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10723421567 = 103283367883
BaseRepresentation
bin10011111110010101…
…00110110101111111
31000200100000020221202
421333022212311333
5133430143442232
64532024050115
7526510402505
oct117712466577
930610006852
1010723421567
114603101381
1220b330393b
13101b83a481
1473a276675
1542b65a162
hex27f2a6d7f

10723421567 has 8 divisors (see below), whose sum is σ = 10865821824. Its totient is φ = 10581757848.

The previous prime is 10723421561. The next prime is 10723421593. The reversal of 10723421567 is 76512432701.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10723421567 - 26 = 10723421503 is a prime.

It is a super-2 number, since 2×107234215672 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10723421567.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10723421561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154793 + ... + 213090.

It is an arithmetic number, because the mean of its divisors is an integer number (1358227728).

Almost surely, 210723421567 is an apocalyptic number.

10723421567 is a deficient number, since it is larger than the sum of its proper divisors (142400257).

10723421567 is a wasteful number, since it uses less digits than its factorization.

10723421567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368269.

The product of its (nonzero) digits is 70560, while the sum is 38.

The spelling of 10723421567 in words is "ten billion, seven hundred twenty-three million, four hundred twenty-one thousand, five hundred sixty-seven".

Divisors: 1 103 283 29149 367883 37891949 104110889 10723421567