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252030464525601 = 3244636274565303
BaseRepresentation
bin111001010011100001101010…
…010011111000010100100001
31020001100212200102000102101100
4321103201222103320110201
5231013231342404304401
62252005110320225013
7104041412600530626
oct7123415223702441
91201325612012340
10252030464525601
1173339579893203
122432523876b169
13aa824a8922718
1446344a7ac634d
151e20d564b2b86
hexe5386a4f8521

252030464525601 has 12 divisors (see below), whose sum is σ = 364125573721728. Its totient is φ = 167982662265144.

The previous prime is 252030464525569. The next prime is 252030464525603. The reversal of 252030464525601 is 106525464030252.

252030464525601 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 3 + 0 + 4 + 64 + 525 + 60 + 1 = 666.

It is not a de Polignac number, because 252030464525601 - 25 = 252030464525569 is a prime.

It is a super-3 number, since 3×2520304645256013 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (252030464525603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3137242485 + ... + 3137322818.

It is an arithmetic number, because the mean of its divisors is an integer number (30343797810144).

Almost surely, 2252030464525601 is an apocalyptic number.

It is an amenable number.

252030464525601 is a deficient number, since it is larger than the sum of its proper divisors (112095109196127).

252030464525601 is a wasteful number, since it uses less digits than its factorization.

252030464525601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274569772 (or 6274569769 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 252030464525601 in words is "two hundred fifty-two trillion, thirty billion, four hundred sixty-four million, five hundred twenty-five thousand, six hundred one".

Divisors: 1 3 9 4463 13389 40167 6274565303 18823695909 56471087727 28003384947289 84010154841867 252030464525601