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42297826752 = 2634171925261
BaseRepresentation
bin100111011001001001…
…011001110111000000
311001011210211020020000
4213121021121313000
51143111220424002
631233101120000
73025115411106
oct473111316700
9131153736200
1042297826752
1116a36025315
128245559000
133cb114646c
142093831c76
1511785c961c
hex9d9259dc0

42297826752 has 280 divisors, whose sum is σ = 139752415440. Its totient is φ = 12570992640.

The previous prime is 42297826741. The next prime is 42297826777. The reversal of 42297826752 is 25762879224.

42297826752 is a `hidden beast` number, since 42 + 297 + 8 + 267 + 52 = 666.

It is a super-2 number, since 2×422978267522 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1661802 + ... + 1687062.

Almost surely, 242297826752 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 42297826752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69876207720).

42297826752 is an abundant number, since it is smaller than the sum of its proper divisors (97454588688).

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

42297826752 is a wasteful number, since it uses less digits than its factorization.

42297826752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25321 (or 25302 counting only the distinct ones).

The product of its digits is 6773760, while the sum is 54.

The spelling of 42297826752 in words is "forty-two billion, two hundred ninety-seven million, eight hundred twenty-six thousand, seven hundred fifty-two".