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11277316648 = 23133116572111
BaseRepresentation
bin10101000000010111…
…00011001000101000
31002002221021001011101
422200023203020220
5141043443113043
65103012011144
7546314416123
oct124013431050
932087231141
1011277316648
114867829a04
122228900ab4
1310a9512840
1478da5b3ba
154600bc24d
hex2a02e3228

11277316648 has 64 divisors (see below), whose sum is σ = 23531397120. Its totient is φ = 5031590400.

The previous prime is 11277316637. The next prime is 11277316657. The reversal of 11277316648 is 84661377211.

It is a junction number, because it is equal to n+sod(n) for n = 11277316598 and 11277316607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5341113 + ... + 5343223.

It is an arithmetic number, because the mean of its divisors is an integer number (367678080).

Almost surely, 211277316648 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 11277316648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11765698560).

11277316648 is an abundant number, since it is smaller than the sum of its proper divisors (12254080472).

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

11277316648 is a wasteful number, since it uses less digits than its factorization.

11277316648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3818 (or 3814 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The spelling of 11277316648 in words is "eleven billion, two hundred seventy-seven million, three hundred sixteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 13 26 31 52 62 104 124 248 403 806 1612 1657 2111 3224 3314 4222 6628 8444 13256 16888 21541 27443 43082 51367 54886 65441 86164 102734 109772 130882 172328 205468 219544 261764 410936 523528 667771 850733 1335542 1701466 2671084 3402932 3497927 5342168 6805864 6995854 13991708 27983416 45473051 90946102 108435737 181892204 216871474 363784408 433742948 867485896 1409664581 2819329162 5638658324 11277316648