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261993572057296 = 24294736229331603
BaseRepresentation
bin111011100100100000100001…
…110010111100000011010000
31021100122100012111120002210201
4323210200201302330003100
5233320000313421313141
62325114104015504544
7106120260644331502
oct7344404162740320
91240570174502721
10261993572057296
117652a9392a47a2
1225474139228154
13b325b7075c931
14489a7b1241d72
1520450c2654031
hexee4821cbc0d0

261993572057296 has 80 divisors (see below), whose sum is σ = 536305536748800. Its totient is φ = 123784808845824.

The previous prime is 261993572057233. The next prime is 261993572057297. The reversal of 261993572057296 is 692750275399162.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (261993572057297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 789916231 + ... + 790247833.

It is an arithmetic number, because the mean of its divisors is an integer number (6703819209360).

Almost surely, 2261993572057296 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 261993572057296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268152768374400).

261993572057296 is an abundant number, since it is smaller than the sum of its proper divisors (274311964691504).

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

261993572057296 is a wasteful number, since it uses less digits than its factorization.

261993572057296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367916 (or 367910 counting only the distinct ones).

The product of its (nonzero) digits is 771573600, while the sum is 73.

The spelling of 261993572057296 in words is "two hundred sixty-one trillion, nine hundred ninety-three billion, five hundred seventy-two million, fifty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 29 47 58 94 116 188 232 376 464 752 1363 2726 5452 10904 21808 36229 72458 144916 289832 331603 579664 663206 1050641 1326412 1702763 2101282 2652824 3405526 4202564 5305648 6811052 8405128 9616487 13622104 15585341 16810256 19232974 27244208 31170682 38465948 49380127 62341364 76931896 98760254 124682728 153863792 197520508 249365456 395041016 451974889 790082032 903949778 1807899556 3615799112 7231598224 12013645087 24027290174 48054580348 96109160696 192218321392 348395707523 564641319089 696791415046 1129282638178 1393582830092 2258565276356 2787165660184 4517130552712 5574331320368 9034261105424 16374598253581 32749196507162 65498393014324 130996786028648 261993572057296