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20924456332032 = 2832112633139231
BaseRepresentation
bin1001100000111110110101…
…10010010110101100000000
32202002100200100010222110100
410300133122302112230000
510220311241310111112
6112300321301402400
74256512351133661
oct460373262265400
982070610128410
1020924456332032
116738015111090
12241b372109400
13b8a224772016
14524a6b709368
1526445e4932dc
hex1307dac96b00

20924456332032 has 216 divisors, whose sum is σ = 66065212781568. Its totient is φ = 6316633036800.

The previous prime is 20924456332019. The next prime is 20924456332061. The reversal of 20924456332032 is 23023365442902.

20924456332032 is a `hidden beast` number, since 2 + 0 + 9 + 2 + 4 + 4 + 5 + 633 + 2 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×209244563320322 (a number of 27 digits) contains 22 as substring.

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, 5095857 + ... + 8235087.

Almost surely, 220924456332032 is an apocalyptic number.

20924456332032 is a gapful number since it is divisible by the number (22) 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 20924456332032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33032606390784).

20924456332032 is an abundant number, since it is smaller than the sum of its proper divisors (45140756449536).

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

20924456332032 is a wasteful number, since it uses less digits than its factorization.

20924456332032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3139527 (or 3139510 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 20924456332032 in words is "twenty trillion, nine hundred twenty-four billion, four hundred fifty-six million, three hundred thirty-two thousand, thirty-two".