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22113135504 = 24321632833329
BaseRepresentation
bin10100100110000010…
…111010101110010000
32010002002202200012200
4110212002322232100
5330241430314004
614054133123200
71411661356545
oct244602725620
963062680180
1022113135504
119418319aa9
124351789500
132115414585
1410dabd0bcc
1589652a239
hex5260bab90

22113135504 has 120 divisors (see below), whose sum is σ = 62504526240. Its totient is φ = 7297744896.

The previous prime is 22113135487. The next prime is 22113135547. The reversal of 22113135504 is 40553131122.

22113135504 is a `hidden beast` number, since 2 + 21 + 1 + 3 + 135 + 504 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6640912 + ... + 6644240.

It is an arithmetic number, because the mean of its divisors is an integer number (520871052).

Almost surely, 222113135504 is an apocalyptic number.

22113135504 is a gapful number since it is divisible by the number (24) 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 22113135504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31252263120).

22113135504 is an abundant number, since it is smaller than the sum of its proper divisors (40391390736).

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

22113135504 is a wasteful number, since it uses less digits than its factorization.

22113135504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3789 (or 3780 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 22113135504 its reverse (40553131122), we get a palindrome (62666266626).

The spelling of 22113135504 in words is "twenty-two billion, one hundred thirteen million, one hundred thirty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 163 283 326 489 566 652 849 978 1132 1304 1467 1698 1956 2264 2547 2608 2934 3329 3396 3912 4528 5094 5868 6658 6792 7824 9987 10188 11736 13316 13584 19974 20376 23472 26632 29961 39948 40752 46129 53264 59922 79896 92258 119844 138387 159792 184516 239688 276774 369032 415161 479376 542627 553548 738064 830322 942107 1085254 1107096 1627881 1660644 1884214 2170508 2214192 2826321 3255762 3321288 3768428 4341016 4883643 5652642 6511524 6642576 7536856 8478963 8682032 9767286 11305284 13023048 15073712 16957926 19534572 22610568 26046096 33915852 39069144 45221136 67831704 78138288 135663408 153563441 307126882 460690323 614253764 921380646 1228507528 1382070969 1842761292 2457015056 2764141938 3685522584 5528283876 7371045168 11056567752 22113135504