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1320564520056 = 2334347160916921
BaseRepresentation
bin10011001101110111110…
…001110111010001111000
311200020121102010022102010
4103031313301313101320
5133114004004120211
62450354200405520
7164256551133345
oct23156761672170
94606542108363
101320564520056
1146a059276511
12193b264768a0
13976b47275c2
1447cb681d7cc
152453e5014a6
hex13377c77478

1320564520056 has 128 divisors (see below), whose sum is σ = 3452412902400. Its totient is φ = 420516956160.

The previous prime is 1320564520019. The next prime is 1320564520069. The reversal of 1320564520056 is 6500254650231.

It is a junction number, because it is equal to n+sod(n) for n = 1320564519996 and 1320564520023.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78034476 + ... + 78051396.

It is an arithmetic number, because the mean of its divisors is an integer number (26971975800).

Almost surely, 21320564520056 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 1320564520056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726206451200).

1320564520056 is an abundant number, since it is smaller than the sum of its proper divisors (2131848382344).

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

1320564520056 is a wasteful number, since it uses less digits than its factorization.

1320564520056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18629 (or 18625 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 39.

The spelling of 1320564520056 in words is "one trillion, three hundred twenty billion, five hundred sixty-four million, five hundred twenty thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 24 43 47 86 94 129 141 172 188 258 282 344 376 516 564 1032 1128 1609 2021 3218 4042 4827 6063 6436 8084 9654 12126 12872 16168 16921 19308 24252 33842 38616 48504 50763 67684 69187 75623 101526 135368 138374 151246 203052 207561 226869 276748 302492 406104 415122 453738 553496 604984 727603 795287 830244 907476 1455206 1590574 1660488 1814952 2182809 2385861 2910412 3181148 3251789 4365618 4771722 5820824 6362296 6503578 8731236 9543444 9755367 13007156 17462472 19086888 19510734 26014312 27225889 34197341 39021468 54451778 68394682 78042936 81677667 102592023 108903556 136789364 163355334 205184046 217807112 273578728 326710668 410368092 653421336 820736184 1170713227 1279616783 2341426454 2559233566 3512139681 3838850349 4682852908 5118467132 7024279362 7677700698 9365705816 10236934264 14048558724 15355401396 28097117448 30710802792 55023521669 110047043338 165070565007 220094086676 330141130014 440188173352 660282260028 1320564520056