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51033457202104 = 231317411193590131
BaseRepresentation
bin10111001101010001001110…
…00101101001001110111000
320200200202021101012122201101
423212220213011221032320
523142113010020431404
6300312240243501144
713515021433615336
oct1346504705511670
9220622241178641
1051033457202104
1115296193173133
1258827616877b4
1322625853b7010
14c860652b6b56
155d776d7a62a4
hex2e6a271693b8

51033457202104 has 128 divisors (see below), whose sum is σ = 111865091446080. Its totient is φ = 21609521971200.

The previous prime is 51033457202099. The next prime is 51033457202137. The reversal of 51033457202104 is 40120275433015.

51033457202104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 31 ways as a sum of consecutive naturals, for example, 86183119 + ... + 86773249.

Almost surely, 251033457202104 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 51033457202104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55932545723040).

51033457202104 is an abundant number, since it is smaller than the sum of its proper divisors (60831634243976).

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

51033457202104 is a wasteful number, since it uses less digits than its factorization.

51033457202104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591401 (or 591397 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 37.

The spelling of 51033457202104 in words is "fifty-one trillion, thirty-three billion, four hundred fifty-seven million, two hundred two thousand, one hundred four".

Divisors: 1 2 4 8 13 17 26 34 41 52 68 82 104 136 164 221 328 442 533 697 884 1066 1193 1394 1768 2132 2386 2788 4264 4772 5576 9061 9544 15509 18122 20281 31018 36244 40562 48913 62036 72488 81124 97826 124072 162248 195652 263653 391304 527306 590131 635869 831521 1054612 1180262 1271738 1663042 2109224 2360524 2543476 3326084 4721048 5086952 6652168 7671703 10032227 10809773 15343406 20064454 21619546 24195371 30686812 40128908 43239092 48390742 61373624 80257816 86478184 96781484 130418951 193562968 260837902 314539823 411321307 521675804 629079646 704026283 822642614 1043351608 1258159292 1408052566 1645285228 2516318584 2816105132 3290570456 5347176991 5632210264 9152341679 10694353982 11968446811 18304683358 21388707964 23936893622 28865077603 36609366716 42777415928 47873787244 57730155206 73218733432 95747574488 115460310412 155589808543 230920620824 311179617086 375246008839 490706319251 622359234172 750492017678 981412638502 1244718468344 1500984035356 1962825277004 3001968070712 3925650554008 6379182150263 12758364300526 25516728601052 51033457202104