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10641130650 = 2335253148723
BaseRepresentation
bin10011110100100001…
…01100010010011010
31000110121011110001000
421322100230102122
5133243112140100
64515524205430
7524461055343
oct117220542232
930417143030
1010641130650
114570705a57
12208b839876
131007787417
1472d3750ca
15424302900
hex27a42c49a

10641130650 has 96 divisors (see below), whose sum is σ = 29875677120. Its totient is φ = 2784075840.

The previous prime is 10641130639. The next prime is 10641130657. The reversal of 10641130650 is 5603114601.

10641130650 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 1 + 1 + 3 + 0 + 650 = 666.

It is a super-2 number, since 2×106411306502 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10641130657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2812 + ... + 145911.

It is an arithmetic number, because the mean of its divisors is an integer number (311204970).

Almost surely, 210641130650 is an apocalyptic number.

10641130650 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 10641130650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937838560).

10641130650 is an abundant number, since it is smaller than the sum of its proper divisors (19234546470).

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

10641130650 is a wasteful number, since it uses less digits than its factorization.

10641130650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148797 (or 148786 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10641130650 in words is "ten billion, six hundred forty-one million, one hundred thirty thousand, six hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 90 106 135 150 159 225 265 270 318 450 477 530 675 795 954 1325 1350 1431 1590 2385 2650 2862 3975 4770 7155 7950 11925 14310 23850 35775 71550 148723 297446 446169 743615 892338 1338507 1487230 2230845 2677014 3718075 4015521 4461690 6692535 7436150 7882319 8031042 11154225 13385070 15764638 20077605 22308450 23646957 33462675 39411595 40155210 47293914 66925350 70940871 78823190 100388025 118234785 141881742 197057975 200776050 212822613 236469570 354704355 394115950 425645226 591173925 709408710 1064113065 1182347850 1773521775 2128226130 3547043550 5320565325 10641130650