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52640693280 = 253257293137157
BaseRepresentation
bin110001000001101000…
…010011110000100000
312000212121202021210200
4301001220103300200
51330302004141110
640103252425200
73542325336660
oct610150236040
9160777667720
1052640693280
1120363331a9a
12a251318200
134c6bb8cc26
1427953261a0
1515816126c0
hexc41a13c20

52640693280 has 1152 divisors, whose sum is σ = 226588078080. Its totient is φ = 10868981760.

The previous prime is 52640693221. The next prime is 52640693327. The reversal of 52640693280 is 8239604625.

52640693280 is a `hidden beast` number, since 5 + 264 + 0 + 69 + 328 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 335290962 + ... + 335291118.

It is an arithmetic number, because the mean of its divisors is an integer number (196691040).

Almost surely, 252640693280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52640693280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113294039040).

52640693280 is an abundant number, since it is smaller than the sum of its proper divisors (173947384800).

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

52640693280 is a wasteful number, since it uses less digits than its factorization.

52640693280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 52640693280 in words is "fifty-two billion, six hundred forty million, six hundred ninety-three thousand, two hundred eighty".