Search a number
-
+
6890964834600 = 233352721121012131
BaseRepresentation
bin110010001000110110110…
…0000101101100100101000
3220101202210012001200021000
41210101231200231210220
51400400143444201400
622353355431315000
71310566350436500
oct144215540554450
926352705050230
106890964834600
112217495002800
1293362221ba60
133aca79ca5792
1419b74b248a00
15be3b318d600
hex6446d82d928

6890964834600 has 1728 divisors, whose sum is σ = 30663859262400. Its totient is φ = 1417046400000.

The previous prime is 6890964834563. The next prime is 6890964834679. The reversal of 6890964834600 is 64384690986.

6890964834600 is a `hidden beast` number, since 6 + 8 + 9 + 0 + 96 + 4 + 83 + 460 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 3233675535 + ... + 3233677665.

It is an arithmetic number, because the mean of its divisors is an integer number (17745288925).

Almost surely, 26890964834600 is an apocalyptic number.

6890964834600 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 6890964834600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15331929631200).

6890964834600 is an abundant number, since it is smaller than the sum of its proper divisors (23772894427800).

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

6890964834600 is a wasteful number, since it uses less digits than its factorization.

6890964834600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293 (or 2260 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 6890964834600 in words is "six trillion, eight hundred ninety billion, nine hundred sixty-four million, eight hundred thirty-four thousand, six hundred".