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19152970200 = 233252713116929
BaseRepresentation
bin10001110101100110…
…110010000111011000
31211102210200200210200
4101311212302013120
5303211130021300
612444310342200
71245425363160
oct216546620730
954383620720
1019152970200
118139396aa1
12386635a960
131a63069580
14cd99d75a0
15771704200
hex4759b21d8

19152970200 has 288 divisors, whose sum is σ = 79166287200. Its totient is φ = 4041031680.

The previous prime is 19152970189. The next prime is 19152970217. The reversal of 19152970200 is 207925191.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 105336 + ... + 222264.

Almost surely, 219152970200 is an apocalyptic number.

19152970200 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 19152970200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39583143600).

19152970200 is an abundant number, since it is smaller than the sum of its proper divisors (60013317000).

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

19152970200 is a wasteful number, since it uses less digits than its factorization.

19152970200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116971 (or 116959 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 19152970200 in words is "nineteen billion, one hundred fifty-two million, nine hundred seventy thousand, two hundred".