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12436216356004 = 22722518932
BaseRepresentation
bin1011010011111000100001…
…0000100001110010100100
31122000220001022002222110221
42310332020100201302210
53112223332341343004
642241041404254124
72422326014606200
oct264761020416244
948026038088427
1012436216356004
113a65195a15531
12148a27b841344
136c296525197c
1430dcb7a37b00
15168764066354
hexb4f88421ca4

12436216356004 has 27 divisors (see below), whose sum is σ = 25316683801857. Its totient is φ = 5329785850704.

The previous prime is 12436216355947. The next prime is 12436216356007. The reversal of 12436216356004 is 40065361263421.

It is a happy number.

The square root of 12436216356004 is 3526502.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8242928102500 + 4193288253504 = 2871050^2 + 2047752^2 .

It is not an unprimeable number, because it can be changed into a prime (12436216356007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 49245082 + ... + 49496974.

Almost surely, 212436216356004 is an apocalyptic number.

12436216356004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12436216356004 is the 3526502-nd square number.

It is an amenable number.

12436216356004 is an abundant number, since it is smaller than the sum of its proper divisors (12880467445853).

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

12436216356004 is an frugal number, since it uses more digits than its factorization.

12436216356004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503804 (or 251902 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 12436216356004 in words is "twelve trillion, four hundred thirty-six billion, two hundred sixteen million, three hundred fifty-six thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 251893 503786 1007572 1763251 3526502 7053004 12342757 24685514 49371028 63450083449 126900166898 253800333796 444150584143 888301168286 1776602336572 3109054089001 6218108178002 12436216356004