Search a number
-
+
4955367336192 = 2832713193140127
BaseRepresentation
bin100100000011100001011…
…1010001110100100000000
3122112201200001212212212200
41020013002322032210000
51122142043014224232
614312244143353200
71021004423243640
oct110070272164400
918481601785780
104955367336192
111640617747649
126804725b2800
1329c39b2c9120
14131babc18520
1588d7919377c
hex481c2e8e900

4955367336192 has 864 divisors, whose sum is σ = 19107759390720. Its totient is φ = 1198155939840.

The previous prime is 4955367336191. The next prime is 4955367336209. The reversal of 4955367336192 is 2916337635594.

4955367336192 is a `hidden beast` number, since 4 + 9 + 5 + 5 + 3 + 6 + 7 + 3 + 3 + 619 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (4955367336191) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123472033 + ... + 123512159.

Almost surely, 24955367336192 is an apocalyptic number.

4955367336192 is a gapful number since it is divisible by the number (42) 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 4955367336192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9553879695360).

4955367336192 is an abundant number, since it is smaller than the sum of its proper divisors (14152392054528).

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

4955367336192 is a wasteful number, since it uses less digits than its factorization.

4955367336192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40219 (or 40202 counting only the distinct ones).

The product of its digits is 110224800, while the sum is 63.

The spelling of 4955367336192 in words is "four trillion, nine hundred fifty-five billion, three hundred sixty-seven million, three hundred thirty-six thousand, one hundred ninety-two".