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2429602681 = 11244812
BaseRepresentation
bin1001000011010000…
…1100101101111001
320021022201121022111
42100310030231321
514433434241211
61041030452321
7114131165512
oct22064145571
96238647274
102429602681
1110374a1500
125798040a1
132c9481b2c
14190967a09
15e3472421
hex90d0cb79

2429602681 has 9 divisors (see below), whose sum is σ = 2671151119. Its totient is φ = 2208236800.

The previous prime is 2429602663. The next prime is 2429602691. The reversal of 2429602681 is 1862069242.

The square root of 2429602681 is 49291.

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

It can be written as a sum of positive squares in only one way, i.e., 1906108281 + 523494400 = 43659^2 + 22880^2 .

It is not a de Polignac number, because 2429602681 - 227 = 2295384953 is a prime.

It is a super-2 number, since 2×24296026812 = 11805938375044775522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2429602601) 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, 539961 + ... + 544441.

Almost surely, 22429602681 is an apocalyptic number.

2429602681 is the 49291-st square number.

2429602681 is the 24646-th centered octagonal number.

It is an amenable number.

2429602681 is a deficient number, since it is larger than the sum of its proper divisors (241548438).

2429602681 is an frugal number, since it uses more digits than its factorization.

2429602681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The cubic root of 2429602681 is about 1344.3481464238.

Multiplying 2429602681 by its product of nonzero digits (82944), we get a square (201520964772864 = 141958082).

The spelling of 2429602681 in words is "two billion, four hundred twenty-nine million, six hundred two thousand, six hundred eighty-one".

Divisors: 1 11 121 4481 49291 542201 20079361 220872971 2429602681