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5032228785408 = 28331135973127
BaseRepresentation
bin100100100111010100000…
…1101011000110100000000
3122211002001200021001121000
41021032220031120310000
51124422001032113113
614411435103132000
71026365214626466
oct111165015306400
918732050231530
105032228785408
111670179a61000
126933432a4000
132a66ca128ba6
141357bdc02836
158ad76d51373
hex493a8358d00

5032228785408 has 1152 divisors, whose sum is σ = 17006498611200. Its totient is φ = 1466894499840.

The previous prime is 5032228785407. The next prime is 5032228785427. The reversal of 5032228785408 is 8045878222305.

5032228785408 is a `hidden beast` number, since 5 + 0 + 3 + 2 + 2 + 28 + 78 + 540 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032228785407) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39623848641 + ... + 39623848767.

It is an arithmetic number, because the mean of its divisors is an integer number (14762585600).

Almost surely, 25032228785408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5032228785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8503249305600).

5032228785408 is an abundant number, since it is smaller than the sum of its proper divisors (11974269825792).

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

5032228785408 is a wasteful number, since it uses less digits than its factorization.

5032228785408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 5032228785408 in words is "five trillion, thirty-two billion, two hundred twenty-eight million, seven hundred eighty-five thousand, four hundred eight".