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202492297728 = 2932729472
BaseRepresentation
bin1011110010010101111…
…0110100001000000000
3201100200000222112020200
42330211132310020000
511304201012011403
6233005040405200
720425643063100
oct2744536641000
9640600875220
10202492297728
1178970694396
12332b2316800
1316130782866
149b2d0c9200
15540217cca3
hex2f257b4200

202492297728 has 270 divisors, whose sum is σ = 680538409551. Its totient is φ = 57793849344.

The previous prime is 202492297697. The next prime is 202492297741. The reversal of 202492297728 is 827792294202.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 101246148864 + 101246148864 = 318192^2 + 318192^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=318192.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 213824551 + ... + 213825497.

Almost surely, 2202492297728 is an apocalyptic number.

202492297728 is a gapful number since it is divisible by the number (28) 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 202492297728

202492297728 is an abundant number, since it is smaller than the sum of its proper divisors (478046111823).

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

202492297728 is an frugal number, since it uses more digits than its factorization.

202492297728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 202492297728 in words is "two hundred two billion, four hundred ninety-two million, two hundred ninety-seven thousand, seven hundred twenty-eight".