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5801345641 = 72132700561
BaseRepresentation
bin1010110011100100…
…11000001001101001
3112222022020220010101
411121302120021221
543340121030031
62355354545401
7263522424100
oct53162301151
915868226111
105801345641
112507787933
12115aa38261
13715b93100
143d069b037
1523e497361
hex159c98269

5801345641 has 18 divisors (see below), whose sum is σ = 7307562222. Its totient is φ = 4590069120.

The previous prime is 5801345633. The next prime is 5801345657. The reversal of 5801345641 is 1465431085.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 427869225 + 5373476416 = 20685^2 + 73304^2 .

It is not a de Polignac number, because 5801345641 - 23 = 5801345633 is a prime.

It is a super-2 number, since 2×58013456412 = 67311222492699401762, which contains 22 as substring.

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 5801345641.

It is not an unprimeable number, because it can be changed into a prime (5801345441) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 342000 + ... + 358561.

It is an arithmetic number, because the mean of its divisors is an integer number (405975679).

Almost surely, 25801345641 is an apocalyptic number.

It is an amenable number.

5801345641 is a deficient number, since it is larger than the sum of its proper divisors (1506216581).

5801345641 is a wasteful number, since it uses less digits than its factorization.

5801345641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 700601 (or 700581 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The square root of 5801345641 is about 76166.5651122591. The cubic root of 5801345641 is about 1796.8407175699.

The spelling of 5801345641 in words is "five billion, eight hundred one million, three hundred forty-five thousand, six hundred forty-one".

Divisors: 1 7 13 49 91 169 637 1183 8281 700561 4903927 9107293 34327489 63751051 118394809 446257357 828763663 5801345641