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1683663872454 = 234432371101939
BaseRepresentation
bin11000100000000010001…
…011111110000111000110
312221221211102121120010000
4120200002023332013012
5210041120422404304
63325244155542130
7232432521533364
oct30400213760706
95857742546100
101683663872454
1159a0463aa133
1223237b75a946
13c29cc142705
145b6bdcc0634
152dbe157e939
hex188022fe1c6

1683663872454 has 80 divisors (see below), whose sum is σ = 3862056432960. Its totient is φ = 547933060080.

The previous prime is 1683663872441. The next prime is 1683663872461. The reversal of 1683663872454 is 4542783663861.

It is a happy number.

1683663872454 is a `hidden beast` number, since 1 + 6 + 8 + 3 + 6 + 6 + 387 + 245 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1683663872391 and 1683663872400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16465417 + ... + 16567355.

It is an arithmetic number, because the mean of its divisors is an integer number (48275705412).

Almost surely, 21683663872454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1683663872454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1931028216480).

1683663872454 is an abundant number, since it is smaller than the sum of its proper divisors (2178392560506).

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

1683663872454 is a wasteful number, since it uses less digits than its factorization.

1683663872454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104367 (or 104358 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 1683663872454 in words is "one trillion, six hundred eighty-three billion, six hundred sixty-three million, eight hundred seventy-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 1161 2322 2371 3483 4742 6966 7113 14226 21339 42678 64017 101939 101953 128034 192051 203878 203906 305817 305859 384102 611634 611718 917451 917577 1834902 1835154 2752353 2752731 4383377 5504706 5505462 8257059 8258193 8766754 13150131 16514118 16516386 26300262 39450393 78900786 118351179 236702358 241697369 355053537 483394738 710107074 725092107 1450184214 2175276321 4350552642 6525828963 10392986867 13051657926 19577486889 20785973734 31178960601 39154973778 62357921202 93536881803 187073763606 280610645409 561221290818 841831936227 1683663872454