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12964431480 = 233571113372917
BaseRepresentation
bin11000001001011110…
…11000011001111000
31020110111212100121220
430010233120121320
5203022343301410
65542240432040
7636161564220
oct140457303170
936414770556
1012964431480
1155530a1290
122619918620
1312b7bca240
148adb4b080
1550d278070
hex304bd8678

12964431480 has 512 divisors, whose sum is σ = 53650114560. Its totient is φ = 2418647040.

The previous prime is 12964431391. The next prime is 12964431499. The reversal of 12964431480 is 8413446921.

It is a super-2 number, since 2×129644314802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4442982 + ... + 4445898.

It is an arithmetic number, because the mean of its divisors is an integer number (104785380).

Almost surely, 212964431480 is an apocalyptic number.

12964431480 is a gapful number since it is divisible by the number (10) 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 12964431480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26825057280).

12964431480 is an abundant number, since it is smaller than the sum of its proper divisors (40685683080).

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

12964431480 is a wasteful number, since it uses less digits than its factorization.

12964431480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2999 (or 2995 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

It can be divided in two parts, 12964 and 431480, that added together give a palindrome (444444).

The spelling of 12964431480 in words is "twelve billion, nine hundred sixty-four million, four hundred thirty-one thousand, four hundred eighty".