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127323217980 = 2236572315749
BaseRepresentation
bin111011010010100001…
…1100010000000111100
3110011122101002122000000
41312211003202000330
54041224220433410
6134254054234300
712125121332100
oct1664503420074
9404571078000
10127323217980
1149aa7701192
1220814355990
13c01145a14a
14623bb9b900
1534a2d67dc0
hex1da50e203c

127323217980 has 504 divisors, whose sum is σ = 481462128000. Its totient is φ = 28158762240.

The previous prime is 127323217927. The next prime is 127323218017. The reversal of 127323217980 is 89712323721.

127323217980 is a `hidden beast` number, since 1 + 27 + 323 + 217 + 98 + 0 = 666.

It is a super-2 number, since 2×1273232179802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 22144146 + ... + 22149894.

It is an arithmetic number, because the mean of its divisors is an integer number (955282000).

Almost surely, 2127323217980 is an apocalyptic number.

127323217980 is a gapful number since it is divisible by the number (10) 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 127323217980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240731064000).

127323217980 is an abundant number, since it is smaller than the sum of its proper divisors (354138910020).

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

127323217980 is a wasteful number, since it uses less digits than its factorization.

127323217980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5821 (or 5797 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 127323217980 in words is "one hundred twenty-seven billion, three hundred twenty-three million, two hundred seventeen thousand, nine hundred eighty".