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1010064996 = 2232176072719
BaseRepresentation
bin111100001101000…
…101111001100100
32121101121121200200
4330031011321210
54032034034441
6244121110500
734013260623
oct7415057144
92541547620
101010064996
11479178866
12242328430
131313524c5
149820b6ba
155da1d7b6
hex3c345e64

1010064996 has 72 divisors (see below), whose sum is σ = 2708858880. Its totient is φ = 316244736.

The previous prime is 1010064973. The next prime is 1010064997. The reversal of 1010064996 is 6994600101.

1010064996 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 649 + 9 + 6 = 666.

1010064996 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10100649962 = 2040462592288960032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1010064996.

It is not an unprimeable number, because it can be changed into a prime (1010064997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 370125 + ... + 372843.

It is an arithmetic number, because the mean of its divisors is an integer number (37623040).

Almost surely, 21010064996 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 1010064996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354429440).

1010064996 is an abundant number, since it is smaller than the sum of its proper divisors (1698793884).

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

1010064996 is a wasteful number, since it uses less digits than its factorization.

1010064996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3353 (or 3348 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1010064996 is about 31781.5197245192. The cubic root of 1010064996 is about 1003.3438051712.

The spelling of 1010064996 in words is "one billion, ten million, sixty-four thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 607 612 1214 1821 2428 2719 3642 5438 5463 7284 8157 10319 10876 10926 16314 20638 21852 24471 30957 32628 41276 46223 48942 61914 92446 92871 97884 123828 138669 184892 185742 277338 371484 416007 554676 832014 1650433 1664028 3300866 4951299 6601732 9902598 14853897 19805196 28057361 29707794 56114722 59415588 84172083 112229444 168344166 252516249 336688332 505032498 1010064996