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1027921681556 = 2271117281698641
BaseRepresentation
bin11101111010101001110…
…10000001110010010100
310122021020121222210220222
432331110322001302110
5113320140422302211
62104115401013512
7134156600062310
oct16752472016224
93567217883828
101027921681556
11366a36a9a580
12147274a84298
1375c17bc46c3
1437a7484ab40
151bb12bac1db
hexef54e81c94

1027921681556 has 96 divisors (see below), whose sum is σ = 2383118164224. Its totient is φ = 375588864000.

The previous prime is 1027921681487. The next prime is 1027921681601. The reversal of 1027921681556 is 6551861297201.

1027921681556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10279216815562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1027921681498 and 1027921681507.

It is a congruent number.

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, 1121996 + ... + 1820636.

It is an arithmetic number, because the mean of its divisors is an integer number (24824147544).

Almost surely, 21027921681556 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 1027921681556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191559082112).

1027921681556 is an abundant number, since it is smaller than the sum of its proper divisors (1355196482668).

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

1027921681556 is a wasteful number, since it uses less digits than its factorization.

1027921681556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698961 (or 698959 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 53.

The spelling of 1027921681556 in words is "one trillion, twenty-seven billion, nine hundred twenty-one million, six hundred eighty-one thousand, five hundred fifty-six".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 281 308 374 476 562 748 1124 1309 1967 2618 3091 3934 4777 5236 6182 7868 9554 12364 19108 21637 33439 43274 52547 66878 86548 105094 133756 210188 367829 698641 735658 1397282 1471316 2794564 4890487 7685051 9780974 11876897 15370102 19561948 23753794 30740204 47507588 53795357 83138279 107590714 130645867 166276558 196318121 215181428 261291734 332553116 392636242 522583468 785272484 914521069 1374226847 1829042138 2159499331 2748453694 3337408057 3658084276 4318998662 5496907388 6674816114 8637997324 13349632228 15116495317 23361856399 30232990634 36711488627 46723712798 60465981268 73422977254 93447425596 146845954508 256980420389 513960840778 1027921681556