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5205744012 = 22371710335393
BaseRepresentation
bin1001101100100100…
…10101100110001100
3111102210112012021210
410312102111212030
541130132302022
62220321054420
7243001044150
oct46622254614
914383465253
105205744012
112231563587
121013487410
1364c677501
1437553b060
15207047a0c
hex13649598c

5205744012 has 96 divisors (see below), whose sum is σ = 14841695232. Its totient is φ = 1386233856.

The previous prime is 5205744007. The next prime is 5205744023. The reversal of 5205744012 is 2104475025.

It is a super-2 number, since 2×52057440122 = 54199541436947712288, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129388 + ... + 164780.

It is an arithmetic number, because the mean of its divisors is an integer number (154600992).

Almost surely, 25205744012 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 5205744012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7420847616).

5205744012 is an abundant number, since it is smaller than the sum of its proper divisors (9635951220).

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

5205744012 is a wasteful number, since it uses less digits than its factorization.

5205744012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35527 (or 35525 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 5205744012 is about 72150.8420740881. The cubic root of 5205744012 is about 1733.1158846384.

It can be divided in two parts, 52057 and 44012, that added together give a palindrome (96069).

The spelling of 5205744012 in words is "five billion, two hundred five million, seven hundred forty-four thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 103 119 204 206 238 309 357 412 476 618 714 721 1236 1428 1442 1751 2163 2884 3502 4326 5253 7004 8652 10506 12257 21012 24514 35393 36771 49028 70786 73542 106179 141572 147084 212358 247751 424716 495502 601681 743253 991004 1203362 1486506 1805043 2406724 2973012 3610086 3645479 4211767 7220172 7290958 8423534 10936437 12635301 14581916 16847068 21872874 25270602 25518353 43745748 50541204 51036706 61973143 76555059 102073412 123946286 153110118 185919429 247892572 306220236 371838858 433812001 743677716 867624002 1301436003 1735248004 2602872006 5205744012