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20257135056432 = 2432140674549003
BaseRepresentation
bin1001001101100011110110…
…10101101101011000110000
32122201120012120102210011100
410212301323111231120300
510123343103033301212
6111025555510444400
74160346455651301
oct446617325553060
978646176383140
1020257135056432
11650000370083a
122331b75663700
13b3c3166449c1
145006445047a8
15251e04295bdc
hex126c7b56d630

20257135056432 has 30 divisors (see below), whose sum is σ = 56691843248612. Its totient is φ = 6752378352096.

The previous prime is 20257135056409. The next prime is 20257135056451. The reversal of 20257135056432 is 23465053175202.

20257135056432 is a `hidden beast` number, since 2 + 0 + 2 + 5 + 7 + 1 + 3 + 50 + 564 + 32 = 666.

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 5 ways as a sum of consecutive naturals, for example, 70337274358 + ... + 70337274645.

Almost surely, 220257135056432 is an apocalyptic number.

It is an amenable number.

20257135056432 is an abundant number, since it is smaller than the sum of its proper divisors (36434708192180).

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

20257135056432 is a wasteful number, since it uses less digits than its factorization.

20257135056432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140674549017 (or 140674549008 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

It can be divided in two parts, 202571 and 35056432, that added together give a triangular number (35259003 = T8397).

The spelling of 20257135056432 in words is "twenty trillion, two hundred fifty-seven billion, one hundred thirty-five million, fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 140674549003 281349098006 422023647009 562698196012 844047294018 1125396392024 1266070941027 1688094588036 2250792784048 2532141882054 3376189176072 5064283764108 6752378352144 10128567528216 20257135056432