oct132651275225020
924081256618320
106241845062160
111a971738a4154
12849865347500
133637aca6b286
1417816d524c48
15ac570d9de90
hex5ad4af52a10

6241845062160 has 360 divisors, whose sum is σ = 22130321240664. Its totient is φ = 1576349491200.

The previous prime is 6241845062143. The next prime is 6241845062179. The reversal of 6241845062160 is 612605481426.

It is a happy number.

6241845062160 is a `hidden beast` number, since 6 + 2 + 4 + 1 + 84 + 506 + 2 + 1 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 613107792144 + 5628737270016 = 783012^2 + 2372496^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×62418450621602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38387752 + ... + 38550008.

Almost surely, 26241845062160 is an apocalyptic number.

6241845062160 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 6241845062160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11065160620332).

6241845062160 is an abundant number, since it is smaller than the sum of its proper divisors (15888476178504).

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

6241845062160 is a wasteful number, since it uses less digits than its factorization.

6241845062160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162423 (or 162391 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 6241845062160 in words is "six trillion, two hundred forty-one billion, eight hundred forty-five million, sixty-two thousand, one hundred sixty".