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1814106972 = 2231131678011
BaseRepresentation
bin110110000100001…
…0001001101011100
311200102120011221010
41230020101031130
512203402410342
6500002335220
762645440416
oct15410211534
94612504833
101814106972
1185101a467
1242765a510
1322babc0a2
14132d099b6
15a93e329c
hex6c21135c

1814106972 has 48 divisors (see below), whose sum is σ = 4296483072. Its totient is φ = 595687680.

The previous prime is 1814106971. The next prime is 1814106979. The reversal of 1814106972 is 2796014181.

It is a self number, because there is not a number n which added to its sum of digits gives 1814106972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1814106971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222447 + ... + 230457.

It is an arithmetic number, because the mean of its divisors is an integer number (89510064).

Almost surely, 21814106972 is an apocalyptic number.

1814106972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1814106972 is an abundant number, since it is smaller than the sum of its proper divisors (2482376100).

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

1814106972 is a wasteful number, since it uses less digits than its factorization.

1814106972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8296 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1814106972 is about 42592.3346624718. The cubic root of 1814106972 is about 1219.6099649004.

The spelling of 1814106972 in words is "one billion, eight hundred fourteen million, one hundred six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 113 167 226 334 339 452 501 668 678 1002 1356 2004 8011 16022 18871 24033 32044 37742 48066 56613 75484 96132 113226 226452 905243 1337837 1810486 2675674 2715729 3620972 4013511 5351348 5431458 8027022 10862916 16054044 151175581 302351162 453526743 604702324 907053486 1814106972