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1684118725696 = 26112147472
BaseRepresentation
bin11000100000011101010…
…011000110010001000000
312222000000010111111110101
4120200131103012101000
5210043033343210241
63325401245012144
7232450013655211
oct30403523062100
95860003444411
101684118725696
1159a25a130100
12232487b54054
13c2a7244b444
145b724483408
152dc1b47ae31
hex1881d4c6440

1684118725696 has 63 divisors (see below), whose sum is σ = 3673602594487. Its totient is φ = 765456602240.

The previous prime is 1684118725691. The next prime is 1684118725741. The reversal of 1684118725696 is 6965278114861.

The square root of 1684118725696 is 1297736.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1684118725691) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 114193395 + ... + 114208141.

Almost surely, 21684118725696 is an apocalyptic number.

1684118725696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1684118725696 is the 1297736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1684118725696

1684118725696 is an abundant number, since it is smaller than the sum of its proper divisors (1989483868791).

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

1684118725696 is an frugal number, since it uses more digits than its factorization.

1684118725696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29528 (or 14760 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 64.

Multiplying 1684118725696 by its sum of digits (64), we get a square (107783598444544 = 103818882).

1684118725696 divided by its sum of digits (64) gives a square (26314355089 = 1622172).

The spelling of 1684118725696 in words is "one trillion, six hundred eighty-four billion, one hundred eighteen million, seven hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 14747 29494 58988 117976 162217 235952 324434 471904 648868 943808 1297736 1784387 2595472 3568774 5190944 7137548 10381888 14275096 28550192 57100384 114200768 217474009 434948018 869896036 1739792072 2392214099 3479584144 4784428198 6959168288 9568856396 13918336576 19137712792 26314355089 38275425584 52628710178 76550851168 105257420356 153101702336 210514840712 421029681424 842059362848 1684118725696