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1054806465564 = 22353792863303
BaseRepresentation
bin11110101100101110101…
…11010101110000011100
310201211122021110100100000
433112113113111300130
5114240220423344224
62124323231134300
7136131042010635
oct17262727256034
93654567410300
101054806465564
11377382829735
12150518674390
1378610a64a17
14390a525a88c
151c6880840c9
hexf5975d5c1c

1054806465564 has 72 divisors (see below), whose sum is σ = 2772365464960. Its totient is φ = 350674322544.

The previous prime is 1054806465553. The next prime is 1054806465569. The reversal of 1054806465564 is 4655646084501.

1054806465564 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 80 + 6 + 4 + 6 + 556 + 4 = 666.

It is a super-2 number, since 2×10548064655642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1054806465564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054806465569) 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 23 ways as a sum of consecutive naturals, for example, 1063264 + ... + 1800039.

Almost surely, 21054806465564 is an apocalyptic number.

It is an amenable number.

1054806465564 is an abundant number, since it is smaller than the sum of its proper divisors (1717558999396).

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

1054806465564 is a wasteful number, since it uses less digits than its factorization.

1054806465564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2863701 (or 2863687 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 1054806465564 in words is "one trillion, fifty-four billion, eight hundred six million, four hundred sixty-five thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 379 486 758 972 1137 1516 2274 3411 4548 6822 10233 13644 20466 30699 40932 61398 92097 122796 184194 368388 2863303 5726606 8589909 11453212 17179818 25769727 34359636 51539454 77309181 103078908 154618362 231927543 309236724 463855086 695782629 927710172 1085191837 1391565258 2170383674 2783130516 3255575511 4340767348 6511151022 9766726533 13022302044 19533453066 29300179599 39066906132 58600359198 87900538797 117200718396 175801077594 263701616391 351602155188 527403232782 1054806465564