Search a number
-
+
11902098516 = 22371189144731
BaseRepresentation
bin10110001010110101…
…11001110001010100
31010201110220020202120
423011122321301110
5143333414123031
65245011135540
7600642111450
oct130532716124
933643806676
1011902098516
115058473860
122381ba45b0
131178aa7259
1480ca15660
15499d82a96
hex2c56b9c54

11902098516 has 96 divisors (see below), whose sum is σ = 35013565440. Its totient is φ = 3056697600.

The previous prime is 11902098499. The next prime is 11902098563. The reversal of 11902098516 is 61589020911.

11902098516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 9871 + ... + 154601.

It is an arithmetic number, because the mean of its divisors is an integer number (364724640).

Almost surely, 211902098516 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 11902098516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17506782720).

11902098516 is an abundant number, since it is smaller than the sum of its proper divisors (23111466924).

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

11902098516 is a wasteful number, since it uses less digits than its factorization.

11902098516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144845 (or 144843 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 42.

The spelling of 11902098516 in words is "eleven billion, nine hundred two million, ninety-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 89 132 154 178 231 267 308 356 462 534 623 924 979 1068 1246 1869 1958 2492 2937 3738 3916 5874 6853 7476 11748 13706 20559 27412 41118 82236 144731 289462 434193 578924 868386 1013117 1592041 1736772 2026234 3039351 3184082 4052468 4776123 6078702 6368164 9552246 11144287 12157404 12881059 19104492 22288574 25762118 33432861 38643177 44577148 51524236 66865722 77286354 90167413 133731444 141691649 154572708 180334826 270502239 283383298 360669652 425074947 541004478 566766596 850149894 991841543 1082008956 1700299788 1983683086 2975524629 3967366172 5951049258 11902098516