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6714468424896 = 263973391106319
BaseRepresentation
bin110000110110101010110…
…0000010101110011000000
3212202220012211221002100220
41201231111200111303000
51340002212404044041
622140330104543040
71262050533631401
oct141552540256300
925686184832326
106714468424896
11215965441a8a1
12905385a81a80
13399230186aab
14192da68a39a8
15b99d3350d66
hex61b55815cc0

6714468424896 has 112 divisors (see below), whose sum is σ = 17953974312960. Its totient is φ = 2214408314880.

The previous prime is 6714468424891. The next prime is 6714468424907. The reversal of 6714468424896 is 6984248644176.

It is a super-2 number, since 2×67144684248962 (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 6714468424896.

It is not an unprimeable number, because it can be changed into a prime (6714468424891) 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, 63100825 + ... + 63207143.

It is an arithmetic number, because the mean of its divisors is an integer number (160303342080).

Almost surely, 26714468424896 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 6714468424896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8976987156480).

6714468424896 is an abundant number, since it is smaller than the sum of its proper divisors (11239505888064).

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

6714468424896 is a wasteful number, since it uses less digits than its factorization.

6714468424896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109822 (or 109812 counting only the distinct ones).

The product of its digits is 445906944, while the sum is 69.

The spelling of 6714468424896 in words is "six trillion, seven hundred fourteen billion, four hundred sixty-eight million, four hundred twenty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 192 194 291 388 582 776 1164 1552 2328 3104 3391 4656 6208 6782 9312 10173 13564 18624 20346 27128 40692 54256 81384 106319 108512 162768 212638 217024 318957 325536 328927 425276 637914 651072 657854 850552 986781 1275828 1315708 1701104 1973562 2551656 2631416 3402208 3947124 5103312 5262832 6804416 7894248 10206624 10312943 10525664 15788496 20413248 20625886 21051328 30938829 31576992 41251772 61877658 63153984 82503544 123755316 165007088 247510632 330014176 360527729 495021264 660028352 721055458 990042528 1081583187 1442110916 1980085056 2163166374 2884221832 4326332748 5768443664 8652665496 11536887328 17305330992 23073774656 34610661984 34971189713 69221323968 69942379426 104913569139 139884758852 209827138278 279769517704 419654276556 559539035408 839308553112 1119078070816 1678617106224 2238156141632 3357234212448 6714468424896