Search a number
-
+
96801346620 = 2233511178910771
BaseRepresentation
bin101101000100111001…
…1110101010000111100
3100020212020210220201000
41122021303311100330
53041222121042440
6112245300450300
76664553604306
oct1321163652074
9306766726630
1096801346620
1138064922510
12169166a9990
139188c22b34
144984306976
1527b8505730
hex1689cf543c

96801346620 has 384 divisors, whose sum is σ = 351804902400. Its totient is φ = 21836390400.

The previous prime is 96801346591. The next prime is 96801346633. The reversal of 96801346620 is 2664310869.

96801346620 is a `hidden beast` number, since 9 + 6 + 8 + 0 + 13 + 4 + 6 + 620 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8981835 + ... + 8992605.

It is an arithmetic number, because the mean of its divisors is an integer number (916158600).

Almost surely, 296801346620 is an apocalyptic number.

96801346620 is a gapful number since it is divisible by the number (90) 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 96801346620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175902451200).

96801346620 is an abundant number, since it is smaller than the sum of its proper divisors (255003555780).

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

96801346620 is a wasteful number, since it uses less digits than its factorization.

96801346620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10906 (or 10898 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 96801346620 in words is "ninety-six billion, eight hundred one million, three hundred forty-six thousand, six hundred twenty".