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5734193373216 = 2532711457565813
BaseRepresentation
bin101001101110001100010…
…0011110010000000100000
3202022011221210110212011100
41103130120203302000200
51222422112000420331
620110130240314400
71131165441315330
oct123343043620040
922264853425140
105734193373216
11191094873a590
127873a9912a00
133279695c1909
1415b771dc50c0
159e25d623ae6
hex537188f2020

5734193373216 has 288 divisors, whose sum is σ = 20374844450688. Its totient is φ = 1486139166720.

The previous prime is 5734193373157. The next prime is 5734193373253. The reversal of 5734193373216 is 6123733914375.

5734193373216 is a `hidden beast` number, since 5 + 7 + 3 + 419 + 3 + 3 + 7 + 3 + 216 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 9851526 + ... + 10417338.

It is an arithmetic number, because the mean of its divisors is an integer number (70745987676).

Almost surely, 25734193373216 is an apocalyptic number.

5734193373216 is a gapful number since it is divisible by the number (56) 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 5734193373216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10187422225344).

5734193373216 is an abundant number, since it is smaller than the sum of its proper divisors (14640651077472).

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

5734193373216 is a wasteful number, since it uses less digits than its factorization.

5734193373216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566304 (or 566293 counting only the distinct ones).

The product of its digits is 8573040, while the sum is 54.

The spelling of 5734193373216 in words is "five trillion, seven hundred thirty-four billion, one hundred ninety-three million, three hundred seventy-three thousand, two hundred sixteen".