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20123322387480 = 2332513193771277311
BaseRepresentation
bin1001001001101010100110…
…11110111000110000011000
32122020202210221021212222100
410210311103132320300120
510114200031012344410
6110444305432523400
74144601455021104
oct444652336706030
978222727255870
1020123322387480
116459286968034
12231004bb50560
13b2c80c8bb450
144d7d8c92a904
1524d6c18628c0
hex124d537b8c18

20123322387480 has 1536 divisors, whose sum is σ = 77742656409600. Its totient is φ = 4470913843200.

The previous prime is 20123322387431. The next prime is 20123322387481. The reversal of 20123322387480 is 8478322332102.

20123322387480 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 332 + 238 + 7 + 4 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20123322387481) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 64705216525 + ... + 64705216835.

It is an arithmetic number, because the mean of its divisors is an integer number (50613708600).

Almost surely, 220123322387480 is an apocalyptic number.

20123322387480 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 20123322387480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38871328204800).

20123322387480 is an abundant number, since it is smaller than the sum of its proper divisors (57619334022120).

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

20123322387480 is a wasteful number, since it uses less digits than its factorization.

20123322387480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 20123322387480 in words is "twenty trillion, one hundred twenty-three billion, three hundred twenty-two million, three hundred eighty-seven thousand, four hundred eighty".