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252051420010032 = 24322960357140807
BaseRepresentation
bin111001010011110101001011…
…010110101101011000110000
31020001102212202211110022212100
4321103311023112231120300
5231014102302010310112
62252022453541100400
7104043054104312466
oct7123651326553060
91201385684408770
10252051420010032
11733474526a0885
12243293066b7700
13aa8446824c556
1446354d4c4c836
151e2168106a2dc
hexe53d4b5ad630

252051420010032 has 60 divisors (see below), whose sum is σ = 729717832368720. Its totient is φ = 81119997243264.

The previous prime is 252051420010021. The next prime is 252051420010099. The reversal of 252051420010032 is 230010024150252.

252051420010032 is a `hidden beast` number, since 2 + 5 + 20 + 514 + 20 + 0 + 100 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 252051420009978 and 252051420010005.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30178566228 + ... + 30178574579.

It is an arithmetic number, because the mean of its divisors is an integer number (12161963872812).

Almost surely, 2252051420010032 is an apocalyptic number.

It is an amenable number.

252051420010032 is an abundant number, since it is smaller than the sum of its proper divisors (477666412358688).

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

252051420010032 is a wasteful number, since it uses less digits than its factorization.

252051420010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60357140850 (or 60357140841 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 252051420010032 its reverse (230010024150252), we get a palindrome (482061444160284).

The spelling of 252051420010032 in words is "two hundred fifty-two trillion, fifty-one billion, four hundred twenty million, ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 60357140807 120714281614 181071422421 241428563228 362142844842 482857126456 543214267263 724285689684 965714252912 1086428534526 1448571379368 1750357083403 2172857069052 2897142758736 3500714166806 4345714138104 5251071250209 7001428333612 8691428276208 10502142500418 14002856667224 15753213750627 21004285000836 28005713334448 31506427501254 42008570001672 63012855002508 84017140003344 126025710005016 252051420010032