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20941413600 = 25352149157373
BaseRepresentation
bin10011100000001101…
…001001110011100000
32000001102222000221010
4103200031021303200
5320342000213400
613341555100520
71340643035652
oct234015116340
960042860833
1020941413600
118976977a98
1240852a1740
131c897413c3
1410293426d2
15828728450
hex4e0349ce0

20941413600 has 288 divisors, whose sum is σ = 69244005600. Its totient is φ = 5496791040.

The previous prime is 20941413599. The next prime is 20941413607. The reversal of 20941413600 is 631414902.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20941413607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56143014 + ... + 56143386.

It is an arithmetic number, because the mean of its divisors is an integer number (240430575).

Almost surely, 220941413600 is an apocalyptic number.

20941413600 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 20941413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34622002800).

20941413600 is an abundant number, since it is smaller than the sum of its proper divisors (48302592000).

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

20941413600 is a wasteful number, since it uses less digits than its factorization.

20941413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The spelling of 20941413600 in words is "twenty billion, nine hundred forty-one million, four hundred thirteen thousand, six hundred".