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1677116980 = 2257111729472
BaseRepresentation
bin110001111110110…
…1100011000110100
311022212210100222201
41203331230120310
511413320220410
6434230234244
756363154610
oct14375543064
94285710881
101677116980
117907638a0
123a97b5984
132095c6b16
1411ca4a340
159c38383a
hex63f6c634

1677116980 has 288 divisors, whose sum is σ = 4914120960. Its totient is φ = 464916480.

The previous prime is 1677116941. The next prime is 1677116983. The reversal of 1677116980 is 896117761.

1677116980 = 54452 + 54462 + ... + 55002.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1677116980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1677116983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35683317 + ... + 35683363.

It is an arithmetic number, because the mean of its divisors is an integer number (17062920).

Almost surely, 21677116980 is an apocalyptic number.

1677116980 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 1677116980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457060480).

1677116980 is an abundant number, since it is smaller than the sum of its proper divisors (3237003980).

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

1677116980 is a wasteful number, since it uses less digits than its factorization.

1677116980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 46.

The square root of 1677116980 is about 40952.6187196863. The cubic root of 1677116980 is about 1188.1039834992.

The spelling of 1677116980 in words is "one billion, six hundred seventy-seven million, one hundred sixteen thousand, nine hundred eighty".