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11839080264 = 23311436411627
BaseRepresentation
bin10110000011010101…
…00000011101001000
31010120002022120222020
423001222200131020
5143221301032024
65234440324440
7566245343664
oct130152403510
933502276866
1011839080264
115025941260
122364a73720
131168a1154b
148044cd8a4
15494585979
hex2c1aa0748

11839080264 has 128 divisors (see below), whose sum is σ = 33111175680. Its totient is φ = 3496550400.

The previous prime is 11839080259. The next prime is 11839080271. The reversal of 11839080264 is 46208093811.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7275819 + ... + 7277445.

It is an arithmetic number, because the mean of its divisors is an integer number (258681060).

Almost surely, 211839080264 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 11839080264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16555587840).

11839080264 is an abundant number, since it is smaller than the sum of its proper divisors (21272095416).

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

11839080264 is a wasteful number, since it uses less digits than its factorization.

11839080264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2331 (or 2327 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 11839080264 in words is "eleven billion, eight hundred thirty-nine million, eighty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 43 44 66 86 88 129 132 172 258 264 344 473 516 641 946 1032 1282 1419 1627 1892 1923 2564 2838 3254 3784 3846 4881 5128 5676 6508 7051 7692 9762 11352 13016 14102 15384 17897 19524 21153 27563 28204 35794 39048 42306 53691 55126 56408 69961 71588 82689 84612 107382 110252 139922 143176 165378 169224 209883 214764 220504 279844 303193 330756 419766 429528 559688 606386 661512 769571 839532 909579 1042907 1212772 1539142 1679064 1819158 2085814 2308713 2425544 3078284 3128721 3638316 4171628 4617426 6156568 6257442 7276632 8343256 9234852 11471977 12514884 18469704 22943954 25029768 34415931 44845001 45887908 68831862 89690002 91775816 134535003 137663724 179380004 269070006 275327448 358760008 493295011 538140012 986590022 1076280024 1479885033 1973180044 2959770066 3946360088 5919540132 11839080264