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42735267498982 = 21729714591132967
BaseRepresentation
bin10011011011110000101000…
…11100000100101111100110
312121022110012021021211120111
421231320110130010233212
521100133311434431412
6230520151051323234
712000343524135052
oct1155702434045746
9177273167254514
1042735267498982
1112686a1a440523
12496246a75051a
131aacbc2a4b056
14a7a5800ccc62
154e19980712a7
hex26de14704be6

42735267498982 has 64 divisors (see below), whose sum is σ = 71219107491840. Its totient is φ = 19139445158400.

The previous prime is 42735267498949. The next prime is 42735267499003. The reversal of 42735267498982 is 28989476253724.

42735267498982 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (76) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 42735267498899 and 42735267498908.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321331063 + ... + 321464029.

It is an arithmetic number, because the mean of its divisors is an integer number (1112798554560).

Almost surely, 242735267498982 is an apocalyptic number.

42735267498982 is a deficient number, since it is larger than the sum of its proper divisors (28483839992858).

42735267498982 is a wasteful number, since it uses less digits than its factorization.

42735267498982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137677.

The product of its digits is 2926264320, while the sum is 76.

The spelling of 42735267498982 in words is "forty-two trillion, seven hundred thirty-five billion, two hundred sixty-seven million, four hundred ninety-eight thousand, nine hundred eighty-two".

Divisors: 1 2 17 29 34 58 71 142 493 986 1207 2059 2414 4118 4591 9182 35003 70006 78047 132967 133139 156094 265934 266278 325961 651922 2260439 2263363 3856043 4520878 4526726 5541337 7712086 9440657 9452869 11082674 18881314 18905738 65552731 131105462 160491169 160698773 273779053 320982338 321397546 547558106 610451497 1220902994 4654243901 9308487802 10377675449 17703093413 20755350898 35406186826 43342056287 86684112574 300952588021 601905176042 736814956879 1256919632323 1473629913758 2513839264646 21367633749491 42735267498982