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4428631593192 = 23317232941537489
BaseRepresentation
bin100000001110001111100…
…0000110101000011101000
3120200101001221122201001110
41000130133000311003220
51040024314141440232
613230252452350320
7634646422302552
oct100343700650350
916611057581043
104428631593192
111458199097784
125b636b9153a0
132618061625a1
141144bdd004d2
157a2eb2c8acc
hex4071f0350e8

4428631593192 has 512 divisors, whose sum is σ = 13209340032000. Its totient is φ = 1228060753920.

The previous prime is 4428631593179. The next prime is 4428631593223. The reversal of 4428631593192 is 2913951368244.

It is a super-2 number, since 2×44286315931922 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 591347784 + ... + 591355272.

It is an arithmetic number, because the mean of its divisors is an integer number (25799492250).

Almost surely, 24428631593192 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 4428631593192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604670016000).

4428631593192 is an abundant number, since it is smaller than the sum of its proper divisors (8780708438808).

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

4428631593192 is a wasteful number, since it uses less digits than its factorization.

4428631593192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7661 (or 7657 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 57.

The spelling of 4428631593192 in words is "four trillion, four hundred twenty-eight billion, six hundred thirty-one million, five hundred ninety-three thousand, one hundred ninety-two".