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20193845882157 = 3230414877151289
BaseRepresentation
bin1001001011101101111110…
…00000101010110100101101
32122111111211211200121112200
410211312333000222310231
510121323444021212112
6110540531424052113
74152646216600233
oct445667700526455
978444754617480
1020193845882157
116486186603432
122321852164039
13b3636b625b5c
144db55cc92953
1525044cdcccdc
hex125dbf02ad2d

20193845882157 has 24 divisors (see below), whose sum is σ = 29184656150520. Its totient is φ = 13455288453120.

The previous prime is 20193845882123. The next prime is 20193845882167. The reversal of 20193845882157 is 75128854839102.

20193845882157 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 38 + 4 + 588 + 2 + 15 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9880171439076 + 10313674443081 = 3143274^2 + 3211491^2 .

It is not a de Polignac number, because 20193845882157 - 220 = 20193844833581 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20193845882094 and 20193845882103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20193845882117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 133402969 + ... + 133554257.

It is an arithmetic number, because the mean of its divisors is an integer number (1216027339605).

Almost surely, 220193845882157 is an apocalyptic number.

It is an amenable number.

20193845882157 is a deficient number, since it is larger than the sum of its proper divisors (8990810268363).

20193845882157 is a wasteful number, since it uses less digits than its factorization.

20193845882157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159213 (or 159210 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 63.

The spelling of 20193845882157 in words is "twenty trillion, one hundred ninety-three billion, eight hundred forty-five million, eight hundred eighty-two thousand, one hundred fifty-seven".

Divisors: 1 3 9 3041 4877 9123 14631 27369 43893 151289 453867 1361601 14830957 44492871 133478613 460069849 737836453 1380209547 2213509359 4140628641 6640528077 2243760653573 6731281960719 20193845882157