Search a number
-
+
11726045616 = 2433161129187
BaseRepresentation
bin10101110101110110…
…10100000110110000
31010021012121211120210
422322323110012300
5143003331424431
65215321504120
7563403512625
oct127273240660
933235554523
1011726045616
114a7805769a
122333042040
13114b485b3c
147d34a834c
154896a8d46
hex2baed41b0

11726045616 has 80 divisors (see below), whose sum is σ = 31782315008. Its totient is φ = 3720556800.

The previous prime is 11726045537. The next prime is 11726045621. The reversal of 11726045616 is 61654062711.

11726045616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26175 + ... + 155361.

Almost surely, 211726045616 is an apocalyptic number.

11726045616 is a gapful number since it is divisible by the number (16) 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 11726045616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15891157504).

11726045616 is an abundant number, since it is smaller than the sum of its proper divisors (20056269392).

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

11726045616 is a wasteful number, since it uses less digits than its factorization.

11726045616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129290 (or 129284 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 11726045616 in words is "eleven billion, seven hundred twenty-six million, forty-five thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 61 62 93 122 124 183 186 244 248 366 372 488 496 732 744 976 1464 1488 1891 2928 3782 5673 7564 11346 15128 22692 30256 45384 90768 129187 258374 387561 516748 775122 1033496 1550244 2066992 3100488 4004797 6200976 7880407 8009594 12014391 15760814 16019188 23641221 24028782 31521628 32038376 47282442 48057564 63043256 64076752 94564884 96115128 126086512 189129768 192230256 244292617 378259536 488585234 732877851 977170468 1465755702 1954340936 2931511404 3908681872 5863022808 11726045616