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35142741968 = 2441462111593
BaseRepresentation
bin100000101110101010…
…111010111111010000
310100201011021021002212
4200232222322333100
51033433020220333
624051102531252
72352604243445
oct405652727720
9110634237085
1035142741968
11139a4186204
126989296b28
133410981099
1419b54659cc
15daa379448
hex82eabafd0

35142741968 has 40 divisors (see below), whose sum is σ = 69770883336. Its totient is φ = 17137612800.

The previous prime is 35142741961. The next prime is 35142741983. The reversal of 35142741968 is 86914724153.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3632231824 + 31510510144 = 60268^2 + 177512^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35142741961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3025580 + ... + 3037172.

Almost surely, 235142741968 is an apocalyptic number.

It is an amenable number.

35142741968 is a deficient number, since it is larger than the sum of its proper divisors (34628141368).

35142741968 is a wasteful number, since it uses less digits than its factorization.

35142741968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16263 (or 16257 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 50.

The spelling of 35142741968 in words is "thirty-five billion, one hundred forty-two million, seven hundred forty-one thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 41 82 164 328 656 4621 9242 11593 18484 23186 36968 46372 73936 92744 185488 189461 378922 475313 757844 950626 1515688 1901252 3031376 3802504 7605008 53571253 107142506 214285012 428570024 857140048 2196421373 4392842746 8785685492 17571370984 35142741968