Search a number
-
+
1814870991456 = 25332100545129
BaseRepresentation
bin11010011010001110101…
…111011010001001100000
320102111111110221210201000
4122122032233122021200
5214213323433211311
63505423515512000
7245056123616205
oct32321657321140
96374443853630
101814870991456
1163a7563a7676
12253898758600
131021ac131b33
1463ba980dcac
1532320388056
hex1a68ebda260

1814870991456 has 48 divisors (see below), whose sum is σ = 5293373727600. Its totient is φ = 604956996864.

The previous prime is 1814870991449. The next prime is 1814870991457. The reversal of 1814870991456 is 6541990784181.

1814870991456 is a `hidden beast` number, since 1 + 8 + 1 + 487 + 0 + 9 + 9 + 145 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 1814870991393 and 1814870991402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814870991457) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1050271701 + ... + 1050273428.

It is an arithmetic number, because the mean of its divisors is an integer number (110278619325).

Almost surely, 21814870991456 is an apocalyptic number.

1814870991456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1814870991456 is an abundant number, since it is smaller than the sum of its proper divisors (3478502736144).

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

1814870991456 is a wasteful number, since it uses less digits than its factorization.

1814870991456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100545148 (or 2100545134 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 63.

The spelling of 1814870991456 in words is "one trillion, eight hundred fourteen billion, eight hundred seventy million, nine hundred ninety-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 2100545129 4201090258 6301635387 8402180516 12603270774 16804361032 18904906161 25206541548 33608722064 37809812322 50413083096 56714718483 67217444128 75619624644 100826166192 113429436966 151239249288 201652332384 226858873932 302478498576 453717747864 604956997152 907435495728 1814870991456