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5739105104 = 24292974397
BaseRepresentation
bin1010101100001001…
…11100101101010000
3112210222010202011022
411112010330231100
543223202330404
62345252535012
7262135405565
oct52604745520
915728122138
105739105104
112485636677
121142021468
137060103a5
143c62d886c
15238ca08be
hex15613cb50

5739105104 has 60 divisors (see below), whose sum is σ = 11637539004. Its totient is φ = 2741415936.

The previous prime is 5739105079. The next prime is 5739105121. The reversal of 5739105104 is 4015019375.

It can be written as a sum of positive squares in 6 ways, for example, as 739600 + 5738365504 = 860^2 + 75752^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303034 + ... + 1307430.

Almost surely, 25739105104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5739105104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5818769502).

5739105104 is an abundant number, since it is smaller than the sum of its proper divisors (5898433900).

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

5739105104 is a wasteful number, since it uses less digits than its factorization.

5739105104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4560 (or 4525 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 5739105104 is about 75756.8815620073. The cubic root of 5739105104 is about 1790.3917147784.

The spelling of 5739105104 in words is "five billion, seven hundred thirty-nine million, one hundred five thousand, one hundred four".

Divisors: 1 2 4 8 16 29 58 97 116 194 232 388 464 776 841 1552 1682 2813 3364 4397 5626 6728 8794 11252 13456 17588 22504 35176 45008 70352 81577 127513 163154 255026 326308 426509 510052 652616 853018 1020104 1305232 1706036 2040208 3412072 3697877 6824144 7395754 12368761 14791508 24737522 29583016 49475044 59166032 98950088 197900176 358694069 717388138 1434776276 2869552552 5739105104