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252921191985 = 3357113211953
BaseRepresentation
bin1110101110001101000…
…1110001111000110001
3220011211111211210012000
43223203101301320301
513120440311120420
6312105042524213
724162423442320
oct3534321617061
9804744753160
10252921191985
1198299468000
1241026966669
131ab0933c767
14c3547820b7
1568a44e2690
hex3ae3471e31

252921191985 has 256 divisors, whose sum is σ = 568494858240. Its totient is φ = 104502182400.

The previous prime is 252921191983. The next prime is 252921192011. The reversal of 252921191985 is 589191129252.

252921191985 is a `hidden beast` number, since 2 + 529 + 21 + 1 + 9 + 1 + 98 + 5 = 666.

It is not a de Polignac number, because 252921191985 - 21 = 252921191983 is a prime.

It is a super-2 number, since 2×2529211919852 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252921191983) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 265394269 + ... + 265395221.

It is an arithmetic number, because the mean of its divisors is an integer number (2220683040).

Almost surely, 2252921191985 is an apocalyptic number.

It is an amenable number.

252921191985 is an abundant number, since it is smaller than the sum of its proper divisors (315573666255).

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

252921191985 is a wasteful number, since it uses less digits than its factorization.

252921191985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1218 (or 1190 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 54.

The spelling of 252921191985 in words is "two hundred fifty-two billion, nine hundred twenty-one million, one hundred ninety-one thousand, nine hundred eighty-five".