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202488256980 = 2232517236174663
BaseRepresentation
bin1011110010010100111…
…1011001100111010100
3201100122202101020101100
42330211033121213110
511304143443210410
6233004414030100
720425563533352
oct2744517314724
9640582336340
10202488256980
1178969384529
12332b0aa8330
131612c999599
149b2c7567d2
155401b308c0
hex2f253d99d4

202488256980 has 288 divisors, whose sum is σ = 679866130944. Its totient is φ = 48521797632.

The previous prime is 202488256937. The next prime is 202488256991. The reversal of 202488256980 is 89652884202.

It is a happy number.

202488256980 is a `hidden beast` number, since 2 + 0 + 2 + 488 + 25 + 69 + 80 = 666.

It is a congruent number.

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, 43422129 + ... + 43426791.

It is an arithmetic number, because the mean of its divisors is an integer number (2360646288).

Almost surely, 2202488256980 is an apocalyptic number.

202488256980 is a gapful number since it is divisible by the number (20) 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 202488256980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339933065472).

202488256980 is an abundant number, since it is smaller than the sum of its proper divisors (477377873964).

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

202488256980 is a wasteful number, since it uses less digits than its factorization.

202488256980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5335 (or 5330 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 202488256980 in words is "two hundred two billion, four hundred eighty-eight million, two hundred fifty-six thousand, nine hundred eighty".