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1681226478560 = 25510507665491
BaseRepresentation
bin11000011101110000111…
…010000011001111100000
312221201112120020010021002
4120131300322003033200
5210021122434303220
63324202250051132
7232315234164626
oct30356072031740
95851476203232
101681226478560
11599005577012
122319bb419aa8
13c27011934c5
145b52c2c9516
152daec5bdc75
hex18770e833e0

1681226478560 has 24 divisors (see below), whose sum is σ = 3971897555976. Its totient is φ = 672490591360.

The previous prime is 1681226478509. The next prime is 1681226478653. The reversal of 1681226478560 is 658746221861.

It is a super-2 number, since 2×16812264785602 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1681226478496 and 1681226478505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5253832586 + ... + 5253832905.

It is an arithmetic number, because the mean of its divisors is an integer number (165495731499).

Almost surely, 21681226478560 is an apocalyptic number.

1681226478560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1681226478560 is an abundant number, since it is smaller than the sum of its proper divisors (2290671077416).

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

1681226478560 is a wasteful number, since it uses less digits than its factorization.

1681226478560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10507665506 (or 10507665498 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 56.

The spelling of 1681226478560 in words is "one trillion, six hundred eighty-one billion, two hundred twenty-six million, four hundred seventy-eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 10507665491 21015330982 42030661964 52538327455 84061323928 105076654910 168122647856 210153309820 336245295712 420306619640 840613239280 1681226478560