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2425661001 = 32164172
BaseRepresentation
bin1001000010010100…
…1010011001001001
320021001022100100100
42100211022121021
514431432123001
61040410200013
7114052530651
oct22045123111
96231270310
102425661001
11103524a015
12578423009
132c870198a
1419021d361
15e2e44586
hex9094a649

2425661001 has 9 divisors (see below), whose sum is σ = 3503945991. Its totient is φ = 1617008832.

The previous prime is 2425660967. The next prime is 2425661027. The reversal of 2425661001 is 1001665242.

The square root of 2425661001 is 49251.

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

2425661001 is a `hidden beast` number, since 2 + 42 + 5 + 6 + 610 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 608855625 + 1816805376 = 24675^2 + 42624^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 2425661001 - 219 = 2425136713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2425661101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 139545 + ... + 155961.

Almost surely, 22425661001 is an apocalyptic number.

2425661001 is the 49251-st square number.

2425661001 is the 24626-th centered octagonal number.

It is an amenable number.

2425661001 is a deficient number, since it is larger than the sum of its proper divisors (1078284990).

2425661001 is an frugal number, since it uses more digits than its factorization.

2425661001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32840 (or 16420 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 2425661001 is about 1343.6207492455.

The spelling of 2425661001 in words is "two billion, four hundred twenty-five million, six hundred sixty-one thousand, one".

Divisors: 1 3 9 16417 49251 147753 269517889 808553667 2425661001