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5738457816 = 23327213125119
BaseRepresentation
bin1010101100000100…
…11110101011011000
3112210220220212020200
411112002132223120
543223021122231
62345231022200
7262130041500
oct52602365330
915726825220
105738457816
112485234323
12114196a960
13705b44890
143c61aaa00
15238bc3be6
hex15609ead8

5738457816 has 144 divisors (see below), whose sum is σ = 19469923200. Its totient is φ = 1513427328.

The previous prime is 5738457811. The next prime is 5738457821. The reversal of 5738457816 is 6187548375.

It is a happy number.

5738457816 is a `hidden beast` number, since 57 + 3 + 8 + 4 + 578 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (5738457811) and next prime (5738457821).

It is a super-2 number, since 2×57384578162 = 65859796212022979712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5738457811) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16696 + ... + 108423.

It is an arithmetic number, because the mean of its divisors is an integer number (135207800).

Almost surely, 25738457816 is an apocalyptic number.

5738457816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5738457816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9734961600).

5738457816 is an abundant number, since it is smaller than the sum of its proper divisors (13731465384).

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

5738457816 is a wasteful number, since it uses less digits than its factorization.

5738457816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125158 (or 125144 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The square root of 5738457816 is about 75752.6093015944. The cubic root of 5738457816 is about 1790.3244021560.

The spelling of 5738457816 in words is "five billion, seven hundred thirty-eight million, four hundred fifty-seven thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 49 52 56 63 72 78 84 91 98 104 117 126 147 156 168 182 196 234 252 273 294 312 364 392 441 468 504 546 588 637 728 819 882 936 1092 1176 1274 1638 1764 1911 2184 2548 3276 3528 3822 5096 5733 6552 7644 11466 15288 22932 45864 125119 250238 375357 500476 750714 875833 1000952 1126071 1501428 1626547 1751666 2252142 2627499 3002856 3253094 3503332 4504284 4879641 5254998 6130831 6506188 7006664 7882497 9008568 9759282 10509996 11385829 12261662 13012376 14638923 15764994 18392493 19518564 21019992 22771658 24523324 29277846 31529988 34157487 36784986 39037128 45543316 49046648 55177479 58555692 63059976 68314974 73569972 79700803 91086632 102472461 110354958 117111384 136629948 147139944 159401606 204944922 220709916 239102409 273259896 318803212 409889844 441419832 478204818 637606424 717307227 819779688 956409636 1434614454 1912819272 2869228908 5738457816