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2070965952 = 2632111917203
BaseRepresentation
bin111101101110000…
…0110111011000000
312100022212222012200
41323130012323000
513220131402302
6541255553200
7102214630416
oct17334067300
95308788180
102070965952
11973008410
1249968b800
13270093753
1415908d2b6
15c1c2e81c
hex7b706ec0

2070965952 has 168 divisors, whose sum is σ = 6816912960. Its totient is φ = 594501120.

The previous prime is 2070965947. The next prime is 2070965969. The reversal of 2070965952 is 2595690702.

It is a junction number, because it is equal to n+sod(n) for n = 2070965898 and 2070965907.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111783 + ... + 128985.

Almost surely, 22070965952 is an apocalyptic number.

2070965952 is a gapful number since it is divisible by the number (22) 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 2070965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3408456480).

2070965952 is an abundant number, since it is smaller than the sum of its proper divisors (4745947008).

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

2070965952 is a wasteful number, since it uses less digits than its factorization.

2070965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17251 (or 17238 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 2070965952 is about 45507.8669243022. The cubic root of 2070965952 is about 1274.6501056031.

The spelling of 2070965952 in words is "two billion, seventy million, nine hundred sixty-five thousand, nine hundred fifty-two".