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4013553104 = 241136762137
BaseRepresentation
bin1110111100111001…
…1111010111010000
3101100201012121210222
43233032133113100
531204432144404
61502132212212
7201313432001
oct35716372720
911321177728
104013553104
11177a600940
1294016a068
134bc6885c2
142a10811a8
15187550dbe
hexef39f5d0

4013553104 has 40 divisors (see below), whose sum is σ = 8506443648. Its totient is φ = 1819342080.

The previous prime is 4013553073. The next prime is 4013553139.

4013553104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×40135531042 = 32217217037256069632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33524 + ... + 95660.

Almost surely, 24013553104 is an apocalyptic number.

4013553104 is a gapful number since it is divisible by the number (44) 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 4013553104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4253221824).

4013553104 is an abundant number, since it is smaller than the sum of its proper divisors (4492890544).

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

4013553104 is a wasteful number, since it uses less digits than its factorization.

4013553104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62523 (or 62517 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 4013553104 is about 63352.6092911728. The cubic root of 4013553104 is about 1589.1918818422.

It can be divided in two parts, 40135 and 53104, that added together give a palindrome (93239).

The spelling of 4013553104 in words is "four billion, thirteen million, five hundred fifty-three thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 88 176 367 734 1468 2936 4037 5872 8074 16148 32296 62137 64592 124274 248548 497096 683507 994192 1367014 2734028 5468056 10936112 22804279 45608558 91217116 182434232 250847069 364868464 501694138 1003388276 2006776552 4013553104