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14829506772 = 22323283189859
BaseRepresentation
bin11011100111110100…
…00101000011010100
31102021111022222221120
431303322011003110
5220332323204042
610451303443540
71033326504423
oct156372050324
942244288846
1014829506772
11631a962a23
122a5a4565b0
1315244233a2
14a097232ba
155bbd87dec
hex373e850d4

14829506772 has 48 divisors (see below), whose sum is σ = 36234401280. Its totient is φ = 4711516128.

The previous prime is 14829506771. The next prime is 14829506773. The reversal of 14829506772 is 27760592841.

It is a happy number.

14829506772 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14829506771) and next prime (14829506773).

It is a super-2 number, since 2×148295067722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14829506771) by changing a digit.

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, 16822 + ... + 173037.

It is an arithmetic number, because the mean of its divisors is an integer number (754883360).

Almost surely, 214829506772 is an apocalyptic number.

14829506772 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 14829506772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18117200640).

14829506772 is an abundant number, since it is smaller than the sum of its proper divisors (21404894508).

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

14829506772 is a wasteful number, since it uses less digits than its factorization.

14829506772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190172 (or 190170 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 14829506772 in words is "fourteen billion, eight hundred twenty-nine million, five hundred six thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 283 566 849 1132 1698 3396 6509 13018 19527 26036 39054 78108 189859 379718 569577 759436 1139154 2278308 4366757 8733514 13100271 17467028 26200542 52401084 53730097 107460194 161190291 214920388 322380582 644761164 1235792231 2471584462 3707376693 4943168924 7414753386 14829506772