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7983484495272 = 2333111317193183311
BaseRepresentation
bin111010000101100110011…
…0000011110010110101000
31001021012202202112211112000
41310023030300132112220
52021300134012322042
624551321231251000
71452534121354536
oct164131460362650
931235682484460
107983484495272
1125a885a961080
12a8b304979a60
1345babb0b7860
141d858d07b156
15dca0709274c
hex742ccc1e5a8

7983484495272 has 2048 divisors, whose sum is σ = 30433148928000. Its totient is φ = 1897592832000.

The previous prime is 7983484495249. The next prime is 7983484495307. The reversal of 7983484495272 is 2725944843897.

It is a happy number.

7983484495272 is a `hidden beast` number, since 7 + 9 + 8 + 34 + 84 + 495 + 27 + 2 = 666.

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

Its product of digits (975421440) is a multiple of the sum of its prime divisors (490).

It is a self number, because there is not a number n which added to its sum of digits gives 7983484495272.

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, 25670367997 + ... + 25670368307.

It is an arithmetic number, because the mean of its divisors is an integer number (14859936000).

Almost surely, 27983484495272 is an apocalyptic number.

7983484495272 is a gapful number since it is divisible by the number (72) 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 7983484495272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15216574464000).

7983484495272 is an abundant number, since it is smaller than the sum of its proper divisors (22449664432728).

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

7983484495272 is a wasteful number, since it uses less digits than its factorization.

7983484495272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 490 counting only the distinct ones).

The product of its digits is 975421440, while the sum is 72.

The spelling of 7983484495272 in words is "seven trillion, nine hundred eighty-three billion, four hundred eighty-four million, four hundred ninety-five thousand, two hundred seventy-two".