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1026461241663 = 3111317197407689
BaseRepresentation
bin11101110111111011101…
…10111001000100111111
310122010110211220210000120
432323331312321010333
5113304143034213123
62103314430430023
7134105444411124
oct16737566710477
93563424823016
101026461241663
1136635767a460
12146b27962313
1375a444739a0
14379768c474b
151ba798792e3
hexeefddb913f

1026461241663 has 64 divisors (see below), whose sum is σ = 1792068364800. Its totient is φ = 512019394560.

The previous prime is 1026461241649. The next prime is 1026461241679. The reversal of 1026461241663 is 3661421646201.

It is not a de Polignac number, because 1026461241663 - 29 = 1026461241151 is a prime.

It is a super-3 number, since 3×10264612416633 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026461241863) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3565278 + ... + 3842411.

It is an arithmetic number, because the mean of its divisors is an integer number (28001068200).

Almost surely, 21026461241663 is an apocalyptic number.

1026461241663 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1026461241663 is a deficient number, since it is larger than the sum of its proper divisors (765607123137).

1026461241663 is a wasteful number, since it uses less digits than its factorization.

1026461241663 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7407752.

The product of its (nonzero) digits is 248832, while the sum is 42.

Adding to 1026461241663 its reverse (3661421646201), we get a palindrome (4687882887864).

The spelling of 1026461241663 in words is "one trillion, twenty-six billion, four hundred sixty-one million, two hundred forty-one thousand, six hundred sixty-three".

Divisors: 1 3 11 13 17 19 33 39 51 57 143 187 209 221 247 323 429 561 627 663 741 969 2431 2717 3553 4199 7293 8151 10659 12597 46189 138567 7407689 22223067 81484579 96299957 125930713 140746091 244453737 288899871 377792139 422238273 1059299527 1385237843 1548207001 1637099269 1829699183 2392683547 3177898581 4155713529 4644621003 4911297807 5489097549 7178050641 18008091959 20126691013 26319519017 31104886111 54024275877 60380073039 78958557051 93314658333 342153747221 1026461241663