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20235380370075 = 33521323711412141
BaseRepresentation
bin1001001100111011010101…
…01010001010101010011011
32122122111001110011012202000
410212131222222022222123
510123014024333320300
6111012001100212043
74155646406115603
oct446355252125233
978574043135660
1020235380370075
1164a185a757a02
122329903b3a023
13b3a25a584320
144dd57d17dc03
1525157e472c00
hex12676aa8aa9b

20235380370075 has 192 divisors, whose sum is σ = 42361548687360. Its totient is φ = 9394684992000.

The previous prime is 20235380370067. The next prime is 20235380370091. The reversal of 20235380370075 is 57007308353202.

20235380370075 is a `hidden beast` number, since 2 + 0 + 235 + 380 + 37 + 0 + 0 + 7 + 5 = 666.

It is not a de Polignac number, because 20235380370075 - 23 = 20235380370067 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 20235380370075.

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, 13623505 + ... + 15035645.

It is an arithmetic number, because the mean of its divisors is an integer number (220633066080).

Almost surely, 220235380370075 is an apocalyptic number.

20235380370075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20235380370075 is an abundant number, since it is smaller than the sum of its proper divisors (22126168317285).

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

20235380370075 is a wasteful number, since it uses less digits than its factorization.

20235380370075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412267 (or 1412256 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 20235380370075 in words is "twenty trillion, two hundred thirty-five billion, three hundred eighty million, three hundred seventy thousand, seventy-five".