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482142170880 = 2831056379
BaseRepresentation
bin1110000010000011110…
…10011010111100000000
31201002111022120000000000
413001001322122330000
530344411343432010
61005254300000000
746555634555526
oct7010172327400
91632438500000
10482142170880
11176525760137
1279538530000
1336609507996
141949b644316
15c81ceae7c0
hex7041e9af00

482142170880 has 396 divisors, whose sum is σ = 1732583538840. Its totient is φ = 128551090176.

The previous prime is 482142170831. The next prime is 482142170891. The reversal of 482142170880 is 88071241284.

482142170880 is a `hidden beast` number, since 4 + 82 + 1 + 421 + 70 + 8 + 80 = 666.

It is a super-2 number, since 2×4821421708802 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 75579531 + ... + 75585909.

Almost surely, 2482142170880 is an apocalyptic number.

482142170880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482142170880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866291769420).

482142170880 is an abundant number, since it is smaller than the sum of its proper divisors (1250441367960).

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

482142170880 is an frugal number, since it uses more digits than its factorization.

482142170880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6430 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 482142170880 in words is "four hundred eighty-two billion, one hundred forty-two million, one hundred seventy thousand, eight hundred eighty".