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13406014632 = 2331767348823
BaseRepresentation
bin11000111110000111…
…11000110010101000
31021121021210002211110
430133003320302220
5204423414432012
610054133230320
7653133146523
oct143703706250
937537702743
1013406014632
11575a38923a
1227217923a0
13135853ab4a
14912657bba
15536e0273c
hex31f0f8ca8

13406014632 has 64 divisors (see below), whose sum is σ = 35539966080. Its totient is φ = 4199473152.

The previous prime is 13406014627. The next prime is 13406014651. The reversal of 13406014632 is 23641060431.

13406014632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13406014632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250173 + ... + 298995.

It is an arithmetic number, because the mean of its divisors is an integer number (555311970).

Almost surely, 213406014632 is an apocalyptic number.

13406014632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13406014632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769983040).

13406014632 is an abundant number, since it is smaller than the sum of its proper divisors (22133951448).

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

13406014632 is a wasteful number, since it uses less digits than its factorization.

13406014632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49522 (or 49518 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The spelling of 13406014632 in words is "thirteen billion, four hundred six million, fourteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 673 1346 2019 2692 4038 5384 8076 11441 16152 22882 34323 45764 48823 68646 91528 97646 137292 146469 195292 274584 292938 390584 585876 829991 1171752 1659982 2489973 3319964 4979946 6639928 9959892 19919784 32857879 65715758 98573637 131431516 197147274 262863032 394294548 558583943 788589096 1117167886 1675751829 2234335772 3351503658 4468671544 6703007316 13406014632