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13795144992 = 25351774067
BaseRepresentation
bin11001101100100000…
…10011010100100000
31022121101222222100000
430312100103110200
5211223024114432
610200513500000
7665566540416
oct146620232440
938541888300
1013795144992
115939aaa682
12280bb71600
1313bb044ab5
1494c1cd2b6
1555b16a57c
hex336413520

13795144992 has 72 divisors (see below), whose sum is σ = 40682927376. Its totient is φ = 4598379072.

The previous prime is 13795144973. The next prime is 13795145027. The reversal of 13795144992 is 29944159731.

13795144992 is a `hidden beast` number, since 1 + 37 + 9 + 514 + 4 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 879258 + ... + 894809.

It is an arithmetic number, because the mean of its divisors is an integer number (565040658).

Almost surely, 213795144992 is an apocalyptic number.

13795144992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13795144992 is an abundant number, since it is smaller than the sum of its proper divisors (26887782384).

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

13795144992 is an equidigital number, since it uses as much as digits as its factorization.

13795144992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774092 (or 1774072 counting only the distinct ones).

The product of its digits is 2449440, while the sum is 54.

The spelling of 13795144992 in words is "thirteen billion, seven hundred ninety-five million, one hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 1774067 3548134 5322201 7096268 10644402 14192536 15966603 21288804 28385072 31933206 42577608 47899809 56770144 63866412 85155216 95799618 127732824 143699427 170310432 191599236 255465648 287398854 383198472 431098281 510931296 574797708 766396944 862196562 1149595416 1532793888 1724393124 2299190832 3448786248 4598381664 6897572496 13795144992