Search a number
-
+
1683606368628 = 223252389420351
BaseRepresentation
bin11000011111111110110…
…000100111000101110100
312221221200102102001200200
4120133332300213011310
5210041011212244003
63325234343240500
7232431223003632
oct30377660470564
95857612361620
101683606368628
1159a0169a3708
12232364449130
13c29c025a992
145b6b63d2352
152dbdb4c16a3
hex187fec27174

1683606368628 has 36 divisors (see below), whose sum is σ = 4263920064768. Its totient is φ = 560129072400.

The previous prime is 1683606368593. The next prime is 1683606368641. The reversal of 1683606368628 is 8268636063861.

1683606368628 is a `hidden beast` number, since 16 + 8 + 3 + 606 + 3 + 6 + 8 + 6 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×16836063686282 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44691348 + ... + 44729003.

Almost surely, 21683606368628 is an apocalyptic number.

1683606368628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1683606368628 is an abundant number, since it is smaller than the sum of its proper divisors (2580313696140).

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

1683606368628 is a wasteful number, since it uses less digits than its factorization.

1683606368628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89420884 (or 89420879 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 1683606368628 in words is "one trillion, six hundred eighty-three billion, six hundred six million, three hundred sixty-eight thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 523 1046 1569 2092 3138 4707 6276 9414 18828 89420351 178840702 268261053 357681404 536522106 804783159 1073044212 1609566318 3219132636 46766843573 93533687146 140300530719 187067374292 280601061438 420901592157 561202122876 841803184314 1683606368628