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5136048000 = 2735531321
BaseRepresentation
bin1001100100010000…
…11101111110000000
3111020221101021100000
410302020131332000
541004312014000
62205351200000
7241163454606
oct46210357600
914227337300
105136048000
1121a618a976
12bb4076000
1363b0b4175
1436a197876
15200d7c000
hex13221df80

5136048000 has 384 divisors, whose sum is σ = 19142454240. Its totient is φ = 1368576000.

The previous prime is 5136047989. The next prime is 5136048017. The reversal of 5136048000 is 8406315.

5136048000 is a `hidden beast` number, since 51 + 3 + 604 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3887340 + ... + 3888660.

Almost surely, 25136048000 is an apocalyptic number.

5136048000 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 5136048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9571227120).

5136048000 is an abundant number, since it is smaller than the sum of its proper divisors (14006406240).

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

5136048000 is an equidigital number, since it uses as much as digits as its factorization.

5136048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 5136048000 is about 71666.2263552365. The cubic root of 5136048000 is about 1725.3466222164.

The spelling of 5136048000 in words is "five billion, one hundred thirty-six million, forty-eight thousand".