Search a number
-
+
10550499261672 = 233291091271095049
BaseRepresentation
bin1001100110000111101011…
…0000101011110011101000
31101100121200102201020221210
42121201322300223303220
52340324410302333142
634234455450433120
72136151131020046
oct231417260536350
941317612636853
1010550499261672
1133a8494867217
121224910a327a0
135b6ba5600006
1428690b0c5396
1513469918a49c
hex9987ac2bce8

10550499261672 has 128 divisors (see below), whose sum is σ = 27752947200000. Its totient is φ = 3337916553216.

The previous prime is 10550499261671. The next prime is 10550499261689. The reversal of 10550499261672 is 27616299405501.

10550499261672 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-2 number, since 2×105504992616722 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10550499261671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9087204 + ... + 10182252.

It is an arithmetic number, because the mean of its divisors is an integer number (216819900000).

Almost surely, 210550499261672 is an apocalyptic number.

10550499261672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10550499261672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13876473600000).

10550499261672 is an abundant number, since it is smaller than the sum of its proper divisors (17202447938328).

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

10550499261672 is a wasteful number, since it uses less digits than its factorization.

10550499261672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1095323 (or 1095319 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 57.

The spelling of 10550499261672 in words is "ten trillion, five hundred fifty billion, four hundred ninety-nine million, two hundred sixty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 109 116 127 174 218 232 254 327 348 381 436 508 654 696 762 872 1016 1308 1524 2616 3048 3161 3683 6322 7366 9483 11049 12644 13843 14732 18966 22098 25288 27686 29464 37932 41529 44196 55372 75864 83058 88392 110744 166116 332232 401447 802894 1095049 1204341 1605788 2190098 2408682 3211576 3285147 4380196 4817364 6570294 8760392 9634728 13140588 26281176 31756421 63512842 95269263 119360341 127025684 139071223 190538526 238720682 254051368 278142446 358081023 381077052 417213669 477441364 556284892 716162046 762154104 834427338 954882728 1112569784 1432324092 1668854676 2864648184 3337709352 3461449889 4033065467 6922899778 8066130934 10384349667 12099196401 13845799556 15158763307 16132261868 20768699334 24198392802 27691599112 30317526614 32264523736 41537398668 45476289921 48396785604 60635053228 83074797336 90952579842 96793571208 121270106456 181905159684 363810319368 439604135903 879208271806 1318812407709 1758416543612 2637624815418 3516833087224 5275249630836 10550499261672