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5738971536 = 24325921072
BaseRepresentation
bin1010101100001000…
…11100000110010000
3112210221212221221100
411112010130012100
543223134042121
62345250024400
7262134311304
oct52604340620
915727787840
105738971536
112485555291
121141b78100
13705c9465c
143c62a1d04
15238c76026
hex15611c190

5738971536 has 135 divisors (see below), whose sum is σ = 16492104811. Its totient is φ = 1862991552.

The previous prime is 5738971531. The next prime is 5738971541. The reversal of 5738971536 is 6351798375.

The square root of 5738971536 is 75756.

It is a perfect power (a square), and thus also a powerful number.

5738971536 is a `hidden beast` number, since 5 + 7 + 38 + 9 + 71 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (5738971531) and next prime (5738971541).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5738971531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53635195 + ... + 53635301.

Almost surely, 25738971536 is an apocalyptic number.

5738971536 is the 75756-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5738971536

5738971536 is an abundant number, since it is smaller than the sum of its proper divisors (10753133275).

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

5738971536 is a wasteful number, since it uses less digits than its factorization.

5738971536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 171 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The cubic root of 5738971536 is about 1790.3778252206.

The spelling of 5738971536 in words is "five billion, seven hundred thirty-eight million, nine hundred seventy-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 107 118 144 177 214 236 321 354 428 472 531 642 708 856 944 963 1062 1284 1416 1712 1926 2124 2568 2832 3481 3852 4248 5136 6313 6962 7704 8496 10443 11449 12626 13924 15408 18939 20886 22898 25252 27848 31329 34347 37878 41772 45796 50504 55696 56817 62658 68694 75756 83544 91592 101008 103041 113634 125316 137388 151512 167088 183184 206082 227268 250632 274776 303024 372467 412164 454536 501264 549552 675491 744934 824328 909072 1117401 1350982 1489868 1648656 2026473 2234802 2701964 2979736 3352203 4052946 4469604 5403928 5959472 6079419 6704406 8105892 8939208 10807856 12158838 13408812 16211784 17878416 24317676 26817624 32423568 39853969 48635352 53635248 79707938 97270704 119561907 159415876 239123814 318831752 358685721 478247628 637663504 717371442 956495256 1434742884 1912990512 2869485768 5738971536