Search a number
-
+
11253281376276 = 223211319289143413
BaseRepresentation
bin1010001111000001101111…
…0101101100100000010100
31110211210200112020201110100
42203300123311230200110
52433333210013020101
635533404110254100
72241010542310632
oct243603365544024
943753615221410
1011253281376276
113649542a67785
121318b651b7330
136382452743c4
142ac939ab6352
15147acc5e7e86
hexa3c1bd6c814

11253281376276 has 72 divisors (see below), whose sum is σ = 28699215166440. Its totient is φ = 3717679601664.

The previous prime is 11253281376209. The next prime is 11253281376317. The reversal of 11253281376276 is 67267318235211.

11253281376276 is a `hidden beast` number, since 1 + 1 + 2 + 5 + 3 + 2 + 8 + 1 + 3 + 7 + 627 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2577546764676 + 8675734611600 = 1605474^2 + 2945460^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78395946 + ... + 78539358.

It is an arithmetic number, because the mean of its divisors is an integer number (398600210645).

Almost surely, 211253281376276 is an apocalyptic number.

It is an amenable number.

11253281376276 is an abundant number, since it is smaller than the sum of its proper divisors (17445933790164).

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

11253281376276 is a wasteful number, since it uses less digits than its factorization.

11253281376276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162825 (or 162820 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 11253281376276 in words is "eleven trillion, two hundred fifty-three billion, two hundred eighty-one million, three hundred seventy-six thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 19289 38578 57867 77156 115734 143413 173601 231468 286826 347202 430239 573652 694404 860478 1290717 1720956 2179657 2581434 4359314 5162868 6538971 8718628 13077942 16205669 19616913 26155884 32411338 39233826 48617007 64822676 78467652 97234014 145851021 194468028 291702042 583404084 2766293357 5532586714 8298880071 11065173428 16597760142 24896640213 33195520284 49793280426 99586560852 312591149341 625182298682 937773448023 1250364597364 1875546896046 2813320344069 3751093792092 5626640688138 11253281376276