Search a number
-
+
3211388300856 = 23317591283103981
BaseRepresentation
bin101110101110110101101…
…010001010111000111000
3102101000011011122120211010
4232232311222022320320
5410103410401111411
610455142540233520
7451005124111311
oct56566552127070
912330134576733
103211388300856
111028a3aa7a96a
1243a47b53b8a0
131a3aa934cc28
14b1609685608
15588078a97a6
hex2ebb5a8ae38

3211388300856 has 128 divisors (see below), whose sum is σ = 8651635142400. Its totient is φ = 989636720640.

The previous prime is 3211388300803. The next prime is 3211388300863. The reversal of 3211388300856 is 6580038831123.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30832386 + ... + 30936366.

It is an arithmetic number, because the mean of its divisors is an integer number (67590899550).

Almost surely, 23211388300856 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 3211388300856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4325817571200).

3211388300856 is an abundant number, since it is smaller than the sum of its proper divisors (5440246841544).

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

3211388300856 is a wasteful number, since it uses less digits than its factorization.

3211388300856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105349 (or 105345 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 3211388300856 in words is "three trillion, two hundred eleven billion, three hundred eighty-eight million, three hundred thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 59 68 102 118 136 177 204 236 354 408 472 708 1003 1283 1416 2006 2566 3009 3849 4012 5132 6018 7698 8024 10264 12036 15396 21811 24072 30792 43622 65433 75697 87244 103981 130866 151394 174488 207962 227091 261732 302788 311943 415924 454182 523464 605576 623886 831848 908364 1247772 1286849 1767677 1816728 2495544 2573698 3535354 3860547 5147396 5303031 6134879 7070708 7721094 10294792 10606062 12269758 14141416 15442188 18404637 21212124 24539516 30884376 36809274 42424248 49079032 73618548 104292943 133407623 147237096 208585886 266815246 312878829 400222869 417171772 533630492 625757658 800445738 834343544 1067260984 1251515316 1600891476 2267929591 2503030632 3201782952 4535859182 6803788773 7871049757 9071718364 13607577546 15742099514 18143436728 23613149271 27215155092 31484199028 47226298542 54430310184 62968398056 94452597084 133807845869 188905194168 267615691738 401423537607 535231383476 802847075214 1070462766952 1605694150428 3211388300856