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216706191692744 = 2313101109677279577
BaseRepresentation
bin110001010001011111010111…
…100100111001001111001000
31001102021220120002122211201102
4301101133113210321033020
5211401003240033131434
62044521241120240532
763434335306563215
oct6121372744711710
91042256502584642
10216706191692744
116305a641767856
122037b141170148
1393bc3c9918c30
143b728c82b4b0c
151a0c05a8c307e
hexc517d79393c8

216706191692744 has 128 divisors (see below), whose sum is σ = 446626861480800. Its totient is φ = 97974166118400.

The previous prime is 216706191692719. The next prime is 216706191692839. The reversal of 216706191692744 is 447296191607612.

It can be written as a sum of positive squares in 16 ways, for example, as 109230465990244 + 107475725702500 = 10451338^2 + 10367050^2 .

It is a super-2 number, since 2×2167061916927442 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 774981884 + ... + 775261460.

Almost surely, 2216706191692744 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 216706191692744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223313430740400).

216706191692744 is an abundant number, since it is smaller than the sum of its proper divisors (229920669788056).

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

216706191692744 is a wasteful number, since it uses less digits than its factorization.

216706191692744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280483 (or 280479 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 65.

The spelling of 216706191692744 in words is "two hundred sixteen trillion, seven hundred six billion, one hundred ninety-one million, six hundred ninety-two thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 26 52 101 104 109 202 218 404 436 677 808 872 1313 1354 1417 2626 2708 2834 5252 5416 5668 8801 10504 11009 11336 17602 22018 35204 44036 68377 70408 73793 88072 136754 143117 147586 273508 279577 286234 295172 547016 559154 572468 590344 888901 959309 1118308 1144936 1777802 1918618 2236616 3555604 3634501 3837236 7111208 7269002 7453093 7674472 14538004 14906186 28237277 29076008 29812372 30473893 56474554 59624744 60947786 96890209 112949108 121895572 189273629 193780418 225898216 243791144 367084601 378547258 387560836 396160609 734169202 757094516 775121672 792321218 1468338404 1514189032 1584642436 2460557177 2936676808 3077863193 3169284872 4921114354 6155726386 9842228708 12311452772 19116636529 19684457416 20630825561 24622905544 38233273058 40012221509 41261651122 76466546116 80024443018 82523302244 152933092232 160048886036 165046604488 248516274877 268200732293 320097772072 497032549754 536401464586 994065099508 1072802929172 1988130199016 2083713381661 2145605858344 4167426763322 8334853526644 16669707053288 27088273961593 54176547923186 108353095846372 216706191692744