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19133021952 = 2832114118413
BaseRepresentation
bin10001110100011010…
…101011111100000000
31211101102011012221200
4101310122223330000
5303141023200302
612442315021200
71245064001052
oct216432537400
954342135850
1019133021952
118129101640
12385b73a800
131a5bba3885
14cd70c38d2
1576eab381c
hex4746abf00

19133021952 has 216 divisors, whose sum is σ = 61651397808. Its totient is φ = 5656166400.

The previous prime is 19133021881. The next prime is 19133021959. The reversal of 19133021952 is 25912033191.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19133021959) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1029898 + ... + 1048310.

It is an arithmetic number, because the mean of its divisors is an integer number (285423138).

Almost surely, 219133021952 is an apocalyptic number.

19133021952 is a gapful number since it is divisible by the number (12) 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 19133021952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30825698904).

19133021952 is an abundant number, since it is smaller than the sum of its proper divisors (42518375856).

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

19133021952 is a wasteful number, since it uses less digits than its factorization.

19133021952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18487 (or 18470 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The spelling of 19133021952 in words is "nineteen billion, one hundred thirty-three million, twenty-one thousand, nine hundred fifty-two".