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20147106674640 = 2435113711316781
BaseRepresentation
bin1001001010010110111010…
…01000101111011111010000
32122100001012111121212021210
410211023131020233133100
510120042233302042030
6110503241504420120
74146403041102141
oct445133510573720
978301174555253
1020147106674640
116468381536000
122314789317640
13b31b302bb54a
144d91a7653ac8
1524e114943bb0
hex1252dd22f7d0

20147106674640 has 640 divisors, whose sum is σ = 70206645915648. Its totient is φ = 4777893120000.

The previous prime is 20147106674623. The next prime is 20147106674689. The reversal of 20147106674640 is 4647660174102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 20147106674640.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 2971108050 + ... + 2971114830.

Almost surely, 220147106674640 is an apocalyptic number.

20147106674640 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 20147106674640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35103322957824).

20147106674640 is an abundant number, since it is smaller than the sum of its proper divisors (50059539241008).

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

20147106674640 is a wasteful number, since it uses less digits than its factorization.

20147106674640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7032 (or 7004 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The spelling of 20147106674640 in words is "twenty trillion, one hundred forty-seven billion, one hundred six million, six hundred seventy-four thousand, six hundred forty".