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10041532460 = 22517291018411
BaseRepresentation
bin10010101101000010…
…11010000000101100
3221220210220200221122
421112201122000230
5131031113014320
64340224520112
7503560421561
oct112641320054
927823820848
1010041532460
114293201a63
121b42a80038
13c4049c6ab
146b3894868
153db863d25
hex25685a02c

10041532460 has 48 divisors (see below), whose sum is σ = 23097584160. Its totient is φ = 3649981440.

The previous prime is 10041532451. The next prime is 10041532463. The reversal of 10041532460 is 6423514001.

It is not an unprimeable number, because it can be changed into a prime (10041532463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 499346 + ... + 519065.

It is an arithmetic number, because the mean of its divisors is an integer number (481199670).

Almost surely, 210041532460 is an apocalyptic number.

10041532460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10041532460 is an abundant number, since it is smaller than the sum of its proper divisors (13056051700).

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

10041532460 is a wasteful number, since it uses less digits than its factorization.

10041532460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018466 (or 1018464 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The spelling of 10041532460 in words is "ten billion, forty-one million, five hundred thirty-two thousand, four hundred sixty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 290 340 493 580 986 1972 2465 4930 9860 1018411 2036822 4073644 5092055 10184110 17312987 20368220 29533919 34625974 59067838 69251948 86564935 118135676 147669595 173129870 295339190 346259740 502076623 590678380 1004153246 2008306492 2510383115 5020766230 10041532460