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1036376936676 = 223423224592
BaseRepresentation
bin11110001010011001110…
…00010001000011100100
310200002001220001021110000
433011030320101003210
5113434444443433201
62112034402301300
7134606246420004
oct17051470210344
93602056037400
101036376936676
1136a585842924
12148a34657830
1376964854443
1438237780004
151be5a132d86
hexf14ce110e4

1036376936676 has 135 divisors (see below), whose sum is σ = 2833363202131. Its totient is φ = 330304643856.

The previous prime is 1036376936633. The next prime is 1036376936681. The reversal of 1036376936676 is 6766396736301.

The square root of 1036376936676 is 1018026.

It is a perfect power (a square), and thus also a powerful number.

1036376936676 is a `hidden beast` number, since 103 + 6 + 376 + 93 + 6 + 6 + 76 = 666.

It is a super-3 number, since 3×10363769366763 (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 421461535 + ... + 421463993.

Almost surely, 21036376936676 is an apocalyptic number.

1036376936676 is the 1018026-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1036376936676

1036376936676 is an abundant number, since it is smaller than the sum of its proper divisors (1796986265455).

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

1036376936676 is an frugal number, since it uses more digits than its factorization.

1036376936676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4980 (or 2487 counting only the distinct ones).

The product of its (nonzero) digits is 92588832, while the sum is 63.

The spelling of 1036376936676 in words is "one trillion, thirty-six billion, three hundred seventy-six million, nine hundred thirty-six thousand, six hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 276 324 414 529 621 828 1058 1242 1587 1863 2116 2459 2484 3174 3726 4761 4918 6348 7377 7452 9522 9836 14283 14754 19044 22131 28566 29508 42849 44262 56557 57132 66393 85698 88524 113114 132786 169671 171396 199179 226228 265572 339342 398358 509013 678684 796716 1018026 1300811 1527039 2036052 2601622 3054078 3902433 4581117 5203244 6046681 6108156 7804866 9162234 11707299 12093362 15609732 18140043 18324468 23414598 24186724 35121897 36280086 46829196 54420129 70243794 72560172 105365691 108840258 139073663 140487588 163260387 210731382 217680516 278147326 326520774 417220989 421462764 489781161 556294652 653041548 834441978 979562322 1251662967 1668883956 1959124644 2503325934 3198694249 3754988901 5006651868 6397388498 7509977802 9596082747 11264966703 12794776996 15019955604 19192165494 22529933406 28788248241 38384330988 45059866812 57576496482 86364744723 115152992964 172729489446 259094234169 345458978892 518188468338 1036376936676