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11812557834 = 2337117140013
BaseRepresentation
bin10110000000001010…
…10101010000001010
31010111020102010001000
423000011111100022
5143143003322314
65232052035430
7565504041060
oct130005252012
933436363030
1011812557834
1150119765a0
122358002b76
1311633863bc
14800b88030
15492097209
hex2c015540a

11812557834 has 128 divisors (see below), whose sum is σ = 33189212160. Its totient is φ = 3024907200.

The previous prime is 11812557817. The next prime is 11812557839. The reversal of 11812557834 is 43875521811.

11812557834 is a `hidden beast` number, since 1 + 1 + 8 + 12 + 557 + 83 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 11812557834.

It is not an unprimeable number, because it can be changed into a prime (11812557839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275212 + ... + 315224.

It is an arithmetic number, because the mean of its divisors is an integer number (259290720).

Almost surely, 211812557834 is an apocalyptic number.

11812557834 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11812557834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16594606080).

11812557834 is an abundant number, since it is smaller than the sum of its proper divisors (21376654326).

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

11812557834 is a wasteful number, since it uses less digits than its factorization.

11812557834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40113 (or 40107 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The spelling of 11812557834 in words is "eleven billion, eight hundred twelve million, five hundred fifty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 71 77 99 126 142 154 189 198 213 231 297 378 426 462 497 594 639 693 781 994 1278 1386 1491 1562 1917 2079 2343 2982 3834 4158 4473 4686 5467 7029 8946 10934 13419 14058 16401 21087 26838 32802 40013 42174 49203 80026 98406 120039 147609 240078 280091 295218 360117 440143 560182 720234 840273 880286 1080351 1320429 1680546 2160702 2520819 2640858 2840923 3081001 3961287 5041638 5681846 6162002 7562457 7922574 8522769 9243003 11883861 15124914 17045538 18486006 19886461 23767722 25568307 27729009 31250153 39772922 51136614 55458018 59659383 62500306 76704921 83187027 93750459 119318766 153409842 166374054 178978149 187500918 218751071 281251377 357956298 437502142 536934447 562502754 656253213 843754131 1073868894 1312506426 1687508262 1968759639 3937519278 5906278917 11812557834