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2196104976 = 2432132314171
BaseRepresentation
bin1000001011100101…
…1110011100010000
312200001100200200100
42002321132130100
513444200324401
61001530052400
7105264404262
oct20271363420
95601320610
102196104976
11a2770a19a
1251357a100
1328cc99800
1416b945b32
15ccbecb86
hex82e5e710

2196104976 has 360 divisors, whose sum is σ = 7136543232. Its totient is φ = 628992000.

The previous prime is 2196104969. The next prime is 2196105001. The reversal of 2196104976 is 6794016912.

2196104976 is a `hidden beast` number, since 21 + 9 + 610 + 4 + 9 + 7 + 6 = 666.

It is a super-2 number, since 2×21961049762 = 9645754131223921152, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30931021 + ... + 30931091.

Almost surely, 22196104976 is an apocalyptic number.

2196104976 is a gapful number since it is divisible by the number (26) 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 2196104976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3568271616).

2196104976 is an abundant number, since it is smaller than the sum of its proper divisors (4940438256).

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

2196104976 is a wasteful number, since it uses less digits than its factorization.

2196104976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 2196104976 is about 46862.6181086802. The cubic root of 2196104976 is about 1299.8234426889.

The spelling of 2196104976 in words is "two billion, one hundred ninety-six million, one hundred four thousand, nine hundred seventy-six".