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189242309520 = 2432511172292851
BaseRepresentation
bin1011000000111110111…
…0000111101110010000
3200002110121210101102200
42300033232013232100
511100032012401040
6222534155243200
716446413042625
oct2601756075620
9602417711380
10189242309520
1173291394110
1230814a49500
1314acb673954
14923348834c
154dc8cea630
hex2c0fb87b90

189242309520 has 720 divisors, whose sum is σ = 762160950720. Its totient is φ = 41674752000.

The previous prime is 189242309519. The next prime is 189242309539. The reversal of 189242309520 is 25903242981.

189242309520 is a `hidden beast` number, since 1 + 8 + 92 + 4 + 2 + 30 + 9 + 520 = 666.

189242309520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 66376095 + ... + 66378945.

It is an arithmetic number, because the mean of its divisors is an integer number (1058556876).

Almost surely, 2189242309520 is an apocalyptic number.

189242309520 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 189242309520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381080475360).

189242309520 is an abundant number, since it is smaller than the sum of its proper divisors (572918641200).

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

189242309520 is a wasteful number, since it uses less digits than its factorization.

189242309520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2944 (or 2918 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 189242309520 in words is "one hundred eighty-nine billion, two hundred forty-two million, three hundred nine thousand, five hundred twenty".