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20803295237400 = 23345213521189599
BaseRepresentation
bin1001011101011101001010…
…00001011101010100011000
32201122202221102011122120000
410232232211001131110120
510211320122040044100
6112124522450533000
74244663022622014
oct456564501352430
981582842148500
1020803295237400
1166a069a903425
1223bb999597160
13b7b985b65a10
1451cc560bd544
1526121c5d9900
hex12eba505d518

20803295237400 has 480 divisors, whose sum is σ = 77960603952000. Its totient is φ = 5110955366400.

The previous prime is 20803295237393. The next prime is 20803295237419. The reversal of 20803295237400 is 473259230802.

20803295237400 is a `hidden beast` number, since 2 + 0 + 8 + 0 + 3 + 2 + 9 + 5 + 237 + 400 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 109627801 + ... + 109817399.

It is an arithmetic number, because the mean of its divisors is an integer number (162417924900).

Almost surely, 220803295237400 is an apocalyptic number.

20803295237400 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 20803295237400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38980301976000).

20803295237400 is an abundant number, since it is smaller than the sum of its proper divisors (57157308714600).

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

20803295237400 is a wasteful number, since it uses less digits than its factorization.

20803295237400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190161 (or 190143 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 20803295237400 in words is "twenty trillion, eight hundred three billion, two hundred ninety-five million, two hundred thirty-seven thousand, four hundred".