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10161224415 = 345197318089
BaseRepresentation
bin10010111011010011…
…11111101011011111
3222020011010200110000
421131221333223133
5131302233140130
64400142145343
7506542660656
oct113551775337
928204120400
1010161224415
114344823331
121b76b82253
13c5c219334
146c573019d
153e7108260
hex25da7fadf

10161224415 has 80 divisors (see below), whose sum is σ = 19437343200. Its totient is φ = 5063482368.

The previous prime is 10161224399. The next prime is 10161224417. The reversal of 10161224415 is 51442216101.

10161224415 is a `hidden beast` number, since 1 + 0 + 1 + 612 + 2 + 4 + 41 + 5 = 666.

It is not a de Polignac number, because 10161224415 - 24 = 10161224399 is a prime.

It is a super-2 number, since 2×101612244152 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10161224417) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 552691 + ... + 570779.

It is an arithmetic number, because the mean of its divisors is an integer number (242966790).

Almost surely, 210161224415 is an apocalyptic number.

10161224415 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10161224415 is a deficient number, since it is larger than the sum of its proper divisors (9276118785).

10161224415 is a wasteful number, since it uses less digits than its factorization.

10161224415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18198 (or 18189 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 10161224415 in words is "ten billion, one hundred sixty-one million, two hundred twenty-four thousand, four hundred fifteen".

Divisors: 1 3 5 9 15 19 27 45 57 73 81 95 135 171 219 285 365 405 513 657 855 1095 1387 1539 1971 2565 3285 4161 5913 6935 7695 9855 12483 18089 20805 29565 37449 54267 62415 90445 112347 162801 187245 271335 343691 488403 561735 814005 1031073 1320497 1465209 1718455 2442015 3093219 3961491 5155365 6602485 7326045 9279657 11884473 15466095 19807455 25089443 27838971 35653419 46398285 59422365 75268329 106960257 125447215 139194855 178267095 225804987 376341645 534801285 677414961 1129024935 2032244883 3387074805 10161224415