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13407481461 = 3111947454969
BaseRepresentation
bin11000111110010010…
…11110111001110101
31021121101112121221110
430133021132321311
5204424303401321
610054224505233
7653151466143
oct143711367165
937541477843
1013407481461
1157601a02a0
12272217b219
1313589326aa
1491291a593
155370e2176
hex31f25ee75

13407481461 has 32 divisors (see below), whose sum is σ = 20965017600. Its totient is φ = 7534270080.

The previous prime is 13407481459. The next prime is 13407481481. The reversal of 13407481461 is 16418470431.

It is not a de Polignac number, because 13407481461 - 21 = 13407481459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13407481411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198016 + ... + 256953.

It is an arithmetic number, because the mean of its divisors is an integer number (655156800).

Almost surely, 213407481461 is an apocalyptic number.

13407481461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13407481461 is a deficient number, since it is larger than the sum of its proper divisors (7557536139).

13407481461 is a wasteful number, since it uses less digits than its factorization.

13407481461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455049.

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 13407481461 in words is "thirteen billion, four hundred seven million, four hundred eighty-one thousand, four hundred sixty-one".

Divisors: 1 3 11 19 33 47 57 141 209 517 627 893 1551 2679 9823 29469 454969 1364907 5004659 8644411 15013977 21383543 25933233 64150629 95088521 235218973 285265563 406287317 705656919 1218861951 4469160487 13407481461