Search a number
BaseRepresentation
bin101111101011000101110…
…0000011010110000111100
3212012101021200122020120120
41133112023200122300330
51324322313402021120
621534005013214540
71244243526110160
oct137261340326074
925171250566516
106552165657660
1120a6837776617
12899a2b031450
13386b35b1660c
141891ab200ca0
15b5684647140
hex5f58b81ac3c

6552165657660 has 192 divisors, whose sum is σ = 21046506808320. Its totient is φ = 1491961743360.

The previous prime is 6552165657551. The next prime is 6552165657671. The reversal of 6552165657660 is 667565612556.

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 = 6552165657594 and 6552165657603.

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, 164520550 + ... + 164560370.

It is an arithmetic number, because the mean of its divisors is an integer number (109617222960).

Almost surely, 26552165657660 is an apocalyptic number.

6552165657660 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 6552165657660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10523253404160).

6552165657660 is an abundant number, since it is smaller than the sum of its proper divisors (14494341150660).

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

6552165657660 is a wasteful number, since it uses less digits than its factorization.

6552165657660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41316 (or 41314 counting only the distinct ones).

The product of its (nonzero) digits is 68040000, while the sum is 60.

The spelling of 6552165657660 in words is "six trillion, five hundred fifty-two billion, one hundred sixty-five million, six hundred fifty-seven thousand, six hundred sixty".