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11342776320 = 211325123077
BaseRepresentation
bin10101001000001010…
…10000100000000000
31002021111102201221200
422210011100200000
5141212222320240
65113311021200
7551041002501
oct124405204000
932244381850
1011342776320
1148a0779807
12224680a800
1310b9c51885
1479861aba8
15465bec930
hex2a4150800

11342776320 has 144 divisors (see below), whose sum is σ = 39312343980. Its totient is φ = 3024715776.

The previous prime is 11342776309. The next prime is 11342776391. The reversal of 11342776320 is 2367724311.

11342776320 is a `hidden beast` number, since 1 + 13 + 4 + 2 + 7 + 7 + 632 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11212268544 + 130507776 = 105888^2 + 11424^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30622 + ... + 153698.

Almost surely, 211342776320 is an apocalyptic number.

11342776320 is a gapful number since it is divisible by the number (10) 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 11342776320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19656171990).

11342776320 is an abundant number, since it is smaller than the sum of its proper divisors (27969567660).

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

11342776320 is a wasteful number, since it uses less digits than its factorization.

11342776320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123110 (or 123087 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 11342776320 in words is "eleven billion, three hundred forty-two million, seven hundred seventy-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 15360 18432 23040 30720 46080 92160 123077 246154 369231 492308 615385 738462 984616 1107693 1230770 1476924 1846155 1969232 2215386 2461540 2953848 3692310 3938464 4430772 4923080 5538465 5907696 7384620 7876928 8861544 9846160 11076930 11815392 14769240 15753856 17723088 19692320 22153860 23630784 29538480 31507712 35446176 39384640 44307720 47261568 59076960 63015424 70892352 78769280 88615440 94523136 118153920 126030848 141784704 157538560 177230880 189046272 236307840 252061696 283569408 315077120 354461760 378092544 472615680 567138816 630154240 708923520 756185088 945231360 1134277632 1260308480 1417847040 1890462720 2268555264 2835694080 3780925440 5671388160 11342776320