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10723676004 = 2232297879889
BaseRepresentation
bin10011111110010111…
…00100111101100100
31000200100111011222100
421333023210331210
5133430230113004
64532033332100
7526512512346
oct117713447544
930610434870
1010723676004
114603265558
1220b3407030
13101b8c9222
1473a301296
1542b6aa739
hex27f2e4f64

10723676004 has 18 divisors (see below), whose sum is σ = 27107069990. Its totient is φ = 3574558656.

The previous prime is 10723676003. The next prime is 10723676011. The reversal of 10723676004 is 40067632701.

10723676004 is a `hidden beast` number, since 10 + 7 + 2 + 36 + 7 + 600 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10629197604 + 94478400 = 103098^2 + 9720^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×107236760042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 297879889 = 10723676004 / (1 + 0 + 7 + 2 + 3 + 6 + 7 + 6 + 0 + 0 + 4).

It is a self number, because there is not a number n which added to its sum of digits gives 10723676004.

It is not an unprimeable number, because it can be changed into a prime (10723676003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 148939909 + ... + 148939980.

Almost surely, 210723676004 is an apocalyptic number.

It is an amenable number.

10723676004 is an abundant number, since it is smaller than the sum of its proper divisors (16383393986).

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

10723676004 is a wasteful number, since it uses less digits than its factorization.

10723676004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297879899 (or 297879894 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 10723676004 in words is "ten billion, seven hundred twenty-three million, six hundred seventy-six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 297879889 595759778 893639667 1191519556 1787279334 2680919001 3574558668 5361838002 10723676004