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17120071980 = 223351119151693
BaseRepresentation
bin11111111000110111…
…11001000100101100
31122012010102202201000
433330123321010230
5240030214300410
611510450320300
71144152132204
oct177433710454
948163382630
1017120071980
11729591a520
123399589090
1317cab4400b
14b85a17404
156a2ee3dc0
hex3fc6f912c

17120071980 has 192 divisors, whose sum is σ = 61163020800. Its totient is φ = 3931856640.

The previous prime is 17120071957. The next prime is 17120072051. The reversal of 17120071980 is 8917002171.

It is a super-2 number, since 2×171200719802 (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 an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37014 + ... + 188706.

It is an arithmetic number, because the mean of its divisors is an integer number (318557400).

Almost surely, 217120071980 is an apocalyptic number.

17120071980 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 17120071980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30581510400).

17120071980 is an abundant number, since it is smaller than the sum of its proper divisors (44042948820).

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

17120071980 is a wasteful number, since it uses less digits than its factorization.

17120071980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151741 (or 151733 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The spelling of 17120071980 in words is "seventeen billion, one hundred twenty million, seventy-one thousand, nine hundred eighty".