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105455434022544 = 24310121752358503
BaseRepresentation
bin10111111110100101000001…
…101011110011111010010000
3111211101102220111220010212210
4113332211001223303322100
5102310240212102210134
61012141320234552120
731132621651211454
oct2776450153637220
9454342814803783
10105455434022544
1130668442319701
12b9b1b77598640
1346ac53533b2c8
141c080daa4c664
15c2d21036a2e9
hex5fe941af3e90

105455434022544 has 40 divisors (see below), whose sum is σ = 275123830358592. Its totient is φ = 34803773603200.

The previous prime is 105455434022509. The next prime is 105455434022557. The reversal of 105455434022544 is 445220434554501.

It is a super-2 number, since 2×1054554340225442 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 105455434022493 and 105455434022502.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10876174404 + ... + 10876184099.

Almost surely, 2105455434022544 is an apocalyptic number.

It is an amenable number.

105455434022544 is an abundant number, since it is smaller than the sum of its proper divisors (169668396336048).

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

105455434022544 is a wasteful number, since it uses less digits than its factorization.

105455434022544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21752358615 (or 21752358609 counting only the distinct ones).

The product of its (nonzero) digits is 7680000, while the sum is 48.

The spelling of 105455434022544 in words is "one hundred five trillion, four hundred fifty-five billion, four hundred thirty-four million, twenty-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 606 808 1212 1616 2424 4848 21752358503 43504717006 65257075509 87009434012 130514151018 174018868024 261028302036 348037736048 522056604072 1044113208144 2196988208803 4393976417606 6590964626409 8787952835212 13181929252818 17575905670424 26363858505636 35151811340848 52727717011272 105455434022544