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1683002635872 = 25352517333821
BaseRepresentation
bin11000011111011010110…
…001100011011001100000
312221220010100101021001020
4120133122301203121200
5210033242133321442
63325054415205440
7232410242240055
oct30373261433140
95856110337036
101683002635872
11599837126318
12232216216880
13c292515606c
145b65a15702c
152dba34b79ec
hex187dac63660

1683002635872 has 48 divisors (see below), whose sum is σ = 4417979276592. Its totient is φ = 560988515840.

The previous prime is 1683002635871. The next prime is 1683002635903. The reversal of 1683002635872 is 2785362003861.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683002635871) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4874722 + ... + 5208542.

It is an arithmetic number, because the mean of its divisors is an integer number (92041234929).

Almost surely, 21683002635872 is an apocalyptic number.

1683002635872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1683002635872 is an abundant number, since it is smaller than the sum of its proper divisors (2734976640720).

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

1683002635872 is a wasteful number, since it uses less digits than its factorization.

1683002635872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386351 (or 386343 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1683002635872 in words is "one trillion, six hundred eighty-three billion, two million, six hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 52517 105034 157551 210068 315102 333821 420136 630204 667642 840272 1001463 1260408 1335284 1680544 2002926 2520816 2670568 4005852 5041632 5341136 8011704 10682272 16023408 32046816 17531277457 35062554914 52593832371 70125109828 105187664742 140250219656 210375329484 280500439312 420750658968 561000878624 841501317936 1683002635872