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5171269683888 = 243271129104915331
BaseRepresentation
bin100101101000000011110…
…1100010100101010110000
3200022100221200020112101200
41023100013230110222300
51134211230014341023
614555352024131200
71042416612024450
oct113200754245260
920270850215350
105171269683888
111714139a15a60
126b6287906b00
132b68580a0499
1413c40dccbd60
158e7b376e743
hex4b407b14ab0

5171269683888 has 480 divisors, whose sum is σ = 18684679104000. Its totient is φ = 1295549337600.

The previous prime is 5171269683863. The next prime is 5171269683953. The reversal of 5171269683888 is 8883869621715.

5171269683888 is a `hidden beast` number, since 517 + 1 + 26 + 9 + 6 + 8 + 3 + 8 + 88 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337300383 + ... + 337315713.

It is an arithmetic number, because the mean of its divisors is an integer number (38926414800).

Almost surely, 25171269683888 is an apocalyptic number.

5171269683888 is a gapful number since it is divisible by the number (58) 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 5171269683888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9342339552000).

5171269683888 is an abundant number, since it is smaller than the sum of its proper divisors (13513409420112).

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

5171269683888 is a wasteful number, since it uses less digits than its factorization.

5171269683888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16441 (or 16432 counting only the distinct ones).

The product of its digits is 278691840, while the sum is 72.

The spelling of 5171269683888 in words is "five trillion, one hundred seventy-one billion, two hundred sixty-nine million, six hundred eighty-three thousand, eight hundred eighty-eight".