Search a number
-
+
13797471072 = 25371119313169
BaseRepresentation
bin11001101100110010…
…01011001101100000
31022121120101011010010
430312121023031200
5211224123033242
610201035404520
7665625366120
oct146631131540
938546334103
1013797471072
115940349260
1228108b3740
1313bb67a788
1494c636c80
1555b47989c
hex33664b360

13797471072 has 384 divisors, whose sum is σ = 49080729600. Its totient is φ = 3284582400.

The previous prime is 13797471067. The next prime is 13797471161. The reversal of 13797471072 is 27017479731.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4352304 + ... + 4355472.

It is an arithmetic number, because the mean of its divisors is an integer number (127814400).

Almost surely, 213797471072 is an apocalyptic number.

13797471072 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 13797471072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24540364800).

13797471072 is an abundant number, since it is smaller than the sum of its proper divisors (35283258528).

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

13797471072 is a wasteful number, since it uses less digits than its factorization.

13797471072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3250 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 48.

The spelling of 13797471072 in words is "thirteen billion, seven hundred ninety-seven million, four hundred seventy-one thousand, seventy-two".