Search a number
-
+
1013984023068 = 2232173115327449
BaseRepresentation
bin11101100000101100010…
…10000101001000011100
310120221021021211101211100
432300112022011020130
5113103114402214233
62053452352353100
7133154316662412
oct16602612051034
93527237741740
101013984023068
11361034601455
12144625245790
13748064a24c3
14371117612b2
151b599290813
hexec1628521c

1013984023068 has 72 divisors (see below), whose sum is σ = 2722625287200. Its totient is φ = 317089704960.

The previous prime is 1013984023049. The next prime is 1013984023069. The reversal of 1013984023068 is 8603204893101.

It is a super-2 number, since 2×10139840230682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013984023069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2473393 + ... + 2854056.

It is an arithmetic number, because the mean of its divisors is an integer number (37814240100).

Almost surely, 21013984023068 is an apocalyptic number.

1013984023068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1013984023068 is an abundant number, since it is smaller than the sum of its proper divisors (1708641264132).

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

1013984023068 is a wasteful number, since it uses less digits than its factorization.

1013984023068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327787 (or 5327782 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1013984023068 in words is "one trillion, thirteen billion, nine hundred eighty-four million, twenty-three thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 311 612 622 933 1244 1866 2799 3732 5287 5598 10574 11196 15861 21148 31722 47583 63444 95166 190332 5327449 10654898 15982347 21309796 31964694 47947041 63929388 90566633 95894082 181133266 191788164 271699899 362266532 543399798 815099697 1086799596 1630199394 1656836639 3260398788 3313673278 4970509917 6627346556 9941019834 14911529751 19882039668 28166222863 29823059502 56332445726 59646119004 84498668589 112664891452 168997337178 253496005767 337994674356 506992011534 1013984023068