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420268107204 = 2233113737325633
BaseRepresentation
bin1100001110110011110…
…11100110010111000100
31111011210012120220012000
412013121323212113010
523341202113412304
6521022444025300
742235430653401
oct6073173462704
91434705526160
10420268107204
11152264432320
126954ab32230
133082872839a
14164abd192a8
15adeae73939
hex61d9ee65c4

420268107204 has 192 divisors, whose sum is σ = 1224082970880. Its totient is φ = 123574947840.

The previous prime is 420268107191. The next prime is 420268107221. The reversal of 420268107204 is 402701862024.

420268107204 is a `hidden beast` number, since 420 + 26 + 8 + 1 + 0 + 7 + 204 = 666.

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

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, 16382772 + ... + 16408404.

It is an arithmetic number, because the mean of its divisors is an integer number (6375432140).

Almost surely, 2420268107204 is an apocalyptic number.

420268107204 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 420268107204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612041485440).

420268107204 is an abundant number, since it is smaller than the sum of its proper divisors (803814863676).

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

420268107204 is a wasteful number, since it uses less digits than its factorization.

420268107204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26067 (or 26059 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

Adding to 420268107204 its reverse (402701862024), we get a palindrome (822969969228).

The spelling of 420268107204 in words is "four hundred twenty billion, two hundred sixty-eight million, one hundred seven thousand, two hundred four".