Search a number
-
+
1683670185372 = 2237211872412287
BaseRepresentation
bin11000100000000010100…
…100000011010110011100
312221221211212111021210210
4120200002210003112130
5210041124031412442
63325244543132420
7232432626305400
oct30400244032634
95857755437723
101683670185372
1159a049a2111a
122323818a4110
13c2a00542c76
145b6c0a85100
152dbe1dca19c
hex1880290359c

1683670185372 has 72 divisors (see below), whose sum is σ = 4573813837824. Its totient is φ = 480643160928.

The previous prime is 1683670185367. The next prime is 1683670185391. The reversal of 1683670185372 is 2735810763861.

It is a super-2 number, since 2×16836701853722 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508188 + ... + 1904099.

It is an arithmetic number, because the mean of its divisors is an integer number (63525192192).

Almost surely, 21683670185372 is an apocalyptic number.

1683670185372 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1683670185372 is an abundant number, since it is smaller than the sum of its proper divisors (2890143652452).

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

1683670185372 is a wasteful number, since it uses less digits than its factorization.

1683670185372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413495 (or 2413486 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 1683670185372 in words is "one trillion, six hundred eighty-three billion, six hundred seventy million, one hundred eighty-five thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1187 2374 3561 4748 7122 8309 14244 16618 24927 33236 49854 58163 99708 116326 174489 232652 348978 697956 2412287 4824574 7236861 9649148 14473722 16886009 28947444 33772018 50658027 67544036 101316054 118202063 202632108 236404126 354606189 472808252 709212378 1418424756 2863384669 5726769338 8590154007 11453538676 17180308014 20043692683 34360616028 40087385366 60131078049 80174770732 120262156098 140305848781 240524312196 280611697562 420917546343 561223395124 841835092686 1683670185372