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42006534332 = 2271985392567
BaseRepresentation
bin100111000111110010…
…001101100010111100
311000102111201001010212
4213013302031202330
51142012133044312
631144133451552
73014650436060
oct470762154274
9130374631125
1042006534332
11168a6658a84
128183aa0bb8
133c659a6b99
142066c87aa0
15115cc3a822
hex9c7c8d8bc

42006534332 has 48 divisors (see below), whose sum is σ = 88539440640. Its totient is φ = 17035106112.

The previous prime is 42006534329. The next prime is 42006534373. The reversal of 42006534332 is 23343560024.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 407513 + ... + 500079.

It is an arithmetic number, because the mean of its divisors is an integer number (1844571680).

Almost surely, 242006534332 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 42006534332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44269720320).

42006534332 is an abundant number, since it is smaller than the sum of its proper divisors (46532906308).

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

42006534332 is a wasteful number, since it uses less digits than its factorization.

42006534332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93450 (or 93448 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 32.

The spelling of 42006534332 in words is "forty-two billion, six million, five hundred thirty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 532 853 1706 3412 5971 11942 16207 23884 32414 64828 92567 113449 185134 226898 370268 453796 647969 1295938 1758773 2591876 3517546 7035092 12311411 24622822 49245644 78959651 157919302 315838604 552717557 1105435114 1500233369 2210870228 3000466738 6000933476 10501633583 21003267166 42006534332