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2064266640440 = 2354111811065791
BaseRepresentation
bin11110000010011111111…
…000010011110000111000
321022100020021212110002022
4132002133320103300320
5232310104224443230
64220151102054012
7302065310635514
oct36023770236070
97270207773068
102064266640440
117264a5780a74
1229409a87a308
1311c875c30874
1471ca7c65144
1538a6a0c51e5
hex1e09fe13c38

2064266640440 has 64 divisors (see below), whose sum is σ = 4761916024320. Its totient is φ = 804884608000.

The previous prime is 2064266640437. The next prime is 2064266640479. The reversal of 2064266640440 is 440466624602.

It is a super-2 number, since 2×20642666404402 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2064266640391 and 2064266640400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1403945 + ... + 2469735.

It is an arithmetic number, because the mean of its divisors is an integer number (74404937880).

Almost surely, 22064266640440 is an apocalyptic number.

2064266640440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2064266640440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380958012160).

2064266640440 is an abundant number, since it is smaller than the sum of its proper divisors (2697649383880).

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

2064266640440 is a wasteful number, since it uses less digits than its factorization.

2064266640440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1067024 (or 1067020 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

The spelling of 2064266640440 in words is "two trillion, sixty-four billion, two hundred sixty-six million, six hundred forty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1181 1640 2362 4724 5905 9448 11810 23620 47240 48421 96842 193684 242105 387368 484210 968420 1065791 1936840 2131582 4263164 5328955 8526328 10657910 21315820 42631640 43697431 87394862 174789724 218487155 349579448 436974310 873948620 1258699171 1747897240 2517398342 5034796684 6293495855 10069593368 12586991710 25173983420 50347966840 51606666011 103213332022 206426664044 258033330055 412853328088 516066660110 1032133320220 2064266640440