Search a number
-
+
20391765750 = 2325310784701
BaseRepresentation
bin10010111111011100…
…011010011011110110
31221122010201000211100
4102333130122123312
5313230243001000
613211242150530
71321220102046
oct227734323366
957563630740
1020391765750
118714690474
123b511b2446
131bcc8c52a5
14db6345726
157e5354a00
hex4bf71a6f6

20391765750 has 96 divisors (see below), whose sum is σ = 55655312544. Its totient is φ = 5386920000.

The previous prime is 20391765749. The next prime is 20391765763. The reversal of 20391765750 is 5756719302.

20391765750 is a `hidden beast` number, since 2 + 0 + 3 + 9 + 1 + 76 + 575 + 0 = 666.

It is a super-2 number, since 2×203917657502 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 20391765696 and 20391765705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198400 + ... + 283100.

It is an arithmetic number, because the mean of its divisors is an integer number (579742839).

Almost surely, 220391765750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20391765750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27827656272).

20391765750 is an abundant number, since it is smaller than the sum of its proper divisors (35263546794).

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

20391765750 is a wasteful number, since it uses less digits than its factorization.

20391765750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84831 (or 84818 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 20391765750 in words is "twenty billion, three hundred ninety-one million, seven hundred sixty-five thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 107 125 150 214 225 250 321 375 450 535 642 750 963 1070 1125 1605 1926 2250 2675 3210 4815 5350 8025 9630 13375 16050 24075 26750 40125 48150 80250 84701 120375 169402 240750 254103 423505 508206 762309 847010 1270515 1524618 2117525 2541030 3811545 4235050 6352575 7623090 9063007 10587625 12705150 18126014 19057725 21175250 27189021 31762875 38115450 45315035 54378042 63525750 81567063 90630070 95288625 135945105 163134126 190577250 226575175 271890210 407835315 453150350 679725525 815670630 1132875875 1359451050 2039176575 2265751750 3398627625 4078353150 6797255250 10195882875 20391765750