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23778451112 = 23138912891993
BaseRepresentation
bin10110001001010011…
…100101111010101000
32021101011100110202112
4112021103211322220
5342144240413422
614531302421452
71501152333233
oct261123457250
967334313675
1023778451112
11a0a2352299
124737431888
13231c438920
14121804841a
1594282bee2
hex5894e5ea8

23778451112 has 64 divisors (see below), whose sum is σ = 48615714000. Its totient is φ = 10837499904.

The previous prime is 23778450989. The next prime is 23778451121. The reversal of 23778451112 is 21115487732.

It can be written as a sum of positive squares in 8 ways, for example, as 10167495556 + 13610955556 = 100834^2 + 116666^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 23778451112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11929988 + ... + 11931980.

Almost surely, 223778451112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23778451112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24307857000).

23778451112 is an abundant number, since it is smaller than the sum of its proper divisors (24837262888).

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

23778451112 is a wasteful number, since it uses less digits than its factorization.

23778451112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3390 (or 3386 counting only the distinct ones).

The product of its digits is 94080, while the sum is 41.

The spelling of 23778451112 in words is "twenty-three billion, seven hundred seventy-eight million, four hundred fifty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 13 26 52 89 104 178 356 712 1157 1289 1993 2314 2578 3986 4628 5156 7972 9256 10312 15944 16757 25909 33514 51818 67028 103636 114721 134056 177377 207272 229442 354754 458884 709508 917768 1419016 1491373 2305901 2568977 2982746 4611802 5137954 5965492 9223604 10275908 11930984 18447208 20551816 33396701 66793402 133586804 228638953 267173608 457277906 914555812 1829111624 2972306389 5944612778 11889225556 23778451112