Search a number
-
+
5410212816 = 243373738167
BaseRepresentation
bin1010000100111100…
…10100101111010000
3111222001021021202110
411002132110233100
542040003302231
62252503345320
7251033023131
oct50236245720
914861237673
105410212816
112326a18a68
12106ba52240
13682b37878
14394763c88
15219e86046
hex142794bd0

5410212816 has 80 divisors (see below), whose sum is σ = 14394368384. Its totient is φ = 1749745152.

The previous prime is 5410212799. The next prime is 5410212833. The reversal of 5410212816 is 6182120145.

It is an interprime number because it is at equal distance from previous prime (5410212799) and next prime (5410212833).

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, 658365 + ... + 666531.

Almost surely, 25410212816 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 5410212816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7197184192).

5410212816 is an abundant number, since it is smaller than the sum of its proper divisors (8984155568).

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

5410212816 is a wasteful number, since it uses less digits than its factorization.

5410212816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8588 (or 8582 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 5410212816 is about 73554.1488700671. The cubic root of 5410212816 is about 1755.5159632605.

The spelling of 5410212816 in words is "five billion, four hundred ten million, two hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 373 444 592 746 888 1119 1492 1776 2238 2984 4476 5968 8167 8952 13801 16334 17904 24501 27602 32668 41403 49002 55204 65336 82806 98004 110408 130672 165612 196008 220816 302179 331224 392016 604358 662448 906537 1208716 1813074 2417432 3046291 3626148 4834864 6092582 7252296 9138873 12185164 14504592 18277746 24370328 36555492 48740656 73110984 112712767 146221968 225425534 338138301 450851068 676276602 901702136 1352553204 1803404272 2705106408 5410212816