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20472445440 = 2934598729
BaseRepresentation
bin10011000100010000…
…001011101000000000
31221211202111222120000
4103010100023220000
5313411421223230
613223243320000
71323216625566
oct230420135000
957752458500
1020472445440
1187561862a7
123b74220000
131c13532b55
14dc2d47a36
157ec48eb60
hex4c440ba00

20472445440 has 200 divisors, whose sum is σ = 73326573540. Its totient is φ = 5459263488.

The previous prime is 20472445403. The next prime is 20472445457. The reversal of 20472445440 is 4454427402.

20472445440 is a `hidden beast` number, since 2 + 0 + 4 + 72 + 44 + 544 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19793113344 + 679332096 = 140688^2 + 26064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20472445395 and 20472445404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 157996 + ... + 256724.

Almost surely, 220472445440 is an apocalyptic number.

20472445440 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 20472445440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36663286770).

20472445440 is an abundant number, since it is smaller than the sum of its proper divisors (52854128100).

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

20472445440 is an frugal number, since it uses more digits than its factorization.

20472445440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98764 (or 98739 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 36.

The spelling of 20472445440 in words is "twenty billion, four hundred seventy-two million, four hundred forty-five thousand, four hundred forty".