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11649501882 = 2321938388937
BaseRepresentation
bin10101101100101110…
…10100101010111010
31010001212121000022200
422312113110222322
5142324233030012
65203545131030
7561454063224
oct126627245272
933055530280
1011649501882
114a38927207
122311489a76
1311386659a5
147c7261414
15482ad93dc
hex2b65d4aba

11649501882 has 48 divisors (see below), whose sum is σ = 26638709760. Its totient is φ = 3669143616.

The previous prime is 11649501839. The next prime is 11649501883. The reversal of 11649501882 is 28810594611.

It is a happy number.

11649501882 is a `hidden beast` number, since 1 + 1 + 64 + 9 + 501 + 8 + 82 = 666.

It is not an unprimeable number, because it can be changed into a prime (11649501883) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 86518 + ... + 175454.

It is an arithmetic number, because the mean of its divisors is an integer number (554973120).

Almost surely, 211649501882 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11649501882, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13319354880).

11649501882 is an abundant number, since it is smaller than the sum of its proper divisors (14989207878).

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

11649501882 is a wasteful number, since it uses less digits than its factorization.

11649501882 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89347 (or 89344 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11649501882 in words is "eleven billion, six hundred forty-nine million, five hundred one thousand, eight hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 383 766 1149 2298 3447 6894 7277 14554 21831 43662 65493 88937 130986 177874 266811 533622 800433 1600866 1689803 3379606 5069409 10138818 15208227 30416454 34062871 68125742 102188613 204377226 306565839 613131678 647194549 1294389098 1941583647 3883167294 5824750941 11649501882