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19855396070640 = 243251331616771657
BaseRepresentation
bin1001000001110111100011…
…10101000110010011110000
32121022011020200122210010100
410200323301311012103300
510100302322343230030
6110121235410032400
74116335136632664
oct440736165062360
977264220583110
1019855396070640
1163656984a86a9
122288137b78700
13b1048195a0b0
144c90133cc8a4
1524673ed97360
hex120ef1d464f0

19855396070640 has 960 divisors, whose sum is σ = 75498829765632. Its totient is φ = 4642607923200.

The previous prime is 19855396070603. The next prime is 19855396070651. The reversal of 19855396070640 is 4607069355891.

19855396070640 is a `hidden beast` number, since 1 + 9 + 8 + 553 + 9 + 6 + 0 + 70 + 6 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11982736692 + ... + 11982738348.

Almost surely, 219855396070640 is an apocalyptic number.

19855396070640 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 19855396070640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37749414882816).

19855396070640 is an abundant number, since it is smaller than the sum of its proper divisors (55643433694992).

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

19855396070640 is a wasteful number, since it uses less digits than its factorization.

19855396070640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458 (or 2449 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 63.

The spelling of 19855396070640 in words is "nineteen trillion, eight hundred fifty-five billion, three hundred ninety-six million, seventy thousand, six hundred forty".