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5201097168 = 243316157301
BaseRepresentation
bin1001101100000001…
…00111000111010000
3111102110210010000110
410312000213013100
541122440102133
62220033321320
7242613411411
oct46600470720
914373703013
105201097168
11222997a313
121011a06240
1364b70b3b7
14374a8b808
1520692ac63
hex1360271d0

5201097168 has 80 divisors (see below), whose sum is σ = 14097208832. Its totient is φ = 1650240000.

The previous prime is 5201097101. The next prime is 5201097173. The reversal of 5201097168 is 8617901025.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62118 + ... + 119418.

Almost surely, 25201097168 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 5201097168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7048604416).

5201097168 is an abundant number, since it is smaller than the sum of its proper divisors (8896111664).

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

5201097168 is a wasteful number, since it uses less digits than its factorization.

5201097168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57404 (or 57398 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The square root of 5201097168 is about 72118.6325993498. The cubic root of 5201097168 is about 1732.6000495268.

The spelling of 5201097168 in words is "five billion, two hundred one million, ninety-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 244 248 366 372 488 496 732 744 976 1464 1488 1891 2928 3782 5673 7564 11346 15128 22692 30256 45384 57301 90768 114602 171903 229204 343806 458408 687612 916816 1375224 1776331 2750448 3495361 3552662 5328993 6990722 7105324 10486083 10657986 13981444 14210648 20972166 21315972 27962888 28421296 41944332 42631944 55925776 83888664 85263888 108356191 167777328 216712382 325068573 433424764 650137146 866849528 1300274292 1733699056 2600548584 5201097168