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20212579296 = 2534713671279
BaseRepresentation
bin10010110100110000…
…110111101111100000
31221011122112102020000
4102310300313233200
5312343410014141
613141401420000
71313613042420
oct226460675740
957148472200
1020212579296
118632523a98
123b0119a600
131ba17477c0
14d9a620480
157d475c5b6
hex4b4c37be0

20212579296 has 480 divisors, whose sum is σ = 74312663040. Its totient is φ = 5247120384.

The previous prime is 20212579273. The next prime is 20212579307. The reversal of 20212579296 is 69297521202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15802785 + ... + 15804063.

It is an arithmetic number, because the mean of its divisors is an integer number (154818048).

Almost surely, 220212579296 is an apocalyptic number.

20212579296 is a gapful number since it is divisible by the number (26) 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 20212579296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37156331520).

20212579296 is an abundant number, since it is smaller than the sum of its proper divisors (54100083744).

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

20212579296 is a wasteful number, since it uses less digits than its factorization.

20212579296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 20212579296 in words is "twenty billion, two hundred twelve million, five hundred seventy-nine thousand, two hundred ninety-six".