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23988224000000 = 21756131753
BaseRepresentation
bin1010111010001001100011…
…00100100000000000000000
310010221020210120112102110202
411131010301210200000000
511121010340321000000
6123004012111344332
75024043360464351
oct535046144400000
9103836716472422
1023988224000000
1177093920925a7
1228350b38220a8
131050106485c20
145cd07160bd28
152b8ec70badd5
hex15d131920000

23988224000000 has 1008 divisors, whose sum is σ = 69671802408264. Its totient is φ = 8178892800000.

The previous prime is 23988223999979. The next prime is 23988224000021. The reversal of 23988224000000 is 42288932.

It is an interprime number because it is at equal distance from previous prime (23988223999979) and next prime (23988224000021).

It can be written as a sum of positive squares in 28 ways, for example, as 23960790040576 + 27433959424 = 4894976^2 + 165632^2 .

It is an unprimeable number.

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 55 ways as a sum of consecutive naturals, for example, 452607999974 + ... + 452608000026.

Almost surely, 223988224000000 is an apocalyptic number.

23988224000000 is a gapful number since it is divisible by the number (20) 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 23988224000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34835901204132).

23988224000000 is an abundant number, since it is smaller than the sum of its proper divisors (45683578408264).

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

23988224000000 is an frugal number, since it uses more digits than its factorization.

23988224000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

Adding to 23988224000000 its reverse (42288932), we get a palindrome (23988266288932).

The spelling of 23988224000000 in words is "twenty-three trillion, nine hundred eighty-eight billion, two hundred twenty-four million", and thus it is an aban number.