Search a number
-
+
2755412426436 = 22317379228715583
BaseRepresentation
bin101000000110001011011…
…000001111111011000100
3100202102012102121011121020
4220012023120033323010
5330121041040121221
65505452522551140
7403033455120165
oct50061330177304
910672172534536
102755412426436
1197262253262a
123860260684b0
1316caacba2307
149751126376c
154ba1bb9bac6
hex2818b60fec4

2755412426436 has 96 divisors (see below), whose sum is σ = 6828873891840. Its totient is φ = 861729974784.

The previous prime is 2755412426423. The next prime is 2755412426441. The reversal of 2755412426436 is 6346242145572.

It is a super-2 number, since 2×27554124264362 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176813901 + ... + 176829483.

It is an arithmetic number, because the mean of its divisors is an integer number (71134103040).

Almost surely, 22755412426436 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2755412426436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3414436945920).

2755412426436 is an abundant number, since it is smaller than the sum of its proper divisors (4073461465404).

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

2755412426436 is a wasteful number, since it uses less digits than its factorization.

2755412426436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18273 (or 18271 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 51.

The spelling of 2755412426436 in words is "two trillion, seven hundred fifty-five billion, four hundred twelve million, four hundred twenty-six thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 379 758 1137 1516 2274 2287 4548 4574 6443 6861 9148 12886 13722 15583 19329 25772 27444 31166 38658 38879 46749 62332 77316 77758 93498 116637 155516 186996 233274 264911 466548 529822 794733 866773 1059644 1589466 1733546 2600319 3178932 3467092 5200638 5905957 10401276 11811914 14735141 17717871 23623828 29470282 35435742 35638321 44205423 58940564 70871484 71276642 88410846 100401269 106914963 142553284 176821692 200802538 213829926 301203807 401605076 427659852 602407614 605851457 1204815228 1211702914 1817554371 2423405828 3635108742 7270217484 13506923659 27013847318 40520770977 54027694636 81041541954 162083083908 229617702203 459235404406 688853106609 918470808812 1377706213218 2755412426436