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11359309368 = 23311235873187
BaseRepresentation
bin10101001010001000…
…10100111000111000
31002022122112201000210
422211010110320320
5141230440344433
65115101231120
7551331352011
oct124504247070
932278481023
1011359309368
1148aa041290
1222502624a0
1310c04bcc44
1479a8c2008
154673b6463
hex2a5114e38

11359309368 has 128 divisors (see below), whose sum is σ = 32392120320. Its totient is φ = 3285912960.

The previous prime is 11359309327. The next prime is 11359309369. The reversal of 11359309368 is 86390395311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11359309369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3562671 + ... + 3565857.

It is an arithmetic number, because the mean of its divisors is an integer number (253063440).

Almost surely, 211359309368 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 11359309368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16196060160).

11359309368 is an abundant number, since it is smaller than the sum of its proper divisors (21032810952).

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

11359309368 is a wasteful number, since it uses less digits than its factorization.

11359309368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3817 (or 3813 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 11359309368 in words is "eleven billion, three hundred fifty-nine million, three hundred nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 552 587 759 1012 1174 1518 1761 2024 2348 3036 3187 3522 4696 6072 6374 6457 7044 9561 12748 12914 13501 14088 19122 19371 25496 25828 27002 35057 38244 38742 40503 51656 54004 70114 73301 76488 77484 81006 105171 108008 140228 146602 148511 154968 162012 210342 219903 280456 293204 297022 324024 420684 439806 445533 586408 594044 806311 841368 879612 891066 1188088 1612622 1759224 1782132 1870769 2418933 3225244 3564264 3741538 4837866 5612307 6450488 7483076 9675732 11224614 14966152 19351464 20578459 22449228 41156918 43027687 44898456 61735377 82313836 86055374 123470754 129083061 164627672 172110748 246941508 258166122 344221496 473304557 493883016 516332244 946609114 1032664488 1419913671 1893218228 2839827342 3786436456 5679654684 11359309368