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10541950276 = 221121323592
BaseRepresentation
bin10011101000101100…
…10110010101000100
31000012200112120010211
421310112112111010
5133042214402101
64502022325204
7522145045624
oct116426262504
930180476124
1010541950276
11451a724300
122062589804
13cc006ca00
14720118884
1541a760c51
hex274596544

10541950276 has 81 divisors (see below), whose sum is σ = 22019176893. Its totient is φ = 4410875040.

The previous prime is 10541950273. The next prime is 10541950297. The reversal of 10541950276 is 67205914501.

The square root of 10541950276 is 102674.

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

It can be written as a sum of positive squares in only one way, i.e., 1559460100 + 8982490176 = 39490^2 + 94776^2 .

It is a super-2 number, since 2×105419502762 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10541950273) 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, 29364585 + ... + 29364943.

Almost surely, 210541950276 is an apocalyptic number.

10541950276 is the 102674-th square number.

It is an amenable number.

10541950276 is an abundant number, since it is smaller than the sum of its proper divisors (11477226617).

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

10541950276 is a wasteful number, since it uses less digits than its factorization.

10541950276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 40.

The spelling of 10541950276 in words is "ten billion, five hundred forty-one million, nine hundred fifty thousand, two hundred seventy-six".

Divisors: 1 2 4 11 13 22 26 44 52 121 143 169 242 286 338 359 484 572 676 718 1436 1573 1859 3146 3718 3949 4667 6292 7436 7898 9334 15796 18668 20449 40898 43439 51337 60671 81796 86878 102674 121342 128881 173756 205348 242684 257762 515524 564707 667381 1129414 1334762 1417691 1675453 2258828 2669524 2835382 3350906 5670764 6701812 7341191 14682382 15594601 18429983 21780889 29364764 31189202 36859966 43561778 62378404 73719932 87123556 202729813 239589779 405459626 479179558 810919252 958359116 2635487569 5270975138 10541950276