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3996865041664 = 28119191544441
BaseRepresentation
bin111010001010010111101…
…110001001010100000000
3112011002121101201022120011
4322022113232021110000
51010441034422313124
612300045012554304
7561523020205645
oct72122756112400
915132541638504
103996865041664
111301074133010
12546752022994
1322cb974808c1
14db640c45dcc
156de7ab58994
hex3a297b89500

3996865041664 has 72 divisors (see below), whose sum is σ = 8712876876480. Its totient is φ = 1814778777600.

The previous prime is 3996865041541. The next prime is 3996865041667. The reversal of 3996865041664 is 4661405686993.

It is a super-2 number, since 2×39968650416642 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3996865041664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3996865041667) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1815684 + ... + 3360124.

It is an arithmetic number, because the mean of its divisors is an integer number (121012178840).

Almost surely, 23996865041664 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 3996865041664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356438438240).

3996865041664 is an abundant number, since it is smaller than the sum of its proper divisors (4716011834816).

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

3996865041664 is a wasteful number, since it uses less digits than its factorization.

3996865041664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545387 (or 1545373 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 67.

The spelling of 3996865041664 in words is "three trillion, nine hundred ninety-six billion, eight hundred sixty-five million, forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 919 1408 1838 2816 3676 7352 10109 14704 20218 29408 40436 58816 80872 117632 161744 235264 323488 646976 1293952 1544441 2587904 3088882 6177764 12355528 16988851 24711056 33977702 49422112 67955404 98844224 135910808 197688448 271821616 395376896 543643232 1087286464 1419341279 2174572928 2838682558 4349145856 5677365116 11354730232 15612754069 22709460464 31225508138 45418920928 62451016276 90837841856 124902032552 181675683712 249804065104 363351367424 499608130208 999216260416 1998432520832 3996865041664