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11345335740 = 2233539475323
BaseRepresentation
bin10101001000011110…
…00001010110111100
31002021200020202211000
422210033001112330
5141213401220430
65113441530300
7551101522404
oct124417012674
932250222730
1011345335740
1148a2167732
122247643990
1310ba63981b
14798ac5804
15466055e60
hex2a43c15bc

11345335740 has 96 divisors (see below), whose sum is σ = 35312175360. Its totient is φ = 3024088128.

The previous prime is 11345335711. The next prime is 11345335751. The reversal of 11345335740 is 4753354311.

11345335740 is a `hidden beast` number, since 1 + 1 + 34 + 53 + 3 + 574 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11345335695 and 11345335704.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2128719 + ... + 2134041.

It is an arithmetic number, because the mean of its divisors is an integer number (367835160).

Almost surely, 211345335740 is an apocalyptic number.

11345335740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11345335740 is an abundant number, since it is smaller than the sum of its proper divisors (23966839620).

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

11345335740 is a wasteful number, since it uses less digits than its factorization.

11345335740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9288 (or 9280 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 11345335740 in words is "eleven billion, three hundred forty-five million, three hundred thirty-five thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 3947 5323 7894 10646 11841 15788 15969 19735 21292 23682 26615 31938 35523 39470 47364 47907 53230 59205 63876 71046 78940 79845 95814 106460 106569 118410 142092 143721 159690 177615 191628 213138 236820 239535 287442 319380 355230 426276 479070 532845 574884 710460 718605 958140 1065690 1437210 2131380 2874420 21009881 42019762 63029643 84039524 105049405 126059286 189088929 210098810 252118572 315148215 378177858 420197620 567266787 630296430 756355716 945444645 1134533574 1260592860 1890889290 2269067148 2836333935 3781778580 5672667870 11345335740