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13992209595 = 3357131138967
BaseRepresentation
bin11010000100000000…
…00010110010111011
31100010010210220011000
431002000002302323
5212124001201340
610232233340043
71003511550660
oct150200026273
940103726130
1013992209595
115a30268191
122865b67623
13141cb11c80
1496a449a67
1556d5e4d30
hex342002cbb

13992209595 has 64 divisors (see below), whose sum is σ = 30615459840. Its totient is φ = 5904399744.

The previous prime is 13992209591. The next prime is 13992209617. The reversal of 13992209595 is 59590229931.

It is a happy number.

It is not a de Polignac number, because 13992209595 - 22 = 13992209591 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13992209591) 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 63 ways as a sum of consecutive naturals, for example, 557199 + ... + 581768.

It is an arithmetic number, because the mean of its divisors is an integer number (478366560).

Almost surely, 213992209595 is an apocalyptic number.

13992209595 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13992209595 is an abundant number, since it is smaller than the sum of its proper divisors (16623250245).

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

13992209595 is a wasteful number, since it uses less digits than its factorization.

13992209595 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139001 (or 1138995 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 13992209595 in words is "thirteen billion, nine hundred ninety-two million, two hundred nine thousand, five hundred ninety-five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 91 105 117 135 189 195 273 315 351 455 585 819 945 1365 1755 2457 4095 12285 1138967 3416901 5694835 7972769 10250703 14806571 17084505 23918307 30752109 39863845 44419713 51253515 71754921 74032855 103645997 119591535 133259139 153760545 215264763 222098565 310937991 358774605 399777417 518229985 666295695 932813973 1076323815 1554689955 1998887085 2798441919 4664069865 13992209595