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961469295360 = 28357319771181
BaseRepresentation
bin11011111110111000000…
…10010010101100000000
310101220201110002211022020
431333130002102230000
5111223042114422420
62013405355441440
7126315051111120
oct15773402225400
93356643084266
10961469295360
11340836396242
1213640a156280
136c887747922
143476d068c80
151a023c61340
hexdfdc092b00

961469295360 has 576 divisors, whose sum is σ = 3629346545664. Its totient is φ = 212277657600.

The previous prime is 961469295349. The next prime is 961469295361. The reversal of 961469295360 is 63592964169.

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 = 961469295294 and 961469295303.

It is not an unprimeable number, because it can be changed into a prime (961469295361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 814113970 + ... + 814115150.

It is an arithmetic number, because the mean of its divisors is an integer number (6300948864).

Almost surely, 2961469295360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 961469295360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1814673272832).

961469295360 is an abundant number, since it is smaller than the sum of its proper divisors (2667877250304).

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

961469295360 is a wasteful number, since it uses less digits than its factorization.

961469295360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 60.

The spelling of 961469295360 in words is "nine hundred sixty-one billion, four hundred sixty-nine million, two hundred ninety-five thousand, three hundred sixty".