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51380772724064 = 2571377692177237
BaseRepresentation
bin10111010111011000001001…
…01101001101110101100000
320201220221202101122020111202
423223230010231031311200
523213310310304132224
6301140000124500332
713552065306056120
oct1353540455156540
9221827671566452
1051380772724064
111540a510788393
125919b309aa6a8
132289255a74ca4
14c98bb23d6c80
155e17e9cddeae
hex2ebb04b4dd60

51380772724064 has 96 divisors (see below), whose sum is σ = 116602068179520. Its totient is φ = 21831162789888.

The previous prime is 51380772724037. The next prime is 51380772724097. The reversal of 51380772724064 is 46042727708315.

51380772724064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 22510454 + ... + 24687690.

It is an arithmetic number, because the mean of its divisors is an integer number (1214604876870).

Almost surely, 251380772724064 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 51380772724064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58301034089760).

51380772724064 is an abundant number, since it is smaller than the sum of its proper divisors (65221295455456).

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

51380772724064 is a wasteful number, since it uses less digits than its factorization.

51380772724064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178160 (or 2178152 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 56.

The spelling of 51380772724064 in words is "fifty-one trillion, three hundred eighty billion, seven hundred seventy-two million, seven hundred twenty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 137 224 274 548 769 959 1096 1538 1918 2192 3076 3836 4384 5383 6152 7672 10766 12304 15344 21532 24608 30688 43064 86128 105353 172256 210706 421412 737471 842824 1474942 1685648 2177237 2949884 3371296 4354474 5899768 8708948 11799536 15240659 17417896 23599072 30481318 34835792 60962636 69671584 121925272 243850544 298281469 487701088 596562938 1193125876 1674295253 2087970283 2386251752 3348590506 4175940566 4772503504 6697181012 8351881132 9545007008 11720066771 13394362024 16703762264 23440133542 26788724048 33407524528 46880267084 53577448096 66815049056 93760534168 187521068336 229378449661 375042136672 458756899322 917513798644 1605649147627 1835027597288 3211298295254 3670055194576 6422596590508 7340110389152 12845193181016 25690386362032 51380772724064