Search a number
-
+
35918142093 = 34769576637
BaseRepresentation
bin100001011100111000…
…110101101010001101
310102201012022200010000
4201130320311222031
51042030021021333
624300042234513
72411041112301
oct413470655215
9112635280100
1035918142093
1114261944859
126b64ab5a39
1335054ccc22
141a4a429d01
15e03492713
hex85ce35a8d

35918142093 has 20 divisors (see below), whose sum is σ = 53725362460. Its totient is φ = 23914248192.

The previous prime is 35918142053. The next prime is 35918142107. The reversal of 35918142093 is 39024181953.

It is a happy number.

35918142093 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 22140547209 + 13777594884 = 148797^2 + 117378^2 .

It is not a de Polignac number, because 35918142093 - 210 = 35918141069 is a prime.

It is a super-2 number, since 2×359181420932 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35918142023) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 226030 + ... + 350607.

It is an arithmetic number, because the mean of its divisors is an integer number (2686268123).

Almost surely, 235918142093 is an apocalyptic number.

It is an amenable number.

35918142093 is a deficient number, since it is larger than the sum of its proper divisors (17807220367).

35918142093 is an equidigital number, since it uses as much as digits as its factorization.

35918142093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577418 (or 577409 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 35918142093 in words is "thirty-five billion, nine hundred eighteen million, one hundred forty-two thousand, ninety-three".

Divisors: 1 3 9 27 81 769 2307 6921 20763 62289 576637 1729911 5189733 15569199 46707597 443433853 1330301559 3990904677 11972714031 35918142093