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5293197504000 = 29335373711827
BaseRepresentation
bin100110100000110101100…
…1010000010111000000000
3200202000200000221112221000
41031001223022002320000
51143210432030112000
615131354504332000
71054264240265610
oct115015312027000
920660600845830
105293197504000
111760917aa793a
12715a35174000
132c51b97ac0c3
141442992a0a40
1592a4cacb000
hex4d06b282e00

5293197504000 has 1280 divisors, whose sum is σ = 22953299466240. Its totient is φ = 1177074892800.

The previous prime is 5293197503981. The next prime is 5293197504017. The reversal of 5293197504000 is 4057913925.

It is a happy number.

5293197504000 is a `hidden beast` number, since 5 + 2 + 9 + 3 + 197 + 50 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 447546087 + ... + 447557913.

It is an arithmetic number, because the mean of its divisors is an integer number (17932265208).

Almost surely, 25293197504000 is an apocalyptic number.

5293197504000 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 5293197504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11476649733120).

5293197504000 is an abundant number, since it is smaller than the sum of its proper divisors (17660101962240).

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

5293197504000 is a wasteful number, since it uses less digits than its factorization.

5293197504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11913 (or 11881 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 5293197504000 in words is "five trillion, two hundred ninety-three billion, one hundred ninety-seven million, five hundred four thousand".