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35061545442 = 23711457166063
BaseRepresentation
bin100000101001110101…
…001011100111100010
310100111111111001102010
4200221311023213202
51033301223423232
624035042333350
72350600135050
oct405165134742
9110444431363
1035061545442
1113962368040
12696605a256
1333c9bc21c1
1419a876b1d0
15da318b0cc
hex829d4b9e2

35061545442 has 64 divisors (see below), whose sum is σ = 87618023424. Its totient is φ = 9086912640.

The previous prime is 35061545401. The next prime is 35061545459. The reversal of 35061545442 is 24454516053.

It is a self number, because there is not a number n which added to its sum of digits gives 35061545442.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128103 + ... + 294165.

It is an arithmetic number, because the mean of its divisors is an integer number (1369031616).

Almost surely, 235061545442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35061545442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43809011712).

35061545442 is an abundant number, since it is smaller than the sum of its proper divisors (52556477982).

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

35061545442 is a wasteful number, since it uses less digits than its factorization.

35061545442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166543.

The product of its (nonzero) digits is 288000, while the sum is 39.

It can be divided in two parts, 35061 and 545442, that added together give a triangular number (580503 = T1077).

The spelling of 35061545442 in words is "thirty-five billion, sixty-one million, five hundred forty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 457 462 914 1371 2742 3199 5027 6398 9597 10054 15081 19194 30162 35189 70378 105567 166063 211134 332126 498189 996378 1162441 1826693 2324882 3487323 3653386 5480079 6974646 10960158 12786851 25573702 38360553 75890791 76721106 151781582 227672373 455344746 531235537 834798701 1062471074 1593706611 1669597402 2504396103 3187413222 5008792206 5843590907 11687181814 17530772721 35061545442