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20673248976 = 243423431272
BaseRepresentation
bin10011010000001110…
…001011111011010000
31222100202100212020000
4103100032023323100
5314314322431401
613255215250000
71331205500622
oct232016137320
958322325200
1020673248976
118849567a36
12400b519900
131c4600bb03
141001898c12
1580ee07186
hex4d038bed0

20673248976 has 300 divisors, whose sum is σ = 64394887392. Its totient is φ = 6387486336.

The previous prime is 20673248971. The next prime is 20673249001. The reversal of 20673248976 is 67984237602.

20673248976 is a `hidden beast` number, since 2 + 0 + 67 + 32 + 489 + 76 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20673248971) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 162781425 + ... + 162781551.

Almost surely, 220673248976 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20673248976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32197443696).

20673248976 is an abundant number, since it is smaller than the sum of its proper divisors (43721638416).

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

20673248976 is a wasteful number, since it uses less digits than its factorization.

20673248976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 20673248976 in words is "twenty billion, six hundred seventy-three million, two hundred forty-eight thousand, nine hundred seventy-six".