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23678262641 = 112415219161
BaseRepresentation
bin10110000011010101…
…011001110101110001
32021010011211101000102
4112003111121311301
5341443113401031
614513323202145
71465524624455
oct260325316561
967104741012
1023678262641
11a050842200
124709976355
13230475a3c7
141208a08665
15938b3b7cb
hex583559d71

23678262641 has 24 divisors (see below), whose sum is σ = 26715402504. Its totient is φ = 20958080000.

The previous prime is 23678262623. The next prime is 23678262649. The reversal of 23678262641 is 14626287632.

It can be written as a sum of positive squares in 4 ways, for example, as 168480400 + 23509782241 = 12980^2 + 153329^2 .

It is a de Polignac number, because none of the positive numbers 2k-23678262641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23678262649) 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, 2580101 + ... + 2589261.

It is an arithmetic number, because the mean of its divisors is an integer number (1113141771).

Almost surely, 223678262641 is an apocalyptic number.

It is an amenable number.

23678262641 is a deficient number, since it is larger than the sum of its proper divisors (3037139863).

23678262641 is a wasteful number, since it uses less digits than its factorization.

23678262641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9745 (or 9734 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 47.

The spelling of 23678262641 in words is "twenty-three billion, six hundred seventy-eight million, two hundred sixty-two thousand, six hundred forty-one".

Divisors: 1 11 41 121 451 521 4961 5731 9161 21361 63041 100771 234971 375601 1108481 2584681 4131611 4772881 45447721 52501691 195688121 577518601 2152569331 23678262641