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5347286964 = 22321719895167
BaseRepresentation
bin1001111101011100…
…10001111110110100
3111210122212022201100
410332232101332310
541422401140324
62242334530100
7246340121625
oct47656217664
914718768640
105347286964
1122a4449928
121052966930
13672aa4c36
1438a263a4c
152146a64c9
hex13eb91fb4

5347286964 has 144 divisors (see below), whose sum is σ = 15237331200. Its totient is φ = 1571125248.

The previous prime is 5347286963. The next prime is 5347287007. The reversal of 5347286964 is 4696827435.

5347286964 is a `hidden beast` number, since 5 + 3 + 472 + 86 + 96 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5347286964.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5347286963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032309 + ... + 1037475.

It is an arithmetic number, because the mean of its divisors is an integer number (105814800).

Almost surely, 25347286964 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 5347286964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7618665600).

5347286964 is an abundant number, since it is smaller than the sum of its proper divisors (9890044236).

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

5347286964 is a wasteful number, since it uses less digits than its factorization.

5347286964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5302 (or 5297 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 5347286964 is about 73125.1459075467. The cubic root of 5347286964 is about 1748.6833049722.

The spelling of 5347286964 in words is "five billion, three hundred forty-seven million, two hundred eighty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 89 102 114 153 171 178 204 228 267 306 323 342 356 534 612 646 684 801 969 1068 1292 1513 1602 1691 1938 2907 3026 3204 3382 3876 4539 5073 5167 5814 6052 6764 9078 10146 10334 11628 13617 15219 15501 18156 20292 20668 27234 28747 30438 31002 46503 54468 57494 60876 62004 86241 87839 93006 98173 114988 172482 175678 186012 196346 258723 263517 294519 344964 351356 392692 459863 517446 527034 589038 790551 883557 919726 1034892 1054068 1178076 1379589 1581102 1668941 1767114 1839452 2759178 3162204 3337882 3534228 4138767 5006823 5518356 6675764 7817671 8277534 8737397 10013646 15020469 15635342 16555068 17474794 20027292 23453013 26212191 30040938 31270684 34949588 46906026 52424382 60081876 70359039 78636573 93812052 104848764 140718078 148535749 157273146 281436156 297071498 314546292 445607247 594142996 891214494 1336821741 1782428988 2673643482 5347286964