Search a number
-
+
6215684616960 = 2835713177114737
BaseRepresentation
bin101101001110011001110…
…1011000111001100000000
3211000012202202012022222220
41122130303223013030000
51303314210230220320
621115240204531040
71211032313336340
oct132346353071400
924005682168886
106215684616960
111a87069a18505
12844784250a80
133611a0cac5c0
14176baadc6d20
15aba3e3a5e40
hex5a733ac7300

6215684616960 has 1152 divisors, whose sum is σ = 26235764158464. Its totient is φ = 1216830504960.

The previous prime is 6215684616959. The next prime is 6215684617039. The reversal of 6215684616960 is 696164865126.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 6215684616894 and 6215684616903.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 421766712 + ... + 421781448.

It is an arithmetic number, because the mean of its divisors is an integer number (22774100832).

Almost surely, 26215684616960 is an apocalyptic number.

6215684616960 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 6215684616960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117882079232).

6215684616960 is an abundant number, since it is smaller than the sum of its proper divisors (20020079541504).

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

6215684616960 is a wasteful number, since it uses less digits than its factorization.

6215684616960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14869 (or 14855 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 60.

The spelling of 6215684616960 in words is "six trillion, two hundred fifteen billion, six hundred eighty-four million, six hundred sixteen thousand, nine hundred sixty".