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10493395416 = 23327203910211
BaseRepresentation
bin10011100010111010…
…01000000111011000
31000002022011201101200
421301131020013120
5132442302123131
64453125514200
7521015250360
oct116135100730
930068151350
1010493395416
1144a5280319
12204a272960
13cb2c9c31a
147178b99a0
1541636e2e6
hex2717481d8

10493395416 has 96 divisors (see below), whose sum is σ = 32498668800. Its totient is φ = 2996349120.

The previous prime is 10493395379. The next prime is 10493395427. The reversal of 10493395416 is 61459339401.

10493395416 is a `hidden beast` number, since 10 + 4 + 93 + 3 + 9 + 541 + 6 = 666.

It is a super-2 number, since 2×104933954162 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022551 + ... + 1032761.

It is an arithmetic number, because the mean of its divisors is an integer number (338527800).

Almost surely, 210493395416 is an apocalyptic number.

It is an amenable number.

10493395416 is an abundant number, since it is smaller than the sum of its proper divisors (22005273384).

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

10493395416 is a wasteful number, since it uses less digits than its factorization.

10493395416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12269 (or 12262 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 10493395416 in words is "ten billion, four hundred ninety-three million, three hundred ninety-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2039 4078 6117 8156 10211 12234 14273 16312 18351 20422 24468 28546 30633 36702 40844 42819 48936 57092 61266 71477 73404 81688 85638 91899 114184 122532 128457 142954 146808 171276 183798 214431 245064 256914 285908 342552 367596 428862 513828 571816 643293 735192 857724 1027656 1286586 1715448 2573172 5146344 20820229 41640458 62460687 83280916 124921374 145741603 166561832 187382061 249842748 291483206 374764122 437224809 499685496 582966412 749528244 874449618 1165932824 1311674427 1499056488 1748899236 2623348854 3497798472 5246697708 10493395416