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532106465120 = 25515277217691
BaseRepresentation
bin1111011111001000000…
…01000100111101100000
31212212110102012010112022
413233210001010331200
532204223223340440
61044240224121012
753305044220046
oct7574401047540
91785412163468
10532106465120
1119573525599a
1287161466168
133b23ca55629
141ba7b31c396
15dc9464ecb5
hex7be4044f60

532106465120 has 48 divisors (see below), whose sum is σ = 1257189586128. Its totient is φ = 212827676160.

The previous prime is 532106465119. The next prime is 532106465129. The reversal of 532106465120 is 21564601235.

It is a super-2 number, since 2×5321064651202 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532106465129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2335475 + ... + 2553165.

It is an arithmetic number, because the mean of its divisors is an integer number (26191449711).

Almost surely, 2532106465120 is an apocalyptic number.

It is an amenable number.

532106465120 is an abundant number, since it is smaller than the sum of its proper divisors (725083121008).

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

532106465120 is a wasteful number, since it uses less digits than its factorization.

532106465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232983 (or 232975 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The spelling of 532106465120 in words is "five hundred thirty-two billion, one hundred six million, four hundred sixty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 15277 30554 61108 76385 122216 152770 217691 244432 305540 435382 488864 611080 870764 1088455 1222160 1741528 2176910 2444320 3483056 4353820 6966112 8707640 17415280 34830560 3325665407 6651330814 13302661628 16628327035 26605323256 33256654070 53210646512 66513308140 106421293024 133026616280 266053232560 532106465120