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42043289652 = 22337136196911
BaseRepresentation
bin100111001001111110…
…011011000000110100
311000112001212101222000
4213021332123000310
51142101040232102
631151525335300
73015605031330
oct471176330064
9130461771860
1042043289652
1116915382881
128194267530
133c704a58b0
14206bad47c0
15116109b01c
hex9c9f9b034

42043289652 has 192 divisors, whose sum is σ = 134391398400. Its totient is φ = 11068824960.

The previous prime is 42043289641. The next prime is 42043289693. The reversal of 42043289652 is 25698234024.

42043289652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420432896522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42043289598 and 42043289607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6080077 + ... + 6086987.

It is an arithmetic number, because the mean of its divisors is an integer number (699955200).

Almost surely, 242043289652 is an apocalyptic number.

42043289652 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42043289652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67195699200).

42043289652 is an abundant number, since it is smaller than the sum of its proper divisors (92348108748).

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

42043289652 is a wasteful number, since it uses less digits than its factorization.

42043289652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7563 (or 7555 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 42043289652 in words is "forty-two billion, forty-three million, two hundred eighty-nine thousand, six hundred fifty-two".