Search a number
-
+
10661560050 = 2352412716397
BaseRepresentation
bin10011110110111101…
…00111111011110010
31000112000121100220110
421323132213323302
5133313324410200
64521534122150
7525126523311
oct117336477362
930460540813
1010661560050
114581199959
122096650356
13100ba8b11b
14731d72278
15425edab50
hex27b7a7ef2

10661560050 has 96 divisors (see below), whose sum is σ = 27189759744. Its totient is φ = 2763072000.

The previous prime is 10661560037. The next prime is 10661560109. The reversal of 10661560050 is 5006516601.

It is a super-2 number, since 2×106615600502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1663452 + ... + 1669848.

It is an arithmetic number, because the mean of its divisors is an integer number (283226664).

Almost surely, 210661560050 is an apocalyptic number.

10661560050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10661560050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13594879872).

10661560050 is an abundant number, since it is smaller than the sum of its proper divisors (16528199694).

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

10661560050 is a wasteful number, since it uses less digits than its factorization.

10661560050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6719 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10661560050 in words is "ten billion, six hundred sixty-one million, five hundred sixty thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 41 50 75 82 123 150 205 246 271 410 542 615 813 1025 1230 1355 1626 2050 2710 3075 4065 6150 6397 6775 8130 11111 12794 13550 19191 20325 22222 31985 33333 38382 40650 55555 63970 66666 95955 111110 159925 166665 191910 262277 277775 319850 333330 479775 524554 555550 786831 833325 959550 1311385 1573662 1666650 1733587 2622770 3467174 3934155 5200761 6556925 7868310 8667935 10401522 13113850 17335870 19670775 26003805 39341550 43339675 52007610 71077067 86679350 130019025 142154134 213231201 260038050 355385335 426462402 710770670 1066156005 1776926675 2132312010 3553853350 5330780025 10661560050