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64146199441 = 233210872
BaseRepresentation
bin111011101111011010…
…010101001110010001
320010120110101120010111
4323233122111032101
52022332411340231
645245055401321
74430413461502
oct735732251621
9203513346114
1064146199441
1125227948075
1210522523241
13608374993c
1431673c2ba9
151a067564b1
hexeef695391

64146199441 has 9 divisors (see below), whose sum is σ = 64482007611. Its totient is φ = 63812134992.

The previous prime is 64146199417. The next prime is 64146199463. The reversal of 64146199441 is 14499164146.

It is a happy number.

The square root of 64146199441 is 253271.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13026798225 + 51119401216 = 114135^2 + 226096^2 .

It is not a de Polignac number, because 64146199441 - 221 = 64144102289 is a prime.

It is a super-2 number, since 2×641461994412 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64146199141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 59011600 + ... + 59012686.

Almost surely, 264146199441 is an apocalyptic number.

64146199441 is the 253271-st square number.

64146199441 is the 126636-th centered octagonal number.

It is an amenable number.

64146199441 is a deficient number, since it is larger than the sum of its proper divisors (335808170).

64146199441 is an frugal number, since it uses more digits than its factorization.

64146199441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640 (or 1320 counting only the distinct ones).

The product of its digits is 746496, while the sum is 49.

Multiplying 64146199441 by its sum of digits (49), we get a square (3143163772609 = 17728972).

The spelling of 64146199441 in words is "sixty-four billion, one hundred forty-six million, one hundred ninety-nine thousand, four hundred forty-one".

Divisors: 1 233 1087 54289 253271 1181569 59012143 275305577 64146199441