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10024290474660 = 22335711318099613
BaseRepresentation
bin1001000111011111011001…
…0001011101101010100100
31022111022110001001012212000
42101313312101131222210
52303214221330142120
633153032342125300
72053142156102550
oct221676621355244
938438401035760
1010024290474660
113215306705170
12115a936720830
13579395698b57
1426926d17c860
15125b4c6b0990
hex91df645daa4

10024290474660 has 768 divisors, whose sum is σ = 40190150246400. Its totient is φ = 2013075763200.

The previous prime is 10024290474659. The next prime is 10024290474661. The reversal of 10024290474660 is 6647409242001.

10024290474660 is a `hidden beast` number, since 10 + 0 + 24 + 2 + 90 + 474 + 6 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (10024290474659) and next prime (10024290474661).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (10024290474661) by changing a digit.

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 255 ways as a sum of consecutive naturals, for example, 1042780014 + ... + 1042789626.

It is an arithmetic number, because the mean of its divisors is an integer number (52330924800).

Almost surely, 210024290474660 is an apocalyptic number.

10024290474660 is a gapful number since it is divisible by the number (10) 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 10024290474660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20095075123200).

10024290474660 is an abundant number, since it is smaller than the sum of its proper divisors (30165859771740).

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

10024290474660 is a wasteful number, since it uses less digits than its factorization.

10024290474660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10489 (or 10481 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 10024290474660 in words is "ten trillion, twenty-four billion, two hundred ninety million, four hundred seventy-four thousand, six hundred sixty".