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5417794551312 = 2433111317194753109
BaseRepresentation
bin100111011010110110110…
…1110000011111000010000
3201011221021102021100211000
41032311231232003320100
51202231120401120222
615304522255422000
71066264666565403
oct116655556037020
921157242240730
105417794551312
1117a9745867710
12736008524900
13303b851bb7c0
1414a318d75d3a
1595de143e9ac
hex4ed6db83e10

5417794551312 has 2560 divisors, whose sum is σ = 21382631424000. Its totient is φ = 1285645271040.

The previous prime is 5417794551283. The next prime is 5417794551401. The reversal of 5417794551312 is 2131554977145.

It is a happy number.

5417794551312 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 79 + 4 + 551 + 3 + 12 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 49704537114 + ... + 49704537222.

It is an arithmetic number, because the mean of its divisors is an integer number (8352590400).

Almost surely, 25417794551312 is an apocalyptic number.

5417794551312 is a gapful number since it is divisible by the number (52) 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 5417794551312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10691315712000).

5417794551312 is an abundant number, since it is smaller than the sum of its proper divisors (15964836872688).

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

5417794551312 is a wasteful number, since it uses less digits than its factorization.

5417794551312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 274 counting only the distinct ones).

The product of its digits is 5292000, while the sum is 54.

The spelling of 5417794551312 in words is "five trillion, four hundred seventeen billion, seven hundred ninety-four million, five hundred fifty-one thousand, three hundred twelve".