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10402055442522 = 2341719234784701
BaseRepresentation
bin1001011101011110101011…
…0100011101000001011010
31100211102112010110220220000
42113113222310131001122
52330411402143130042
634042345512313430
72122344426253152
oct227275264350132
940742463426800
1010402055442522
11335053a130847
1211bbba33a2876
135a5ba9583633
1427d66829d762
151308ac00174c
hex975ead1d05a

10402055442522 has 160 divisors (see below), whose sum is σ = 25989677081280. Its totient is φ = 3090278822400.

The previous prime is 10402055442479. The next prime is 10402055442563. The reversal of 10402055442522 is 22524455020401.

10402055442522 is a `hidden beast` number, since 1 + 0 + 4 + 0 + 205 + 5 + 4 + 425 + 22 = 666.

It is a super-2 number, since 2×104020554425222 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 122766772 + ... + 122851472.

It is an arithmetic number, because the mean of its divisors is an integer number (162435481758).

Almost surely, 210402055442522 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10402055442522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12994838540640).

10402055442522 is an abundant number, since it is smaller than the sum of its proper divisors (15587621638758).

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

10402055442522 is a wasteful number, since it uses less digits than its factorization.

10402055442522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87098 (or 87089 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 36.

The spelling of 10402055442522 in words is "ten trillion, four hundred two billion, fifty-five million, four hundred forty-two thousand, five hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 19 27 34 38 51 54 57 81 102 114 153 162 171 306 323 342 459 513 646 918 969 1026 1377 1539 1938 2347 2754 2907 3078 4694 5814 7041 8721 14082 17442 21123 26163 39899 42246 44593 52326 63369 79798 84701 89186 119697 126738 133779 169402 190107 239394 254103 267558 359091 380214 401337 508206 718182 758081 762309 802674 1077273 1204011 1439917 1516162 1524618 1609319 2154546 2274243 2286927 2408022 2879834 3218638 3231819 3612033 4319751 4548486 4573854 4827957 6463638 6822729 6860781 7224066 8639502 9655914 12959253 13645458 13721562 14483871 20468187 25918506 27358423 28967742 38877759 40936374 43451613 54716846 61404561 77755518 82075269 86903226 116633277 122809122 130354839 164150538 198793247 233266554 246225807 260709678 397586494 492451614 596379741 738677421 1192759482 1477354842 1789139223 2216032263 3379485199 3578278446 3777071693 4432064526 5367417669 6758970398 7554143386 10138455597 10734835338 11331215079 16102253007 20276911194 22662430158 30415366791 32204506014 33993645237 60830733582 64210218781 67987290474 91246100373 101980935711 128420437562 182492200746 192630656343 203961871422 273738301119 305942807133 385261312686 547476602238 577891969029 611885614266 1155783938058 1733675907087 3467351814174 5201027721261 10402055442522