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35140750848 = 2932731113311
BaseRepresentation
bin100000101110100011…
…010100111000000000
310100201000112002210200
4200232203110320000
51033432013011343
624050552125200
72352551311440
oct405643247000
9110630462720
1035140750848
11139a3046255
126988696800
1334104349c8
1419b50a8120
15daa0d44d3
hex82e8d4e00

35140750848 has 480 divisors, whose sum is σ = 121092820992. Its totient is φ = 9599385600.

The previous prime is 35140750837. The next prime is 35140750867. The reversal of 35140750848 is 84805704153.

35140750848 is a `hidden beast` number, since 3 + 514 + 0 + 7 + 50 + 84 + 8 = 666.

It is a super-2 number, since 2×351407508482 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112992613 + ... + 112992923.

Almost surely, 235140750848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35140750848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60546410496).

35140750848 is an abundant number, since it is smaller than the sum of its proper divisors (85952070144).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35140750848 is a wasteful number, since it uses less digits than its factorization.

35140750848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 35140750848 in words is "thirty-five billion, one hundred forty million, seven hundred fifty thousand, eight hundred forty-eight".