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5972460000 = 253541321931
BaseRepresentation
bin1011000111111110…
…01000000111100000
3120102020020101220020
411203333020013200
544212422210000
62424350313440
7301001033553
oct54377100740
916366211806
105972460000
112595330661
1211a81b8880
13742475700
144092c069a
1524e4e7ba0
hex163fc81e0

5972460000 has 720 divisors, whose sum is σ = 23050621440. Its totient is φ = 1347840000.

The previous prime is 5972459989. The next prime is 5972460023. The reversal of 5972460000 is 642795.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 192659985 + ... + 192660015.

It is an arithmetic number, because the mean of its divisors is an integer number (32014752).

Almost surely, 25972460000 is an apocalyptic number.

5972460000 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 5972460000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11525310720).

5972460000 is an abundant number, since it is smaller than the sum of its proper divisors (17078161440).

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

5972460000 is a wasteful number, since it uses less digits than its factorization.

5972460000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 5972460000 is about 77281.6925280496. The cubic root of 5972460000 is about 1814.3361337473.

The spelling of 5972460000 in words is "five billion, nine hundred seventy-two million, four hundred sixty thousand".