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19852273800 = 2331052412
BaseRepresentation
bin10010011111010010…
…011010100010001000
31220020112120000000000
4102133102122202020
5311124140230200
613041531043000
71301646354162
oct223722324210
956215500000
1019852273800
118468100157
123a205a0460
131b44bc3998
14d6482d932
157b2cda300
hex49f49a888

19852273800 has 396 divisors, whose sum is σ = 70964244735. Its totient is φ = 5164819200.

The previous prime is 19852273781. The next prime is 19852273801. The reversal of 19852273800 is 837225891.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

19852273800 is a `hidden beast` number, since 1 + 98 + 522 + 7 + 38 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 124947684 + 19727326116 = 11178^2 + 140454^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=99630.

It is a super-2 number, since 2×198522738002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (19852273801) by changing a digit.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 484201780 + ... + 484201820.

Almost surely, 219852273800 is an apocalyptic number.

19852273800 is a gapful number since it is divisible by the number (10) 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 19852273800

19852273800 is an abundant number, since it is smaller than the sum of its proper divisors (51111970935).

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

19852273800 is an frugal number, since it uses more digits than its factorization.

19852273800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 19852273800 in words is "nineteen billion, eight hundred fifty-two million, two hundred seventy-three thousand, eight hundred".