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10115067324304 = 2429591312820509
BaseRepresentation
bin1001001100110001100011…
…1111101010011110010000
31022210222202102200222100101
42103030120333222132100
52311211124213334204
633302444153102144
72062534540433065
oct223143077523620
938728672628311
1010115067324304
11324a859894958
12117444b6b7954
13584b01426977
1426d8012dac6c
151281b1d3eea4
hex93318fea790

10115067324304 has 80 divisors (see below), whose sum is σ = 20774748456000. Its totient is φ = 4763725191680.

The previous prime is 10115067324277. The next prime is 10115067324317. The reversal of 10115067324304 is 40342376051101.

It is a happy number.

10115067324304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101150673243043 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2176002 + ... + 4996510.

It is an arithmetic number, because the mean of its divisors is an integer number (259684355700).

Almost surely, 210115067324304 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 10115067324304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10387374228000).

10115067324304 is an abundant number, since it is smaller than the sum of its proper divisors (10659681131696).

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

10115067324304 is a wasteful number, since it uses less digits than its factorization.

10115067324304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2820736 (or 2820730 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 10115067324304 in words is "ten trillion, one hundred fifteen billion, sixty-seven million, three hundred twenty-four thousand, three hundred four".

Divisors: 1 2 4 8 16 29 58 59 116 118 131 232 236 262 464 472 524 944 1048 1711 2096 3422 3799 6844 7598 7729 13688 15196 15458 27376 30392 30916 60784 61832 123664 224141 448282 896564 1793128 2820509 3586256 5641018 11282036 22564072 45128144 81794761 163589522 166410031 327179044 332820062 369486679 654358088 665640124 738973358 1308716176 1331280248 1477946716 2662560496 2955893432 4825890899 5911786864 9651781798 10715113691 19303563596 21430227382 21799714061 38607127192 42860454764 43599428122 77214254384 85720909528 87198856244 171441819056 174397712488 348795424976 632191707769 1264383415538 2528766831076 5057533662152 10115067324304