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5458500864 = 283213717293
BaseRepresentation
bin1010001010101101…
…00001110100000000
3112002102010120111200
411011112201310000
542134334011424
62301350341200
7252160330455
oct50526416400
915072116450
105458500864
1123511aa543
12108405a800
1368cb4398b
1439ad3382c
1521e3238c9
hex1455a1d00

5458500864 has 108 divisors (see below), whose sum is σ = 15853997796. Its totient is φ = 1806114816.

The previous prime is 5458500851. The next prime is 5458500869. The reversal of 5458500864 is 4680058545.

5458500864 is a `hidden beast` number, since 5 + 4 + 585 + 0 + 0 + 8 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1437926400 + 4020574464 = 37920^2 + 63408^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5458500869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 307002 + ... + 324294.

Almost surely, 25458500864 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 5458500864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7926998898).

5458500864 is an abundant number, since it is smaller than the sum of its proper divisors (10395496932).

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

5458500864 is a wasteful number, since it uses less digits than its factorization.

5458500864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17452 (or 17435 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5458500864 is about 73881.6679833367. The cubic root of 5458500864 is about 1760.7233665648.

The spelling of 5458500864 in words is "five billion, four hundred fifty-eight million, five hundred thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 137 144 192 256 274 288 384 411 548 576 768 822 1096 1152 1233 1644 2192 2304 2466 3288 4384 4932 6576 8768 9864 13152 17293 17536 19728 26304 34586 35072 39456 51879 52608 69172 78912 103758 105216 138344 155637 157824 207516 276688 311274 315648 415032 553376 622548 830064 1106752 1245096 1660128 2213504 2369141 2490192 3320256 4427008 4738282 4980384 6640512 7107423 9476564 9960768 13281024 14214846 18953128 19921536 21322269 28429692 37906256 39843072 42644538 56859384 75812512 85289076 113718768 151625024 170578152 227437536 303250048 341156304 454875072 606500096 682312608 909750144 1364625216 1819500288 2729250432 5458500864