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20329753500 = 223253731109191
BaseRepresentation
bin10010111011101111…
…110110101110011100
31221110211000111000100
4102323233312232130
5313113404103000
613201145101100
71316535024240
oct227357665634
957424014010
1020329753500
118692685781
123b34487790
131bbcac2454
14dac002420
157deba5a00
hex4bbbf6b9c

20329753500 has 576 divisors, whose sum is σ = 76753797120. Its totient is φ = 4432320000.

The previous prime is 20329753481. The next prime is 20329753523. The reversal of 20329753500 is 535792302.

20329753500 is a `hidden beast` number, since 2 + 0 + 32 + 97 + 535 + 0 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 106438405 + ... + 106438595.

It is an arithmetic number, because the mean of its divisors is an integer number (133253120).

Almost surely, 220329753500 is an apocalyptic number.

20329753500 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 20329753500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38376898560).

20329753500 is an abundant number, since it is smaller than the sum of its proper divisors (56424043620).

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

20329753500 is a wasteful number, since it uses less digits than its factorization.

20329753500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The spelling of 20329753500 in words is "twenty billion, three hundred twenty-nine million, seven hundred fifty-three thousand, five hundred".