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5164244020 = 22513172940289
BaseRepresentation
bin1001100111101000…
…00001110000110100
3111022220102210000001
410303310001300310
541034021302040
62212235401044
7241655231005
oct46364016064
914286383001
105164244020
112210098a71
1210015b3184
13643ba6cc0
1436dc171ac
1520359b59a
hex133d01c34

5164244020 has 96 divisors (see below), whose sum is σ = 12792880800. Its totient is φ = 1732706304.

The previous prime is 5164243979. The next prime is 5164244069. The reversal of 5164244020 is 204424615.

It can be written as a sum of positive squares in 16 ways, for example, as 186377104 + 4977866916 = 13652^2 + 70554^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5164244020.

It is a congruent number.

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, 108036 + ... + 148324.

It is an arithmetic number, because the mean of its divisors is an integer number (133259175).

Almost surely, 25164244020 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 5164244020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6396440400).

5164244020 is an abundant number, since it is smaller than the sum of its proper divisors (7628636780).

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

5164244020 is a wasteful number, since it uses less digits than its factorization.

5164244020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40357 (or 40355 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 5164244020 is about 71862.6747345240. The cubic root of 5164244020 is about 1728.4981475076.

Adding to 5164244020 its reverse (204424615), we get a palindrome (5368668635).

The spelling of 5164244020 in words is "five billion, one hundred sixty-four million, two hundred forty-four thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 29 34 52 58 65 68 85 116 130 145 170 221 260 290 340 377 442 493 580 754 884 986 1105 1508 1885 1972 2210 2465 3770 4420 4930 6409 7540 9860 12818 25636 32045 40289 64090 80578 128180 161156 201445 402890 523757 684913 805780 1047514 1168381 1369826 2095028 2336762 2618785 2739652 3424565 4673524 5237570 5841905 6849130 8903869 10475140 11683810 13698260 15188953 17807738 19862477 23367620 30377906 35615476 39724954 44519345 60755812 75944765 79449908 89038690 99312385 151889530 178077380 198624770 258212201 303779060 397249540 516424402 1032848804 1291061005 2582122010 5164244020