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10064333215116 = 223219101331343973
BaseRepresentation
bin1001001001110100100100…
…0000011001010110001100
31022122010210200112012020100
42102131021000121112030
52304343223300340431
633223254005051100
72056060362554235
oct222351100312614
938563720465210
1010064333215116
1132302947a57a4
1211666509b6a90
135800a756440b
1426b18b2b408c
15126be2cdb4e6
hex9274901958c

10064333215116 has 144 divisors (see below), whose sum is σ = 27053286755040. Its totient is φ = 3145721702400.

The previous prime is 10064333215091. The next prime is 10064333215129. The reversal of 10064333215116 is 61151233346001.

10064333215116 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 433 + 3 + 215 + 1 + 1 + 6 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228853306 + ... + 228897278.

It is an arithmetic number, because the mean of its divisors is an integer number (187870046910).

Almost surely, 210064333215116 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 10064333215116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13526643377520).

10064333215116 is an abundant number, since it is smaller than the sum of its proper divisors (16988953539924).

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

10064333215116 is a wasteful number, since it uses less digits than its factorization.

10064333215116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47416 (or 47411 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 10064333215116 in words is "ten trillion, sixty-four billion, three hundred thirty-three million, two hundred fifteen thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 101 114 171 202 228 303 342 404 606 684 909 1212 1818 1919 3313 3636 3838 5757 6626 7676 9939 11514 13252 17271 19878 23028 29817 34542 39756 43973 59634 62947 69084 87946 119268 125894 131919 175892 188841 251788 263838 334613 377682 395757 527676 566523 669226 755364 791514 835487 1003839 1133046 1338452 1583028 1670974 2007678 2266092 2506461 3011517 3341948 4015356 4441273 5012922 6023034 6357647 7519383 8882546 10025844 12046068 12715294 13323819 15038766 17765092 19072941 25430588 26647638 30077532 38145882 39971457 53295276 57218823 76291764 79942914 84384187 114437646 145682549 159885828 168768374 228875292 253152561 291365098 337536748 437047647 506305122 582730196 759457683 874095294 1012610244 1311142941 1518915366 1748190588 2622285882 2767968431 3037830732 5244571764 5535936862 8303905293 11071873724 14713937449 16607810586 24911715879 29427874898 33215621172 44141812347 49823431758 58855749796 88283624694 99646863516 132425437041 176567249388 264850874082 279564811531 529701748164 559129623062 838694434593 1118259246124 1677388869186 2516083303779 3354777738372 5032166607558 10064333215116