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1026325880268 = 22313171181327689
BaseRepresentation
bin11101110111101011100…
…10100001110111001100
310122010010102012201002120
432323311302201313030
5113303403411132033
62103253153252540
7134102212020363
oct16736562416714
93563112181076
101026325880268
11366298226437
12146aaa564150
1375a223cbaa0
143796292a7da
151ba6ca3c1b3
hexeef5ca1dcc

1026325880268 has 96 divisors (see below), whose sum is σ = 2732997516480. Its totient is φ = 296963973120.

The previous prime is 1026325880227. The next prime is 1026325880269. The reversal of 1026325880268 is 8620885236201.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1026325880268.

It is not an unprimeable number, because it can be changed into a prime (1026325880269) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2968168 + ... + 3295856.

It is an arithmetic number, because the mean of its divisors is an integer number (28468724130).

Almost surely, 21026325880268 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 1026325880268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366498758240).

1026325880268 is an abundant number, since it is smaller than the sum of its proper divisors (1706671636212).

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

1026325880268 is a wasteful number, since it uses less digits than its factorization.

1026325880268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328907 (or 328905 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 51.

The spelling of 1026325880268 in words is "one trillion, twenty-six billion, three hundred twenty-five million, eight hundred eighty thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1181 1326 2362 2652 3543 4724 7086 14172 15353 20077 30706 40154 46059 60231 61412 80308 92118 120462 184236 240924 261001 327689 522002 655378 783003 983067 1044004 1310756 1566006 1966134 3132012 3932268 4259957 5570713 8519914 11141426 12779871 16712139 17039828 22282852 25559742 33424278 51119484 66848556 72419269 144838538 217257807 289677076 387000709 434515614 774001418 869031228 1161002127 1548002836 2322004254 4644008508 5031009217 6579012053 10062018434 13158024106 15093027651 19737036159 20124036868 26316048212 30186055302 39474072318 60372110604 78948144636 85527156689 171054313378 256581470067 342108626756 513162940134 1026325880268