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755240950116 = 223224126012
BaseRepresentation
bin10101111110101111101…
…11100101100101100100
32200012102001002102100100
422333113313211211210
544333213140400431
61334541454344100
7105364401104142
oct12772767454544
92605361072310
10755240950116
11271328911084
121024547bb030
13562acc5c983
14287a7ad8592
15149a3aeb4e6
hexafd7de5964

755240950116 has 81 divisors (see below), whose sum is σ = 1920230709579. Its totient is φ = 250285248000.

The previous prime is 755240950109. The next prime is 755240950117. The reversal of 755240950116 is 611059042557.

It is a happy number.

The square root of 755240950116 is 869046.

It is a perfect power (a square), and thus also a powerful number.

755240950116 is a `hidden beast` number, since 7 + 5 + 524 + 0 + 9 + 5 + 0 + 116 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 268483567716 + 486757382400 = 518154^2 + 697680^2 .

It is not an unprimeable number, because it can be changed into a prime (755240950117) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1256640216 + ... + 1256640816.

Almost surely, 2755240950116 is an apocalyptic number.

755240950116 is the 869046-th square number.

It is an amenable number.

755240950116 is an abundant number, since it is smaller than the sum of its proper divisors (1164989759463).

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

755240950116 is an equidigital number, since it uses as much as digits as its factorization.

755240950116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1694 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 755240950116 in words is "seven hundred fifty-five billion, two hundred forty million, nine hundred fifty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 241 482 601 723 964 1202 1446 1803 2169 2404 2892 3606 4338 5409 7212 8676 10818 21636 58081 116162 144841 174243 232324 289682 348486 361201 434523 522729 579364 696972 722402 869046 1045458 1083603 1303569 1444804 1738092 2090916 2167206 2607138 3250809 4334412 5214276 6501618 13003236 34906681 69813362 87049441 104720043 139626724 174098882 209440086 261148323 314160129 348197764 418880172 522296646 628320258 783444969 1044593292 1256640516 1566889938 3133779876 20978915281 41957830562 62936745843 83915661124 125873491686 188810237529 251746983372 377620475058 755240950116