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10383831314640 = 2432579619214189
BaseRepresentation
bin1001011100011010110010…
…0100111011000011010000
31100202200111001120022012200
42113012230210323003100
52330112041304032030
634030133302123200
72121131006603040
oct227065444730320
940680431508180
1010383831314640
113343838086833
1211b8558120500
135a4263a9b804
1427c819bad720
15130192124d60
hex971ac93b0d0

10383831314640 has 240 divisors, whose sum is σ = 39858462883200. Its totient is φ = 2373189331968.

The previous prime is 10383831314639. The next prime is 10383831314671. The reversal of 10383831314640 is 4641313838301.

10383831314640 is a `hidden beast` number, since 1 + 0 + 3 + 83 + 83 + 1 + 31 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48372666 + ... + 48586854.

It is an arithmetic number, because the mean of its divisors is an integer number (166076928680).

Almost surely, 210383831314640 is an apocalyptic number.

10383831314640 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 10383831314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19929231441600).

10383831314640 is an abundant number, since it is smaller than the sum of its proper divisors (29474631568560).

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

10383831314640 is a wasteful number, since it uses less digits than its factorization.

10383831314640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223834 (or 223825 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 10383831314640 in words is "ten trillion, three hundred eighty-three billion, eight hundred thirty-one million, three hundred fourteen thousand, six hundred forty".