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482690732160 = 2735713171011609
BaseRepresentation
bin1110000011000101001…
…11000001000010000000
31201010220112202210121110
413001202213001002000
530402022311412120
61005424533323320
746605345345540
oct7014247010200
91633815683543
10482690732160
1117678737536a
1279670196540
1336696063360
141951043b320
15c85121b2e0
hex70629c1080

482690732160 has 1024 divisors, whose sum is σ = 2026133222400. Its totient is φ = 94843699200.

The previous prime is 482690732141. The next prime is 482690732171. The reversal of 482690732160 is 61237096284.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 299993436 + ... + 299995044.

It is an arithmetic number, because the mean of its divisors is an integer number (1978645725).

Almost surely, 2482690732160 is an apocalyptic number.

482690732160 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 482690732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013066611200).

482690732160 is an abundant number, since it is smaller than the sum of its proper divisors (1543442490240).

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

482690732160 is a wasteful number, since it uses less digits than its factorization.

482690732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The spelling of 482690732160 in words is "four hundred eighty-two billion, six hundred ninety million, seven hundred thirty-two thousand, one hundred sixty".