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12534404342512 = 24133147339112197
BaseRepresentation
bin1011011001100110010010…
…1101111110001011110000
31122101021111012010111111211
42312121210231332023300
53120330430002430022
642354120441445504
72432403136663423
oct266314455761360
948337435114454
1012534404342512
113aa28a1531018
1214a53027a0894
136cbcb2526180
143149501759ba
1516b0ae172e77
hexb6664b7e2f0

12534404342512 has 160 divisors (see below), whose sum is σ = 27581978640384. Its totient is φ = 5477311411200.

The previous prime is 12534404342503. The next prime is 12534404342519. The reversal of 12534404342512 is 21524340443521.

It is a super-2 number, since 2×125344043425122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12534404342519) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1027656798 + ... + 1027668994.

Almost surely, 212534404342512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12534404342512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13790989320192).

12534404342512 is an abundant number, since it is smaller than the sum of its proper divisors (15047574297872).

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

12534404342512 is a wasteful number, since it uses less digits than its factorization.

12534404342512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15687 (or 15681 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 12534404342512 in words is "twelve trillion, five hundred thirty-four billion, four hundred four million, three hundred forty-two thousand, five hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 47 52 62 94 104 124 188 208 248 376 403 496 611 752 806 1222 1457 1612 2444 2914 3224 3391 4888 5828 6448 6782 9776 11656 12197 13564 18941 23312 24394 27128 37882 44083 48788 54256 75764 88166 97576 105121 151528 158561 159377 176332 195152 210242 303056 317122 318754 352664 378107 420484 573259 634244 637508 705328 756214 840968 1146518 1268488 1275016 1366573 1512428 1681936 2071901 2293036 2536976 2550032 2733146 3024856 4143802 4586072 4915391 4940687 5466292 6049712 7452367 8287604 9172144 9830782 9881374 10932584 14904734 16575208 17771029 19661564 19762748 21865168 29809468 33150416 35542058 39323128 39525496 41360027 59618936 64228931 71084116 78646256 79050992 82720054 119237872 128457862 142168232 165440108 231023377 256915724 284336464 330880216 462046754 513831448 537680351 661760432 924093508 1027662896 1075360702 1282160837 1848187016 1943921269 2150721404 2564321674 3696374032 3887842538 4301442808 5128643348 7775685076 8602885616 10257286696 15551370152 16668090881 20514573392 25270976497 31102740304 33336181762 50541952994 60261559339 66672363524 101083905988 120523118678 133344727048 202167811976 241046237356 266689454096 404335623952 482092474712 783400271407 964184949424 1566800542814 3133601085628 6267202171256 12534404342512