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20230258752000 = 2932531131127811
BaseRepresentation
bin1001001100110001110010…
…11000101111101000000000
32122121222211111221001112200
410212120321120233220000
510122423032220031000
6111005352542153200
74155405446100513
oct446307130575000
978558744831480
1020230258752000
11649a6717334a0
122328914882800
13b3992248319b
144dd214ca0d7a
1525137e9e6500
hex12663962fa00

20230258752000 has 1920 divisors, whose sum is σ = 82801996333056. Its totient is φ = 4702924800000.

The previous prime is 20230258751939. The next prime is 20230258752007. The reversal of 20230258752000 is 25785203202.

It is a happy number.

20230258752000 is a `hidden beast` number, since 2 + 0 + 2 + 30 + 25 + 87 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (20230258752007) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 24944831595 + ... + 24944832405.

Almost surely, 220230258752000 is an apocalyptic number.

20230258752000 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 20230258752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41400998166528).

20230258752000 is an abundant number, since it is smaller than the sum of its proper divisors (62571737581056).

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

20230258752000 is a wasteful number, since it uses less digits than its factorization.

20230258752000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 20230258752000 in words is "twenty trillion, two hundred thirty billion, two hundred fifty-eight million, seven hundred fifty-two thousand".