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16294981248 = 273671319101
BaseRepresentation
bin11110010110100000…
…11010111010000000
31120001121212211000000
433023100122322000
5231333003344443
611252534000000
71114543024650
oct171320327200
946047784000
1016294981248
116a02101657
1231a91a6000
1316c8c17850
14b081da360
156558628d3
hex3cb41ae80

16294981248 has 896 divisors, whose sum is σ = 63680803200. Its totient is φ = 4031078400.

The previous prime is 16294981223. The next prime is 16294981273. The reversal of 16294981248 is 84218949261.

It is a happy number.

16294981248 is a `hidden beast` number, since 1 + 6 + 29 + 498 + 124 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (16294981223) and next prime (16294981273).

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 16294981194 and 16294981203.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 161336398 + ... + 161336498.

It is an arithmetic number, because the mean of its divisors is an integer number (71072325).

Almost surely, 216294981248 is an apocalyptic number.

16294981248 is a gapful number since it is divisible by the number (18) 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 16294981248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31840401600).

16294981248 is an abundant number, since it is smaller than the sum of its proper divisors (47385821952).

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

16294981248 is a wasteful number, since it uses less digits than its factorization.

16294981248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 145 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 16294981248 in words is "sixteen billion, two hundred ninety-four million, nine hundred eighty-one thousand, two hundred forty-eight".