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20470603940640 = 2535572107137733
BaseRepresentation
bin1001010011110001011110…
…00100111000001100100000
32200110222012120210200100000
410221320233010320030200
510140342244102100030
6111312022101500000
74211644435353300
oct451705704701440
980428176720300
1020470603940640
116582597290aa7
12236740ba11600
13b564a6214b39
1450aad5327600
15257749dda860
hex129e2f138320

20470603940640 has 1728 divisors, whose sum is σ = 85795980326784. Its totient is φ = 4595154665472.

The previous prime is 20470603940639. The next prime is 20470603940713. The reversal of 20470603940640 is 4604930607402.

It is a happy number.

20470603940640 is a `hidden beast` number, since 20 + 470 + 60 + 3 + 9 + 40 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 27927153714 + ... + 27927154446.

It is an arithmetic number, because the mean of its divisors is an integer number (49650451578).

Almost surely, 220470603940640 is an apocalyptic number.

20470603940640 is a gapful number since it is divisible by the number (20) 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 20470603940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42897990163392).

20470603940640 is an abundant number, since it is smaller than the sum of its proper divisors (65325376386144).

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

20470603940640 is a wasteful number, since it uses less digits than its factorization.

20470603940640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 20470603940640 in words is "twenty trillion, four hundred seventy billion, six hundred three million, nine hundred forty thousand, six hundred forty".