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5814422461 = 374361181331
BaseRepresentation
bin1010110101001000…
…10000101110111101
3120000012212021011001
411122210100232331
543401443004321
62400543130301
7264041526661
oct53244205675
916005767131
105814422461
1125140a9721
1211632a3991
137187c1283
143d23028a1
152406cbc91
hex15a910bbd

5814422461 has 32 divisors (see below), whose sum is σ = 6263793536. Its totient is φ = 5388768000.

The previous prime is 5814422431. The next prime is 5814422477. The reversal of 5814422461 is 1642244185.

It is a 4-Lehmer number, since φ(5814422461) divides (5814422461-1)4.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 5814422461 - 25 = 5814422429 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a deceptive number, since it divides R5814422460.

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 5814422461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5814422431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17566066 + ... + 17566396.

It is an arithmetic number, because the mean of its divisors is an integer number (195743548).

It is a Poulet number, since it divides 25814422460-1.

Almost surely, 25814422461 is an apocalyptic number.

It is an amenable number.

5814422461 is a deficient number, since it is larger than the sum of its proper divisors (449371075).

5814422461 is a wasteful number, since it uses less digits than its factorization.

5814422461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653.

The product of its digits is 61440, while the sum is 37.

The square root of 5814422461 is about 76252.3603634668. The cubic root of 5814422461 is about 1798.1897913491.

It can be divided in two parts, 5814 and 422461, that added together give a triangular number (428275 = T925).

The spelling of 5814422461 in words is "five billion, eight hundred fourteen million, four hundred twenty-two thousand, four hundred sixty-one".

Divisors: 1 37 43 61 181 331 1591 2257 2623 6697 7783 11041 12247 14233 20191 59911 97051 287971 408517 474763 526621 747067 868213 2216707 2576173 3654571 17566231 32123881 95318401 135219127 157146553 5814422461