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5996928000 = 21035372397
BaseRepresentation
bin1011001010111000…
…11101110000000000
3120110221021111200110
411211130131300000
544240203144000
62431022551320
7301416022050
oct54534356000
916427244613
105996928000
1125a8122848
1211b4438540
1374756170b
1440c64d560
1525172c850
hex16571dc00

5996928000 has 704 divisors, whose sum is σ = 24034203648. Its totient is φ = 1297612800.

The previous prime is 5996927987. The next prime is 5996928001. The reversal of 5996928000 is 8296995.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5996928001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61823952 + ... + 61824048.

Almost surely, 25996928000 is an apocalyptic number.

5996928000 is a gapful number since it is divisible by the number (50) 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 5996928000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017101824).

5996928000 is an abundant number, since it is smaller than the sum of its proper divisors (18037275648).

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

5996928000 is a wasteful number, since it uses less digits than its factorization.

5996928000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 5996928000 is about 77439.8347105674. The cubic root of 5996928000 is about 1816.8104179751.

The spelling of 5996928000 in words is "five billion, nine hundred ninety-six million, nine hundred twenty-eight thousand".