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1982187672 = 2331095711327
BaseRepresentation
bin111011000100101…
…1100100010011000
312010010211120022020
41312021130202120
513024420001142
6524405054440
7100056213543
oct16611344230
95103746266
101982187672
11927990a33
124739b7420
1325787b91a
1414b37d85a
15b9044cec
hex7625c898

1982187672 has 64 divisors (see below), whose sum is σ = 5013465600. Its totient is φ = 653028480.

The previous prime is 1982187637. The next prime is 1982187719. The reversal of 1982187672 is 2767812891.

Its product of digits (677376) is a multiple of the sum of its prime factors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1493073 + ... + 1494399.

It is an arithmetic number, because the mean of its divisors is an integer number (78335400).

Almost surely, 21982187672 is an apocalyptic number.

1982187672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1982187672 is an abundant number, since it is smaller than the sum of its proper divisors (3031277928).

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

1982187672 is a wasteful number, since it uses less digits than its factorization.

1982187672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2016 (or 2012 counting only the distinct ones).

The product of its digits is 677376, while the sum is 51.

The square root of 1982187672 is about 44521.7662722404. The cubic root of 1982187672 is about 1256.1695360557.

The spelling of 1982187672 in words is "one billion, nine hundred eighty-two million, one hundred eighty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 109 218 327 436 571 654 872 1142 1308 1327 1713 2284 2616 2654 3426 3981 4568 5308 6852 7962 10616 13704 15924 31848 62239 124478 144643 186717 248956 289286 373434 433929 497912 578572 746868 757717 867858 1157144 1493736 1515434 1735716 2273151 3030868 3471432 4546302 6061736 9092604 18185208 82591153 165182306 247773459 330364612 495546918 660729224 991093836 1982187672