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23482941990480 = 2435571493313499
BaseRepresentation
bin1010101011011100011000…
…11010100110011001010000
310002010221120121021211100000
411111232030122212121100
511034221031122143410
6121535525320330000
74642405123330230
oct525561432463120
9102127517254300
1023482941990480
117534072611185
122773199913900
13101457cc3a33b
145b281aab7cc0
152aaca28c7dc0
hex155b8c6a6650

23482941990480 has 960 divisors, whose sum is σ = 94406457600000. Its totient is φ = 5313879521280.

The previous prime is 23482941990437. The next prime is 23482941990509. The reversal of 23482941990480 is 8409914928432.

23482941990480 is a `hidden beast` number, since 2 + 3 + 4 + 8 + 29 + 41 + 9 + 90 + 480 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6711327771 + ... + 6711331269.

It is an arithmetic number, because the mean of its divisors is an integer number (98340060000).

Almost surely, 223482941990480 is an apocalyptic number.

23482941990480 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 23482941990480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47203228800000).

23482941990480 is an abundant number, since it is smaller than the sum of its proper divisors (70923515609520).

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

23482941990480 is a wasteful number, since it uses less digits than its factorization.

23482941990480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014 (or 3996 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 23482941990480 in words is "twenty-three trillion, four hundred eighty-two billion, nine hundred forty-one million, nine hundred ninety thousand, four hundred eighty".