Search a number
-
+
5374440512 = 267107191587
BaseRepresentation
bin1010000000101011…
…10111010001000000
3111212112221212101022
411000111313101000
542001324044022
62245144525012
7250116663530
oct50025672100
914775855338
105374440512
112308805781
12105ba80768
136785c141c
1438dad14c0
15216c6bc42
hex140577440

5374440512 has 112 divisors (see below), whose sum is σ = 12387852288. Its totient is φ = 2265991680.

The previous prime is 5374440431. The next prime is 5374440523. The reversal of 5374440512 is 2150444735.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×53744405122 = 57769221634053644288, which contains 22 as substring.

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, 9155483 + ... + 9156069.

It is an arithmetic number, because the mean of its divisors is an integer number (110605824).

Almost surely, 25374440512 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 5374440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6193926144).

5374440512 is an abundant number, since it is smaller than the sum of its proper divisors (7013411776).

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

5374440512 is a wasteful number, since it uses less digits than its factorization.

5374440512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 35.

The square root of 5374440512 is about 73310.5757172865. The cubic root of 5374440512 is about 1751.6382495054.

The spelling of 5374440512 in words is "five billion, three hundred seventy-four million, four hundred forty thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 107 112 191 214 224 382 428 448 587 749 764 856 1174 1337 1498 1528 1712 2348 2674 2996 3056 3424 4109 4696 5348 5992 6112 6848 8218 9392 10696 11984 12224 16436 18784 20437 21392 23968 32872 37568 40874 42784 47936 62809 65744 81748 85568 112117 125618 131488 143059 163496 224234 251236 262976 286118 326992 439663 448468 502472 572236 653984 784819 879326 896936 1004944 1144472 1307968 1569638 1758652 1793872 2009888 2288944 3139276 3517304 3587744 4019776 4577888 6278552 7034608 7175488 9155776 11996519 12557104 14069216 23993038 25114208 28138432 47986076 50228416 83975633 95972152 167951266 191944304 335902532 383888608 671805064 767777216 1343610128 2687220256 5374440512