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482152078116 = 223217191071812141
BaseRepresentation
bin1110000010000101000…
…00001101101100100100
31201002112000012100011200
413001002200031230210
530344421412444431
61005255252202500
746556115020562
oct7010240155444
91632460170150
10482152078116
11176530307635
127953b909430
133660b596257
141949caa2a32
15c81dcb9ee6
hex704280db24

482152078116 has 288 divisors, whose sum is σ = 1379299259520. Its totient is φ = 141112627200.

The previous prime is 482152078087. The next prime is 482152078117. The reversal of 482152078116 is 611870251284.

482152078116 is a `hidden beast` number, since 4 + 8 + 2 + 1 + 520 + 7 + 8 + 116 = 666.

It is a super-2 number, since 2×4821520781162 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (482152078117) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225198406 + ... + 225200546.

It is an arithmetic number, because the mean of its divisors is an integer number (4789233540).

Almost surely, 2482152078116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482152078116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689649629760).

482152078116 is an abundant number, since it is smaller than the sum of its proper divisors (897147181404).

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

482152078116 is a wasteful number, since it uses less digits than its factorization.

482152078116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 482152078116 in words is "four hundred eighty-two billion, one hundred fifty-two million, seventy-eight thousand, one hundred sixteen".