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6439889346 = 23112312771033
BaseRepresentation
bin1011111111101100…
…01110100111000010
3121121210210021102020
411333312032213002
5101142102424341
62543005102310
7315405104412
oct57766164702
917553707366
106439889346
112805171200
1212b8857996
137b8265717
144513d8642
1527a57a566
hex17fd8e9c2

6439889346 has 96 divisors (see below), whose sum is σ = 14680748544. Its totient is φ = 1879891200.

The previous prime is 6439889333. The next prime is 6439889359.

6439889346 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6439889333) and next prime (6439889359).

It is a self number, because there is not a number n which added to its sum of digits gives 6439889346.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6233646 + ... + 6234678.

It is an arithmetic number, because the mean of its divisors is an integer number (152924464).

Almost surely, 26439889346 is an apocalyptic number.

6439889346 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6439889346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7340374272).

6439889346 is an abundant number, since it is smaller than the sum of its proper divisors (8240859198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6439889346 is a wasteful number, since it uses less digits than its factorization.

6439889346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1357 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 60.

The square root of 6439889346 is about 80248.9211516267. The cubic root of 6439889346 is about 1860.4848377663.

The spelling of 6439889346 in words is "six billion, four hundred thirty-nine million, eight hundred eighty-nine thousand, three hundred forty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 121 186 242 277 341 363 554 682 726 831 1023 1033 1662 2046 2066 3047 3099 3751 6094 6198 7502 8587 9141 11253 11363 17174 18282 22506 22726 25761 32023 33517 34089 51522 64046 67034 68178 94457 96069 100551 124993 188914 192138 201102 249986 283371 286141 352253 374979 566742 572282 704506 749958 858423 1039027 1056759 1716846 2078054 2113518 3117081 3147551 3874783 6234162 6295102 7749566 8870371 9442653 11624349 17740742 18885306 23248698 26611113 34623061 53222226 69246122 97574081 103869183 195148162 207738366 292722243 585444486 1073314891 2146629782 3219944673 6439889346