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20188768752 = 243377360457
BaseRepresentation
bin10010110011010110…
…000010100111110000
31221002222201201022000
4102303112002213300
5312321311100002
613135151214000
71313203463055
oct226326024760
957088651260
1020188768752
118620040859
123ab5217300
131b9982bb19
14d973c302c
157d260761c
hex4b35829f0

20188768752 has 80 divisors (see below), whose sum is σ = 58025170080. Its totient is φ = 6720772608.

The previous prime is 20188768703. The next prime is 20188768753. The reversal of 20188768752 is 25786788102.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20188768753) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303708 + ... + 364164.

It is an arithmetic number, because the mean of its divisors is an integer number (725314626).

Almost surely, 220188768752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20188768752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29012585040).

20188768752 is an abundant number, since it is smaller than the sum of its proper divisors (37836401328).

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

20188768752 is a wasteful number, since it uses less digits than its factorization.

20188768752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61247 (or 61235 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 54.

The spelling of 20188768752 in words is "twenty billion, one hundred eighty-eight million, seven hundred sixty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 773 1546 2319 3092 4638 6184 6957 9276 12368 13914 18552 20871 27828 37104 41742 55656 60457 83484 111312 120914 166968 181371 241828 333936 362742 483656 544113 725484 967312 1088226 1450968 1632339 2176452 2901936 3264678 4352904 6529356 8705808 13058712 26117424 46733261 93466522 140199783 186933044 280399566 373866088 420599349 560799132 747732176 841198698 1121598264 1261798047 1682397396 2243196528 2523596094 3364794792 5047192188 6729589584 10094384376 20188768752