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20055291748272 = 2432111713929318287
BaseRepresentation
bin1001000111101011111001…
…00010100101111110110000
32122000021012202122100020100
410203311330202211332300
510112041214141421042
6110353135052112400
74136642553103104
oct443657442457660
978007182570210
1020055291748272
116432446395970
1222baa24765700
13b2628a481251
144d49776b5904
1524ba3e0b124c
hex123d7c8a5fb0

20055291748272 has 480 divisors, whose sum is σ = 65523996195840. Its totient is φ = 5659028398080.

The previous prime is 20055291748253. The next prime is 20055291748279. The reversal of 20055291748272 is 27284719255002.

It is a happy number.

20055291748272 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 5 + 2 + 91 + 7 + 482 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (20055291748279) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1096687513 + ... + 1096705799.

It is an arithmetic number, because the mean of its divisors is an integer number (136508325408).

Almost surely, 220055291748272 is an apocalyptic number.

20055291748272 is a gapful number since it is divisible by the number (22) 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 20055291748272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32761998097920).

20055291748272 is an abundant number, since it is smaller than the sum of its proper divisors (45468704447568).

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

20055291748272 is a wasteful number, since it uses less digits than its factorization.

20055291748272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18761 (or 18752 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 20055291748272 in words is "twenty trillion, fifty-five billion, two hundred ninety-one million, seven hundred forty-eight thousand, two hundred seventy-two".