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1055763583446 = 23111371107161971
BaseRepresentation
bin11110101110100000110…
…10011101000111010110
310201221002222102222020110
433113100122131013112
5114244200434132241
62125002221343450
7136163543251035
oct17272032350726
93657088388213
101055763583446
11377824023550
12150745107b86
1378734139570
143915640471c
151c6e20e4816
hexf5d069d1d6

1055763583446 has 128 divisors (see below), whose sum is σ = 2539140452352. Its totient is φ = 288436176000.

The previous prime is 1055763583409. The next prime is 1055763583463. The reversal of 1055763583446 is 6443853675501.

It is a super-2 number, since 2×10557635834462 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6437241 + ... + 6599211.

It is an arithmetic number, because the mean of its divisors is an integer number (19837034784).

Almost surely, 21055763583446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055763583446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269570226176).

1055763583446 is an abundant number, since it is smaller than the sum of its proper divisors (1483376868906).

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

1055763583446 is a wasteful number, since it uses less digits than its factorization.

1055763583446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162178.

The product of its (nonzero) digits is 36288000, while the sum is 57.

The spelling of 1055763583446 in words is "one trillion, fifty-five billion, seven hundred sixty-three million, five hundred eighty-three thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 71 78 107 142 143 213 214 286 321 426 429 642 781 858 923 1177 1391 1562 1846 2343 2354 2769 2782 3531 4173 4686 5538 7062 7597 8346 10153 15194 15301 20306 22791 30459 30602 45582 45903 60918 83567 91806 98761 161971 167134 197522 250701 296283 323942 485913 501402 592566 971826 1086371 1781681 2105623 2172742 3259113 3563362 4211246 5345043 6316869 6518226 10690086 11499941 12633738 17330897 22999882 23161853 34499823 34661794 46323706 51992691 68999646 69485559 103985382 126499351 138971118 149499233 190639867 225301661 252998702 298998466 379498053 381279734 448497699 450603322 571919601 675904983 758996106 896995398 1143839202 1230493687 1351809966 1644491563 2460987374 2478318271 3288983126 3691481061 4933474689 4956636542 7382962122 7434954813 9866949378 13535430557 14869909626 15996417931 27070861114 31992835862 40606291671 47989253793 81212583342 95978507586 175960597241 351921194482 527881791723 1055763583446