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20674455984 = 243371341101127
BaseRepresentation
bin10011010000010010…
…110010100110110000
31222100211122011221000
4103100102302212300
5314320130042414
613255301202000
71331221655610
oct232022624660
958324564830
1020674455984
11884a211866
12400ba00300
131c46342310
141001ad0a40
15810094b09
hex4d04b29b0

20674455984 has 640 divisors, whose sum is σ = 76155125760. Its totient is φ = 5225472000.

The previous prime is 20674455983. The next prime is 20674456003. The reversal of 20674455984 is 48955447602.

20674455984 is a `hidden beast` number, since 2 + 0 + 6 + 7 + 4 + 4 + 559 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 20674455984.

It is not an unprimeable number, because it can be changed into a prime (20674455983) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162790929 + ... + 162791055.

It is an arithmetic number, because the mean of its divisors is an integer number (118992384).

Almost surely, 220674455984 is an apocalyptic number.

20674455984 is a gapful number since it is divisible by the number (24) 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 20674455984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38077562880).

20674455984 is an abundant number, since it is smaller than the sum of its proper divisors (55480669776).

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

20674455984 is a wasteful number, since it uses less digits than its factorization.

20674455984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 20674455984 in words is "twenty billion, six hundred seventy-four million, four hundred fifty-five thousand, nine hundred eighty-four".