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16296972120 = 233351121353181
BaseRepresentation
bin11110010110110000…
…00000111101011000
31120001202121221222000
433023120000331120
5231334011101440
611253044401000
71114565656152
oct171330007530
946052557860
1016296972120
116a03241400
1231a99a6160
1316c9463a90
14b08597ad2
15655b07730
hex3cb600f58

16296972120 has 768 divisors, whose sum is σ = 65879049600. Its totient is φ = 3558297600.

The previous prime is 16296972101. The next prime is 16296972121. The reversal of 16296972120 is 2127969261.

16296972120 is a `hidden beast` number, since 1 + 629 + 6 + 9 + 7 + 2 + 12 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16296972121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90038430 + ... + 90038610.

Almost surely, 216296972120 is an apocalyptic number.

16296972120 is a gapful number since it is divisible by the number (10) 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 16296972120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32939524800).

16296972120 is an abundant number, since it is smaller than the sum of its proper divisors (49582077480).

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

16296972120 is a wasteful number, since it uses less digits than its factorization.

16296972120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 16296972120 in words is "sixteen billion, two hundred ninety-six million, nine hundred seventy-two thousand, one hundred twenty".