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1010693376 = 2835711211
BaseRepresentation
bin111100001111011…
…111010100000000
32121102210112200000
4330033133110000
54032214142001
6244142400000
734021515630
oct7417372400
92542715600
101010693376
11479567990
12242590000
13131512524
14983326c0
155dae4a86
hex3c3df500

1010693376 has 432 divisors, whose sum is σ = 3785553408. Its totient is φ = 261273600.

The previous prime is 1010693351. The next prime is 1010693381. The reversal of 1010693376 is 6733960101.

1010693376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×10106933762 = 2043002200580554752, 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 1010693376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4789911 + ... + 4790121.

Almost surely, 21010693376 is an apocalyptic number.

1010693376 is a gapful number since it is divisible by the number (16) 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 1010693376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1892776704).

1010693376 is an abundant number, since it is smaller than the sum of its proper divisors (2774860032).

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

1010693376 is an equidigital number, since it uses as much as digits as its factorization.

1010693376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 1010693376 is about 31791.4041212401. The cubic root of 1010693376 is about 1003.5518282468.

The spelling of 1010693376 in words is "one billion, ten million, six hundred ninety-three thousand, three hundred seventy-six".