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35135856001 = 192257378713
BaseRepresentation
bin100000101110010000…
…101001110110000001
310100200200022102100001
4200232100221312001
51033424234343001
624050255200001
72352461563651
oct405620516601
9110620272301
1035135856001
11139a0302724
126986b16001
13340c40ca4c
1419b4592361
15da9969001
hex82e429d81

35135856001 has 12 divisors (see below), whose sum is σ = 37226828772. Its totient is φ = 33156993024.

The previous prime is 35135855983. The next prime is 35135856079. The reversal of 35135856001 is 10065853153.

It can be written as a sum of positive squares in 2 ways, for example, as 28755680625 + 6380175376 = 169575^2 + 79876^2 .

It is not a de Polignac number, because 35135856001 - 231 = 32988372353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (35135826001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 96580 + ... + 282133.

It is an arithmetic number, because the mean of its divisors is an integer number (3102235731).

Almost surely, 235135856001 is an apocalyptic number.

It is an amenable number.

35135856001 is a deficient number, since it is larger than the sum of its proper divisors (2090972771).

35135856001 is a wasteful number, since it uses less digits than its factorization.

35135856001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379008 (or 378989 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 37.

It can be divided in two parts, 35135 and 856001, that added together give a square (891136 = 9442).

The spelling of 35135856001 in words is "thirty-five billion, one hundred thirty-five million, eight hundred fifty-six thousand, one".

Divisors: 1 19 257 361 4883 92777 378713 7195547 97329241 136715393 1849255579 35135856001