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216380048304 = 2437291031671291
BaseRepresentation
bin1100100110000101000…
…0011000001110110000
3202200111220020100120010
43021201100120032300
512021121243021204
6243223103214520
721430046030610
oct3114120301660
9680456210503
10216380048304
1183847994a02
1235b292a7440
1317534a4c554
14a689702a40
1559664dbd89
hex32614183b0

216380048304 has 320 divisors, whose sum is σ = 671797002240. Its totient is φ = 58712048640.

The previous prime is 216380048257. The next prime is 216380048309. The reversal of 216380048304 is 403840083612.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (216380048309) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167605899 + ... + 167607189.

It is an arithmetic number, because the mean of its divisors is an integer number (2099365632).

Almost surely, 2216380048304 is an apocalyptic number.

216380048304 is a gapful number since it is divisible by the number (24) 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 216380048304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335898501120).

216380048304 is an abundant number, since it is smaller than the sum of its proper divisors (455416953936).

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

216380048304 is a wasteful number, since it uses less digits than its factorization.

216380048304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1608 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 216380048304 in words is "two hundred sixteen billion, three hundred eighty million, forty-eight thousand, three hundred four".