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1683525242373 = 3133118134722171
BaseRepresentation
bin11000011111111001111…
…011001000111000000101
312221221110202202102101120
4120133321323020320011
5210040324430223443
63325222324344153
7232426216310142
oct30377173107005
95857422672346
101683525242373
11599a85123317
12232341245059
13c29a94c4a90
145b6a97153c9
152dbd42e9083
hex187f9ec8e05

1683525242373 has 64 divisors (see below), whose sum is σ = 2516480139264. Its totient is φ = 994138272000.

The previous prime is 1683525242309. The next prime is 1683525242393. The reversal of 1683525242373 is 3732425253861.

It is not a de Polignac number, because 1683525242373 - 26 = 1683525242309 is a prime.

It is a super-2 number, since 2×16835252423732 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1683525242393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 75922578 + ... + 75944748.

It is an arithmetic number, because the mean of its divisors is an integer number (39320002176).

Almost surely, 21683525242373 is an apocalyptic number.

1683525242373 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1683525242373 is a deficient number, since it is larger than the sum of its proper divisors (832954896891).

1683525242373 is a wasteful number, since it uses less digits than its factorization.

1683525242373 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22746.

The product of its digits is 7257600, while the sum is 51.

The spelling of 1683525242373 in words is "one trillion, six hundred eighty-three billion, five hundred twenty-five million, two hundred forty-two thousand, three hundred seventy-three".

Divisors: 1 3 13 31 39 93 181 347 403 543 1041 1209 2353 4511 5611 7059 10757 13533 16833 22171 32271 62807 66513 72943 139841 188421 218829 288223 419523 687301 816491 864669 1947017 2061903 2449473 4012951 5841051 7693337 8934913 12038853 23080011 25311221 26804739 52168363 75933663 100013381 124401481 156505089 238493447 300040143 373204443 715480341 1392493997 1617219253 3100414811 4177481991 4851657759 9301244433 18102421961 43167313907 54307265883 129501941721 561175080791 1683525242373