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123933229056 = 216327132309
BaseRepresentation
bin111001101101011111…
…1110000000000000000
3102211220010020100102200
41303122333300000000
54012303401312211
6132533435113200
711645116031340
oct1633277600000
9384803210380
10123933229056
114861809334a
1220028ba2800
13b8c102ac40
145dd9878d20
15335543bb56
hex1cdaff0000

123933229056 has 408 divisors, whose sum is σ = 440838958560. Its totient is φ = 32671531008.

The previous prime is 123933229037. The next prime is 123933229073. The reversal of 123933229056 is 650922339321.

It is a happy number.

123933229056 is a `hidden beast` number, since 1 + 23 + 9 + 332 + 290 + 5 + 6 = 666.

It is a super-2 number, since 2×1239332290562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53672830 + ... + 53675138.

Almost surely, 2123933229056 is an apocalyptic number.

123933229056 is a gapful number since it is divisible by the number (16) 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 123933229056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220419479280).

123933229056 is an abundant number, since it is smaller than the sum of its proper divisors (316905729504).

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

123933229056 is an equidigital number, since it uses as much as digits as its factorization.

123933229056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2367 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 45.

The spelling of 123933229056 in words is "one hundred twenty-three billion, nine hundred thirty-three million, two hundred twenty-nine thousand, fifty-six".