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5742332475 = 3521119379901
BaseRepresentation
bin1010101100100010…
…10000101000111011
3112211012012201021120
411112101100220323
543230014114400
62345450040323
7262205010045
oct52621205073
915735181246
105742332475
112487440420
1211431190a3
137068a0389
143c68d8a95
152391dbca0
hex156450a3b

5742332475 has 96 divisors (see below), whose sum is σ = 11197973760. Its totient is φ = 2566080000.

The previous prime is 5742332383. The next prime is 5742332483.

5742332475 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 5742332475 - 27 = 5742332347 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 575025 + ... + 584925.

It is an arithmetic number, because the mean of its divisors is an integer number (116645560).

Almost surely, 25742332475 is an apocalyptic number.

5742332475 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5742332475 is a deficient number, since it is larger than the sum of its proper divisors (5455641285).

5742332475 is a wasteful number, since it uses less digits than its factorization.

5742332475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9981 (or 9976 counting only the distinct ones).

The product of its digits is 705600, while the sum is 42.

The square root of 5742332475 is about 75778.1794120181. The cubic root of 5742332475 is about 1790.7272592813.

It can be divided in two parts, 57423 and 32475, that added together give a palindrome (89898).

The spelling of 5742332475 in words is "five billion, seven hundred forty-two million, three hundred thirty-two thousand, four hundred seventy-five".

Divisors: 1 3 5 11 15 19 25 33 37 55 57 75 95 111 165 185 209 275 285 407 475 555 627 703 825 925 1045 1221 1425 2035 2109 2775 3135 3515 5225 6105 7733 9901 10175 10545 15675 17575 23199 29703 30525 38665 49505 52725 108911 115995 148515 188119 193325 247525 326733 366337 544555 564357 579975 742575 940595 1099011 1633665 1831685 2069309 2722775 2821785 4029707 4702975 5495055 6207927 6960403 8168325 9158425 10346545 12089121 14108925 20148535 20881209 27475275 31039635 34802015 51732725 60445605 76564433 100742675 104406045 155198175 174010075 229693299 302228025 382822165 522030225 1148466495 1914110825 5742332475