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13404999987 = 37172127167
BaseRepresentation
bin11000111110000000…
…00001000100110011
31021121012212120000000
430133000001010303
5204423134444422
610054055401043
7653121422421
oct143700010463
937535776000
1013404999987
115759855995
122721383183
131358274072
14912472111
15536ca1cac
hex31f001133

13404999987 has 96 divisors (see below), whose sum is σ = 21653667840. Its totient is φ = 8294783616.

The previous prime is 13404999983. The next prime is 13404999997. The reversal of 13404999987 is 78999940431.

13404999987 is a `hidden beast` number, since 13 + 40 + 499 + 9 + 98 + 7 = 666.

It is not a de Polignac number, because 13404999987 - 22 = 13404999983 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13404999983) 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 95 ways as a sum of consecutive naturals, for example, 80269378 + ... + 80269544.

It is an arithmetic number, because the mean of its divisors is an integer number (225559040).

Almost surely, 213404999987 is an apocalyptic number.

13404999987 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13404999987 is a deficient number, since it is larger than the sum of its proper divisors (8248667853).

13404999987 is an equidigital number, since it uses as much as digits as its factorization.

13404999987 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 13404999987 in words is "thirteen billion, four hundred four million, nine hundred ninety-nine thousand, nine hundred eighty-seven".

Divisors: 1 3 9 17 27 51 81 127 153 167 243 289 381 459 501 729 867 1143 1377 1503 2159 2187 2601 2839 3429 4131 4509 6477 7803 8517 10287 12393 13527 19431 21209 23409 25551 30861 36703 37179 40581 48263 58293 63627 70227 76653 92583 110109 121743 144789 174879 190881 210681 229959 277749 330327 360553 365229 434367 524637 572643 632043 689877 990981 1081659 1303101 1573911 1717929 2069631 2972943 3244977 3909303 4721733 5153787 6129401 6208893 8918829 9734931 11727909 15461361 18388203 26756487 29204793 35183727 46384083 55164609 80269461 87614379 105551181 165493827 262843137 496481481 788529411 1489444443 4468333329 13404999987