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25867741901 = 281701131321
BaseRepresentation
bin11000000101110101…
…100110101011001101
32110202202201102220212
4120011311212223031
5410434120220101
615514455252205
71604012115101
oct300565465315
973682642825
1025867741901
11aa747363a1
12501b07a065
132593247171
141375707901
15a15e7b1bb
hex605d66acd

25867741901 has 8 divisors (see below), whose sum is σ = 25997028408. Its totient is φ = 25738720000.

The previous prime is 25867741891. The next prime is 25867741937. The reversal of 25867741901 is 10914776852.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3359941225 + 22507800676 = 57965^2 + 150026^2 .

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

It is a 4-Lehmer number, since φ(25867741901) divides (25867741901-1)4.

It is a cyclic number.

It is not a de Polignac number, because 25867741901 - 214 = 25867725517 is a prime.

It is a deceptive number, since it divides R25867741900.

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 25867741901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25867141901) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131321 + ... + 262641.

It is an arithmetic number, because the mean of its divisors is an integer number (3249628551).

It is a Poulet number, since it divides 225867741900-1.

Almost surely, 225867741901 is an apocalyptic number.

25867741901 is the 131321-st pentagonal number.

It is an amenable number.

25867741901 is a deficient number, since it is larger than the sum of its proper divisors (129286507).

25867741901 is a wasteful number, since it uses less digits than its factorization.

25867741901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132303.

The product of its (nonzero) digits is 846720, while the sum is 50.

The spelling of 25867741901 in words is "twenty-five billion, eight hundred sixty-seven million, seven hundred forty-one thousand, nine hundred one".

Divisors: 1 281 701 131321 196981 36901201 92056021 25867741901