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20145194232984 = 23322115713224671
BaseRepresentation
bin1001001010010011010110…
…01001010110110010011000
32122022212021020000202112100
410211021223021112302120
510120024324210423414
6110502324030243400
74146304456443402
oct445115311266230
978285236022470
1020145194232984
11646758aa62307
122314334956560
13b318b701c972
144d906566bb72
1524e051ac9609
hex12526b256c98

20145194232984 has 48 divisors (see below), whose sum is σ = 54562483984320. Its totient is φ = 6714746844480.

The previous prime is 20145194232959. The next prime is 20145194233027. The reversal of 20145194232984 is 48923249154102.

20145194232984 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 519 + 4 + 2 + 32 + 98 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20145194232984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5089032 + ... + 8135639.

It is an arithmetic number, because the mean of its divisors is an integer number (1136718416340).

Almost surely, 220145194232984 is an apocalyptic number.

20145194232984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20145194232984 is an abundant number, since it is smaller than the sum of its proper divisors (34417289751336).

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

20145194232984 is a wasteful number, since it uses less digits than its factorization.

20145194232984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13245840 (or 13245833 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 20145194232984 in words is "twenty trillion, one hundred forty-five billion, one hundred ninety-four million, two hundred thirty-two thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 21157 42314 63471 84628 126942 169256 190413 253884 380826 507768 761652 1523304 13224671 26449342 39674013 52898684 79348026 105797368 119022039 158696052 238044078 317392104 476088156 952176312 279794364347 559588728694 839383093041 1119177457388 1678766186082 2238354914776 2518149279123 3357532372164 5036298558246 6715064744328 10072597116492 20145194232984