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11503716896 = 2571912721283
BaseRepresentation
bin10101011011010110…
…01100101000100000
31002200201021100220202
422231223030220200
5142024422420041
65141300324332
7555033660140
oct125553145040
932621240822
1011503716896
114973603851
1222906a36a8
1311143b1499
147b1b52920
15474ddda9b
hex2adacca20

11503716896 has 96 divisors (see below), whose sum is σ = 27461468160. Its totient is φ = 4633687296.

The previous prime is 11503716863. The next prime is 11503716919. The reversal of 11503716896 is 69861730511.

It is a self number, because there is not a number n which added to its sum of digits gives 11503716896.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529871 + ... + 551153.

It is an arithmetic number, because the mean of its divisors is an integer number (286056960).

Almost surely, 211503716896 is an apocalyptic number.

11503716896 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 11503716896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13730734080).

11503716896 is an abundant number, since it is smaller than the sum of its proper divisors (15957751264).

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

11503716896 is a wasteful number, since it uses less digits than its factorization.

11503716896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21446 (or 21438 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 47.

The spelling of 11503716896 in words is "eleven billion, five hundred three million, seven hundred sixteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 127 133 152 224 254 266 304 508 532 608 889 1016 1064 1778 2032 2128 2413 3556 4064 4256 4826 7112 9652 14224 16891 19304 21283 28448 33782 38608 42566 67564 77216 85132 135128 148981 170264 270256 297962 340528 404377 540512 595924 681056 808754 1191848 1617508 2383696 2702941 2830639 3235016 4767392 5405882 5661278 6470032 10811764 11322556 12940064 18920587 21623528 22645112 37841174 43247056 45290224 51355879 75682348 86494112 90580448 102711758 151364696 205423516 302729392 359491153 410847032 605458784 718982306 821694064 1437964612 1643388128 2875929224 5751858448 11503716896