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502042065126426 = 234112343573281117
BaseRepresentation
bin111001000100110101100011…
…0111101000100010000011010
32102211120202022201101022210000
41302021223012331010100122
51011300424122133021201
64535430535112233430
7210514225250223336
oct16211530675042032
92384522281338700
10502042065126426
11135a69931610750
124838314799b876
1318719495aa80c6
148bd8d738867c6
153d093ed83bd86
hex1c89ac6f4441a

502042065126426 has 160 divisors (see below), whose sum is σ = 1280605009166208. Its totient is φ = 145515581861760.

The previous prime is 502042065126389. The next prime is 502042065126461. The reversal of 502042065126426 is 624621560240205.

502042065126426 is a `hidden beast` number, since 5 + 0 + 2 + 0 + 4 + 206 + 5 + 12 + 6 + 426 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1785742420 + ... + 1786023536.

Almost surely, 2502042065126426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 502042065126426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640302504583104).

502042065126426 is an abundant number, since it is smaller than the sum of its proper divisors (778562944039782).

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

502042065126426 is a wasteful number, since it uses less digits than its factorization.

502042065126426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324738 (or 324729 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 502042065126426 in words is "five hundred two trillion, forty-two billion, sixty-five million, one hundred twenty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 138 162 198 207 253 297 414 506 594 621 759 891 1242 1518 1782 1863 2277 3726 4554 6831 13662 20493 40986 43573 87146 130719 261438 281117 392157 479303 562234 784314 843351 958606 1002179 1176471 1437909 1686702 2004358 2352942 2530053 2875818 3006537 3092287 3529413 4313727 5060106 6013074 6184574 6465691 7058826 7590159 8627454 9019611 9276861 11023969 12931382 12941181 15180318 18039222 18553722 19397073 22047938 22770477 25882362 27058833 27830583 33071907 38794146 38823543 45540954 54117666 55661166 58191219 66143814 71122601 77647086 81176499 83491749 99215721 116382438 142245202 162352998 166983498 174573657 198431442 213367803 250475247 297647163 349147314 426735606 500950494 523720971 595294326 640103409 892941489 1047441942 1280206818 1785882978 1920310227 3840620454 5760930681 11521861362 12249111041 24498222082 36747333123 73494666246 110241999369 134740221451 220483998738 269480442902 281729553943 330725998107 404220664353 563459107886 661451996214 808441328706 845188661829 992177994321 1212661993059 1690377323658 1984355988642 2425323986118 2535565985487 3099025093373 3637985979177 5071131970974 6198050186746 7275971958354 7606697956461 9297075280119 10913957937531 15213395912922 18594150560238 21827915875062 22820093869383 27891225840357 45640187738766 55782451680714 83673677521071 167347355042142 251021032563213 502042065126426