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2556320316 = 22311411912473
BaseRepresentation
bin1001100001011110…
…0101101000111100
320121011011112020020
42120113211220330
520213404222231
61101354452140
7120230235624
oct23027455074
96534145206
102556320316
1110a1a81320
125b4134050
133197bb594
141a3711884
15ee653396
hex985e5a3c

2556320316 has 96 divisors (see below), whose sum is σ = 6703312896. Its totient is φ = 751488000.

The previous prime is 2556320297. The next prime is 2556320323. The reversal of 2556320316 is 6130236552.

2556320316 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 (33).

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, 1032456 + ... + 1034928.

It is an arithmetic number, because the mean of its divisors is an integer number (69826176).

Almost surely, 22556320316 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 2556320316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351656448).

2556320316 is an abundant number, since it is smaller than the sum of its proper divisors (4146992580).

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

2556320316 is a wasteful number, since it uses less digits than its factorization.

2556320316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2721 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 2556320316 is about 50560.0664160956. The cubic root of 2556320316 is about 1367.3250085621.

Adding to 2556320316 its reverse (6130236552), we get a palindrome (8686556868).

The spelling of 2556320316 in words is "two billion, five hundred fifty-six million, three hundred twenty thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 191 246 382 451 492 573 764 902 1146 1353 1804 2101 2292 2473 2706 4202 4946 5412 6303 7419 7831 8404 9892 12606 14838 15662 23493 25212 27203 29676 31324 46986 54406 81609 86141 93972 101393 108812 163218 172282 202786 258423 304179 326436 344564 405572 472343 516846 608358 944686 1033692 1115323 1216716 1417029 1889372 2230646 2834058 3345969 4461292 5195773 5668116 6691938 10391546 13383876 15587319 19366063 20783092 31174638 38732126 58098189 62349276 77464252 116196378 213026693 232392756 426053386 639080079 852106772 1278160158 2556320316