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18353426472 = 2338232661
BaseRepresentation
bin10001000101111100…
…110001000000101000
31202101002012200000000
4101011330301000220
5300041434121342
612233105343000
71216546356663
oct210574610050
952332180000
1018353426472
117869037a57
123682637a60
131966516284
14c6174a6da
1572641c44c
hex445f31028

18353426472 has 216 divisors, whose sum is σ = 54039784890. Its totient is φ = 5842964160.

The previous prime is 18353426467. The next prime is 18353426477. The reversal of 18353426472 is 27462435381.

18353426472 is a `hidden beast` number, since 183 + 5 + 3 + 426 + 47 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (18353426467) and next prime (18353426477).

It can be written as a sum of positive squares in only one way, i.e., 13341636036 + 5011790436 = 115506^2 + 70794^2 .

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×183534264722 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18353426477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 27765822 + ... + 27766482.

Almost surely, 218353426472 is an apocalyptic number.

18353426472 is a gapful number since it is divisible by the number (12) 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 18353426472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27019892445).

18353426472 is an abundant number, since it is smaller than the sum of its proper divisors (35686358418).

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

18353426472 is an frugal number, since it uses more digits than its factorization.

18353426472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 689 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 18353426472 in words is "eighteen billion, three hundred fifty-three million, four hundred twenty-six thousand, four hundred seventy-two".