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10083403895040 = 2837572195373
BaseRepresentation
bin1001001010111011100110…
…1101010001000100000000
31022200222000202101010000000
42102232321231101010000
52310201302344120130
633240130220000000
72060334101635200
oct222567155210400
938628022333000
1010083403895040
1132383906968a3
12116a293690000
13581b2654acc8
1426c079daa400
1512745c188260
hex92bb9b51100

10083403895040 has 3456 divisors, whose sum is σ = 45811691251200. Its totient is φ = 2112930054144.

The previous prime is 10083403895011. The next prime is 10083403895051. The reversal of 10083403895040 is 4059830438001.

10083403895040 is a `hidden beast` number, since 1 + 0 + 0 + 83 + 403 + 89 + 50 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×100834038950402 (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 138128820444 + ... + 138128820516.

It is an arithmetic number, because the mean of its divisors is an integer number (13255697700).

Almost surely, 210083403895040 is an apocalyptic number.

10083403895040 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 10083403895040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22905845625600).

10083403895040 is an abundant number, since it is smaller than the sum of its proper divisors (35728287356160).

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

10083403895040 is an frugal number, since it uses more digits than its factorization.

10083403895040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 10083403895040 in words is "ten trillion, eighty-three billion, four hundred three million, eight hundred ninety-five thousand, forty".