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11746007641 = 1083792
BaseRepresentation
bin10101111000001110…
…11101101001011001
31010022121012000100001
422330013131221121
5143023434221031
65221313413001
7564035263144
oct127407355131
933277160301
1011746007641
114a88351435
12233986a161
131152654ba4
147d5dc305b
1548b2ed861
hex2bc1dda59

11746007641 has 3 divisors (see below), whose sum is σ = 11746116021. Its totient is φ = 11745899262.

The previous prime is 11746007621. The next prime is 11746007657. The reversal of 11746007641 is 14670064711.

The square root of 11746007641 is 108379.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is not a de Polignac number, because 11746007641 - 213 = 11745999449 is a prime.

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 11746007641.

It is not an unprimeable number, because it can be changed into a prime (11746007621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 54190 + ... + 162568.

It is an arithmetic number, because the mean of its divisors is an integer number (3915372007).

Almost surely, 211746007641 is an apocalyptic number.

11746007641 is the 108379-th square number.

11746007641 is the 54190-th centered octagonal number.

It is an amenable number.

11746007641 is a deficient number, since it is larger than the sum of its proper divisors (108380).

11746007641 is an frugal number, since it uses more digits than its factorization.

11746007641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216758 (or 108379 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 37.

Multiplying 11746007641 by its product of nonzero digits (28224), we get a square (331519319659584 = 182076722).

The spelling of 11746007641 in words is "eleven billion, seven hundred forty-six million, seven thousand, six hundred forty-one".

Divisors: 1 108379 11746007641