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5814302464 = 28173171607
BaseRepresentation
bin1010110101000111…
…10011011100000000
3120000012122011112201
411122203303130000
543401430134324
62400540402544
7264040520065
oct53243633400
916005564481
105814302464
112514027553
121163246454
1371877b779
143d22b0c6c
152406a6444
hex15a8f3700

5814302464 has 144 divisors (see below), whose sum is σ = 12884852736. Its totient is φ = 2606284800.

The previous prime is 5814302453. The next prime is 5814302489. The reversal of 5814302464 is 4642034185.

It is a super-2 number, since 2×58143024642 = 67612226285752942592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9578449 + ... + 9579055.

It is an arithmetic number, because the mean of its divisors is an integer number (89478144).

Almost surely, 25814302464 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 5814302464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6442426368).

5814302464 is an abundant number, since it is smaller than the sum of its proper divisors (7070550272).

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

5814302464 is a wasteful number, since it uses less digits than its factorization.

5814302464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 5814302464 is about 76251.5735181904. The cubic root of 5814302464 is about 1798.1774210253.

The spelling of 5814302464 in words is "five billion, eight hundred fourteen million, three hundred two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 71 124 128 136 142 248 256 272 284 496 527 544 568 607 992 1054 1088 1136 1207 1214 1984 2108 2176 2201 2272 2414 2428 3968 4216 4352 4402 4544 4828 4856 7936 8432 8804 9088 9656 9712 10319 16864 17608 18176 18817 19312 19424 20638 33728 35216 37417 37634 38624 38848 41276 43097 67456 70432 74834 75268 77248 77696 82552 86194 134912 140864 149668 150536 154496 155392 165104 172388 281728 299336 301072 308992 319889 330208 344776 563456 598672 602144 639778 660416 689552 732649 1197344 1204288 1279556 1320832 1336007 1379104 1465298 2394688 2408576 2559112 2641664 2672014 2758208 2930596 4789376 4817152 5118224 5344028 5516416 5861192 9578752 10236448 10688056 11032832 11722384 20472896 21376112 22712119 23444768 40945792 42752224 45424238 46889536 81891584 85504448 90848476 93779072 171008896 181696952 187558144 342017792 363393904 726787808 1453575616 2907151232 5814302464