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5464787664 = 2437411732293
BaseRepresentation
bin1010001011011101…
…00000101011010000
3112002211221222101010
411011232200223100
542142441201124
62302133210520
7252264633360
oct50556405320
915084858333
105464787664
112354803946
121086190a40
1369123538b
1439bacc9a0
1521eb66529
hex145ba0ad0

5464787664 has 160 divisors (see below), whose sum is σ = 16630435584. Its totient is φ = 1513820160.

The previous prime is 5464787639. The next prime is 5464787681. The reversal of 5464787664 is 4667874645.

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, 2382102 + ... + 2384394.

Almost surely, 25464787664 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 5464787664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8315217792).

5464787664 is an abundant number, since it is smaller than the sum of its proper divisors (11165647920).

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

5464787664 is a wasteful number, since it uses less digits than its factorization.

5464787664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2525 (or 2519 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 57.

The square root of 5464787664 is about 73924.2021532867. The cubic root of 5464787664 is about 1761.3990752119.

It can be divided in two parts, 54647 and 87664, that added together give a triangular number (142311 = T533).

The spelling of 5464787664 in words is "five billion, four hundred sixty-four million, seven hundred eighty-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 173 246 287 328 336 346 492 519 574 656 692 861 984 1038 1148 1211 1384 1722 1968 2076 2293 2296 2422 2768 3444 3633 4152 4586 4592 4844 6879 6888 7093 7266 8304 9172 9688 13758 13776 14186 14532 16051 18344 19376 21279 27516 28372 29064 32102 36688 42558 48153 49651 55032 56744 58128 64204 85116 94013 96306 99302 110064 113488 128408 148953 170232 188026 192612 198604 256816 282039 297906 340464 376052 385224 396689 397208 564078 595812 658091 752104 770448 793378 794416 1128156 1190067 1191624 1316182 1504208 1586756 1974273 2256312 2380134 2383248 2632364 2776823 3173512 3948546 4512624 4760268 5264728 5553646 6347024 7897092 8330469 9520536 10529456 11107292 15794184 16264249 16660938 19041072 22214584 31588368 32528498 33321876 44429168 48792747 65056996 66643752 97585494 113849743 130113992 133287504 195170988 227699486 260227984 341549229 390341976 455398972 683098458 780683952 910797944 1366196916 1821595888 2732393832 5464787664