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2561666982 = 2372191513037
BaseRepresentation
bin1001100010101111…
…1110111110100110
320121112020011110220
42120223332332212
520221241320412
61102105225210
7120323544600
oct23053767646
96545204426
102561666982
1110a4aa3356
125b5a92206
1331a9410a4
141a4304170
15eed5c68c
hex98afefa6

2561666982 has 96 divisors (see below), whose sum is σ = 6317095680. Its totient is φ = 688564800.

The previous prime is 2561666977. The next prime is 2561666983. The reversal of 2561666982 is 2896661652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561666983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 841968 + ... + 845004.

It is an arithmetic number, because the mean of its divisors is an integer number (65803080).

Almost surely, 22561666982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561666982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3158547840).

2561666982 is an abundant number, since it is smaller than the sum of its proper divisors (3755428698).

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

2561666982 is a wasteful number, since it uses less digits than its factorization.

2561666982 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3219 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 51.

The square root of 2561666982 is about 50612.9131941642. The cubic root of 2561666982 is about 1368.2776199072.

The spelling of 2561666982 in words is "two billion, five hundred sixty-one million, six hundred sixty-six thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 151 266 294 302 399 453 798 906 931 1057 1862 2114 2793 2869 3037 3171 5586 5738 6074 6342 7399 8607 9111 14798 17214 18222 20083 21259 22197 40166 42518 44394 57703 60249 63777 115406 120498 127554 140581 148813 173109 281162 297626 346218 403921 421743 446439 458587 807842 843486 892878 917174 1211763 1375761 2423526 2751522 2827447 3210109 5654894 6420218 8482341 8713153 9630327 16964682 17426306 19260654 22470763 26139459 44941526 52278918 60992071 67412289 121984142 134824578 182976213 365952426 426944497 853888994 1280833491 2561666982