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3946024320656 = 241135382776801
BaseRepresentation
bin111001011011000001011…
…000001011111010010000
3111222020101012221002112012
4321123001120023322100
51004122424211230111
612220440055522052
7555043106206355
oct71330130137220
914866335832465
103946024320656
111291554946910
12538923689328
132281544a1232
14d8dba9ca62c
156c9a259648b
hex396c160be90

3946024320656 has 80 divisors (see below), whose sum is σ = 8374310670528. Its totient is φ = 1786380288000.

The previous prime is 3946024320649. The next prime is 3946024320709. The reversal of 3946024320656 is 6560234206493.

It is a super-2 number, since 2×39460243206562 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51341456 + ... + 51418256.

Almost surely, 23946024320656 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 3946024320656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4187155335264).

3946024320656 is an abundant number, since it is smaller than the sum of its proper divisors (4428286349872).

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

3946024320656 is a wasteful number, since it uses less digits than its factorization.

3946024320656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78000 (or 77994 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 50.

The spelling of 3946024320656 in words is "three trillion, nine hundred forty-six billion, twenty-four million, three hundred twenty thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 44 88 176 353 706 827 1412 1654 2824 3308 3883 5648 6616 7766 9097 13232 15532 18194 31064 36388 62128 72776 76801 145552 153602 291931 307204 583862 614408 844811 1167724 1228816 1689622 2335448 3211241 3379244 4670896 6422482 6758488 12844964 13516976 25689928 27110753 51379856 54221506 63514427 108443012 127028854 216886024 254057708 298218283 433772048 508115416 596436566 698658697 1016230832 1192873132 1397317394 2385746264 2794634788 4771492528 5589269576 11178539152 22420592731 44841185462 89682370924 179364741848 246626520041 358729483696 493253040082 986506080164 1973012160328 3946024320656