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5340541864 = 2372931432467
BaseRepresentation
bin1001111100101001…
…00011001110101000
3111210012011122011211
410332110203032220
541414134314424
62241534202504
7246225566620
oct47624431650
914705148154
105340541864
1122a0662169
121050653434
13671582a58
143893c9880
15213cc2b94
hex13e5233a8

5340541864 has 128 divisors (see below), whose sum is σ = 12509798400. Its totient is φ = 2088011520.

The previous prime is 5340541859. The next prime is 5340541867. The reversal of 5340541864 is 4681450435.

It is a happy number.

It is a super-2 number, since 2×53405418642 = 57042774802273188992, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5340541867) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2163559 + ... + 2166025.

It is an arithmetic number, because the mean of its divisors is an integer number (97732800).

Almost surely, 25340541864 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 5340541864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6254899200).

5340541864 is an abundant number, since it is smaller than the sum of its proper divisors (7169256536).

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

5340541864 is a wasteful number, since it uses less digits than its factorization.

5340541864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2579 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

The square root of 5340541864 is about 73079.0111044204. The cubic root of 5340541864 is about 1747.9477290459.

The spelling of 5340541864 in words is "five billion, three hundred forty million, five hundred forty-one thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 31 43 56 58 62 86 116 124 172 203 217 232 248 301 344 406 434 602 812 868 899 1204 1247 1333 1624 1736 1798 2408 2467 2494 2666 3596 4934 4988 5332 6293 7192 8729 9331 9868 9976 10664 12586 17269 17458 18662 19736 25172 34538 34916 37324 38657 50344 69076 69832 71543 74648 76477 77314 106081 138152 143086 152954 154628 212162 270599 286172 305908 309256 424324 500801 535339 541198 572344 611816 742567 848648 1001602 1070678 1082396 1485134 2003204 2141356 2164792 2217833 2970268 3076349 3288511 4006408 4282712 4435666 5940536 6152698 6577022 8871332 12305396 13154044 15524831 17742664 21534443 23019577 24610792 26308088 31049662 43068886 46039154 62099324 86137772 92078308 95366819 124198648 172275544 184156616 190733638 381467276 667567733 762934552 1335135466 2670270932 5340541864