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42297280563384 = 233372112361725601
BaseRepresentation
bin10011001111000000110100…
…11000100000100010111000
312112202120200012121012022000
421213200122120200202320
521020444312311012014
6225543034043301000
711623610020456500
oct1147403230404270
9175676605535260
1042297280563384
11125281a3210180
1248b15b581a760
131a7a80242a132
14a632b0c58a00
154d53b1784509
hex26781a6208b8

42297280563384 has 768 divisors, whose sum is σ = 155840725785600. Its totient is φ = 10491199488000.

The previous prime is 42297280563383. The next prime is 42297280563413. The reversal of 42297280563384 is 48336508279224.

42297280563384 is a `hidden beast` number, since 4 + 2 + 297 + 2 + 8 + 0 + 5 + 6 + 338 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42297280563383) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1652160184 + ... + 1652185784.

It is an arithmetic number, because the mean of its divisors is an integer number (202917611700).

Almost surely, 242297280563384 is an apocalyptic number.

42297280563384 is a gapful number since it is divisible by the number (44) 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 42297280563384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77920362892800).

42297280563384 is an abundant number, since it is smaller than the sum of its proper divisors (113543445222216).

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

42297280563384 is a wasteful number, since it uses less digits than its factorization.

42297280563384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26281 (or 26264 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 42297280563384 in words is "forty-two trillion, two hundred ninety-seven billion, two hundred eighty million, five hundred sixty-three thousand, three hundred eighty-four".