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84642539874480 = 2435573120064701
BaseRepresentation
bin10011001111101101100000…
…100001011010100010110000
3102002200202012010200022100000
4103033231200201122202300
542043240410201440410
6500004125050030000
723554136021004240
oct2317554041324260
9362622163608300
1084642539874480
1124a73777150665
1295b035b418300
13382c9ac91b4c3
1416c8a13bb5b20
159bbb301eddc0
hex4cfb6085a8b0

84642539874480 has 480 divisors, whose sum is σ = 347765909557248. Its totient is φ = 18722772864000.

The previous prime is 84642539874407. The next prime is 84642539874523. The reversal of 84642539874480 is 8447893524648.

84642539874480 is a `hidden beast` number, since 8 + 4 + 6 + 4 + 2 + 53 + 98 + 7 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 84642539874399 and 84642539874408.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5813871 + ... + 14250830.

Almost surely, 284642539874480 is an apocalyptic number.

84642539874480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

84642539874480 is an abundant number, since it is smaller than the sum of its proper divisors (263123369682768).

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

84642539874480 is a wasteful number, since it uses less digits than its factorization.

84642539874480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20064767 (or 20064749 counting only the distinct ones).

The product of its (nonzero) digits is 1486356480, while the sum is 72.

The spelling of 84642539874480 in words is "eighty-four trillion, six hundred forty-two billion, five hundred thirty-nine million, eight hundred seventy-four thousand, four hundred eighty".