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42202716372 = 22323731683721
BaseRepresentation
bin100111010011011110…
…100101100011010100
311000221011212010022100
4213103132211203110
51142412343410442
631215422402100
73022552112265
oct472336454324
9130834763270
1042202716372
11169973734a3
128219730330
133c9752542b
142084d5496c
15117008d84c
hex9d37a58d4

42202716372 has 36 divisors (see below), whose sum is σ = 109562310676. Its totient is φ = 13687367040.

The previous prime is 42202716371. The next prime is 42202716383. The reversal of 42202716372 is 27361720224.

It is a happy number.

42202716372 is a `hidden beast` number, since 422 + 0 + 2 + 7 + 163 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 26115852816 + 16086863556 = 161604^2 + 126834^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42202716371) 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 11 ways as a sum of consecutive naturals, for example, 15840529 + ... + 15843192.

Almost surely, 242202716372 is an apocalyptic number.

It is an amenable number.

42202716372 is an abundant number, since it is smaller than the sum of its proper divisors (67359594304).

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

42202716372 is a wasteful number, since it uses less digits than its factorization.

42202716372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31683768 (or 31683763 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The spelling of 42202716372 in words is "forty-two billion, two hundred two million, seven hundred sixteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 31683721 63367442 95051163 126734884 190102326 285153489 380204652 570306978 1140613956 1172297677 2344595354 3516893031 4689190708 7033786062 10550679093 14067572124 21101358186 42202716372