Search a number
-
+
4436065106916 = 2234377311121637
BaseRepresentation
bin100000010001101101000…
…0101011011101111100100
3120201002021000010022212120
41000203122011123233210
51040140030131410131
613233522234345540
7635331554155332
oct100433205335744
916632230108776
104436065106916
111460363117653
125b78a528b2b0
1326241c212211
141149c7266b52
157a5d3bc6496
hex408da15bbe4

4436065106916 has 48 divisors (see below), whose sum is σ = 10605238104384. Its totient is φ = 1442431702656.

The previous prime is 4436065106911. The next prime is 4436065106987. The reversal of 4436065106916 is 6196015606344.

It is a happy number.

It is a super-2 number, since 2×44360651069162 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4436065106911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5161951 + ... + 5959686.

It is an arithmetic number, because the mean of its divisors is an integer number (220942460508).

Almost surely, 24436065106916 is an apocalyptic number.

It is an amenable number.

4436065106916 is an abundant number, since it is smaller than the sum of its proper divisors (6169172997468).

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

4436065106916 is a wasteful number, since it uses less digits than its factorization.

4436065106916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122460 (or 11122458 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 4436065106916 in words is "four trillion, four hundred thirty-six billion, sixty-five million, one hundred six thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 12 43 86 129 172 258 516 773 1546 2319 3092 4638 9276 33239 66478 99717 132956 199434 398868 11121637 22243274 33364911 44486548 66729822 133459644 478230391 956460782 1434691173 1912921564 2869382346 5738764692 8597025401 17194050802 25791076203 34388101604 51582152406 103164304812 369672092243 739344184486 1109016276729 1478688368972 2218032553458 4436065106916