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16712017920 = 2113251322937
BaseRepresentation
bin11111001000001110…
…10010100000000000
31121010200121110202200
433210013102200000
5233211234033140
611402152313200
71131065544213
oct174407224000
947120543680
1016712017920
1170a6553464
1232a49a2800
131764442800
14b4775777a
1567c28e030
hex3e41d2800

16712017920 has 864 divisors, whose sum is σ = 66635314200. Its totient is φ = 3864526848.

The previous prime is 16712017867. The next prime is 16712017979. The reversal of 16712017920 is 2971021761.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 483296256 + 16228721664 = 21984^2 + 127392^2 .

It is a super-2 number, since 2×167120179202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 451676142 + ... + 451676178.

Almost surely, 216712017920 is an apocalyptic number.

16712017920 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 16712017920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33317657100).

16712017920 is an abundant number, since it is smaller than the sum of its proper divisors (49923296280).

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

16712017920 is a wasteful number, since it uses less digits than its factorization.

16712017920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 36.

The spelling of 16712017920 in words is "sixteen billion, seven hundred twelve million, seventeen thousand, nine hundred twenty".