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20900320358400 = 21236527233747
BaseRepresentation
bin1001100000010001111000…
…01010111011000000000000
32202000001101021001111000000
410300020330022323000000
510214412324002432100
6112241250304000000
74254666264552630
oct460107412730000
982001337044000
1020900320358400
116728859a7693a
122416757000000
13b87b79248212
1452381bdd66c0
152639ea593900
hex13023c2bb000

20900320358400 has 4368 divisors, whose sum is σ = 97195205965824. Its totient is φ = 4351414763520.

The previous prime is 20900320358381. The next prime is 20900320358509. The reversal of 20900320358400 is 485302300902.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 444687667177 + ... + 444687667223.

Almost surely, 220900320358400 is an apocalyptic number.

20900320358400 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 20900320358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48597602982912).

20900320358400 is an abundant number, since it is smaller than the sum of its proper divisors (76294885607424).

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

20900320358400 is an equidigital number, since it uses as much as digits as its factorization.

20900320358400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20900320358400 in words is "twenty trillion, nine hundred billion, three hundred twenty million, three hundred fifty-eight thousand, four hundred".