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1026139886046 = 2321121522730941
BaseRepresentation
bin11101110111010101011…
…01000001000111011110
310122002122110020012222200
432323222231001013132
5113303013302323141
62103222510552330
7134064463055232
oct16735255010736
93562573205880
101026139886046
1136620223a200
12146a582086a6
13759c2a09732
1437945d525c2
151ba5b54cab6
hexeeeab411de

1026139886046 has 72 divisors (see below), whose sum is σ = 2444035433112. Its totient is φ = 310921010400.

The previous prime is 1026139886041. The next prime is 1026139886147. The reversal of 1026139886046 is 6406889316201.

1026139886046 is a `hidden beast` number, since 1 + 0 + 26 + 1 + 3 + 9 + 8 + 8 + 604 + 6 = 666.

It is a super-3 number, since 3×10261398860463 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1026139885983 and 1026139886001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026139886041) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 33148936 + ... + 33179876.

It is an arithmetic number, because the mean of its divisors is an integer number (33944936571).

Almost surely, 21026139886046 is an apocalyptic number.

1026139886046 is an abundant number, since it is smaller than the sum of its proper divisors (1417895547066).

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

1026139886046 is a wasteful number, since it uses less digits than its factorization.

1026139886046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46198 (or 46184 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1026139886046 in words is "one trillion, twenty-six billion, one hundred thirty-nine million, eight hundred eighty-six thousand, forty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 15227 30454 30941 45681 61882 91362 92823 137043 167497 185646 274086 278469 334994 340351 502491 556938 680702 1004982 1021053 1507473 1842467 2042106 3014946 3063159 3684934 3743861 5527401 6126318 7487722 11054802 11231583 16582203 22463166 33164406 33694749 67389498 471138607 942277214 1413415821 2826831642 4240247463 5182524677 8480494926 10365049354 15547574031 31095148062 46642722093 57007771447 93285444186 114015542894 171023314341 342046628682 513069943023 1026139886046