Search a number
-
+
5374251378 = 2321747433863
BaseRepresentation
bin1010000000101010…
…01001000101110010
3111212112121020221100
411000111021011302
542001302021003
62245140505230
7250115245236
oct50025110562
914775536840
105374251378
112308696671
12105b9ab216
13678556302
1438da825c6
15216c30ba3
hex140549172

5374251378 has 96 divisors (see below), whose sum is σ = 12635191296. Its totient is φ = 1644447744.

The previous prime is 5374251373. The next prime is 5374251391. The reversal of 5374251378 is 8731524735.

5374251378 is a `hidden beast` number, since 537 + 42 + 5 + 1 + 3 + 78 = 666.

It is not an unprimeable number, because it can be changed into a prime (5374251373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6226975 + ... + 6227837.

It is an arithmetic number, because the mean of its divisors is an integer number (131616576).

Almost surely, 25374251378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5374251378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6317595648).

5374251378 is an abundant number, since it is smaller than the sum of its proper divisors (7260939918).

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

5374251378 is a wasteful number, since it uses less digits than its factorization.

5374251378 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1368 (or 1365 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 5374251378 is about 73309.2857556258. The cubic root of 5374251378 is about 1751.6177017396.

The spelling of 5374251378 in words is "five billion, three hundred seventy-four million, two hundred fifty-one thousand, three hundred seventy-eight".

Divisors: 1 2 3 6 9 17 18 34 47 51 94 102 141 153 282 306 423 433 799 846 863 866 1299 1598 1726 2397 2589 2598 3897 4794 5178 7191 7361 7767 7794 14382 14671 14722 15534 20351 22083 29342 40561 40702 44013 44166 61053 66249 81122 88026 121683 122106 132039 132498 183159 243366 264078 345967 365049 366318 373679 689537 691934 730098 747358 1037901 1121037 1379074 2068611 2075802 2242074 3113703 3363111 4137222 6205833 6227406 6352543 6726222 12411666 12705086 17562913 19057629 35125826 38115258 52688739 57172887 105377478 114345774 158066217 298569521 316132434 597139042 895708563 1791417126 2687125689 5374251378