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11263930080 = 2535131805117
BaseRepresentation
bin10100111110110000…
…11110111011100000
31002002000001221020120
422133120132323200
5141032031230310
65101413040240
7546062553204
oct123730367340
932060057216
1011263930080
114860216427
122224326080
1310a68066b0
1478bd74b04
1545dd25b70
hex29f61eee0

11263930080 has 96 divisors (see below), whose sum is σ = 38210737824. Its totient is φ = 2772658176.

The previous prime is 11263930063. The next prime is 11263930087. The reversal of 11263930080 is 8003936211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112639300802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11263930087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 896319 + ... + 908798.

It is an arithmetic number, because the mean of its divisors is an integer number (398028519).

Almost surely, 211263930080 is an apocalyptic number.

11263930080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11263930080 is an abundant number, since it is smaller than the sum of its proper divisors (26946807744).

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

11263930080 is a wasteful number, since it uses less digits than its factorization.

11263930080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1805148 (or 1805140 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The spelling of 11263930080 in words is "eleven billion, two hundred sixty-three million, nine hundred thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 1805117 3610234 5415351 7220468 9025585 10830702 14440936 18051170 21661404 23466521 27076755 28881872 36102340 43322808 46933042 54153510 57763744 70399563 72204680 86645616 93866084 108307020 117332605 140799126 144409360 173291232 187732168 216614040 234665210 281598252 288818720 351997815 375464336 433228080 469330420 563196504 703995630 750928672 866456160 938660840 1126393008 1407991260 1877321680 2252786016 2815982520 3754643360 5631965040 11263930080