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13229942448 = 243299539973
BaseRepresentation
bin11000101001001000…
…01110011010110000
31021011000110201012110
430110210032122300
5204043331124243
610024443325320
7645564440532
oct142444163260
937130421173
1013229942448
115679a59638
122692820840
13132ac10a18
148d7103852
15526722e33
hex31490e6b0

13229942448 has 80 divisors (see below), whose sum is σ = 35396529120. Its totient is φ = 4253018112.

The previous prime is 13229942441. The next prime is 13229942449. The reversal of 13229942448 is 84424992231.

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

It is a junction number, because it is equal to n+sod(n) for n = 13229942397 and 13229942406.

It is not an unprimeable number, because it can be changed into a prime (13229942441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1321590 + ... + 1331562.

It is an arithmetic number, because the mean of its divisors is an integer number (442456614).

Almost surely, 213229942448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13229942448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698264560).

13229942448 is an abundant number, since it is smaller than the sum of its proper divisors (22166586672).

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

13229942448 is a wasteful number, since it uses less digits than its factorization.

13229942448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10966 (or 10960 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The spelling of 13229942448 in words is "thirteen billion, two hundred twenty-nine million, nine hundred forty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 953 1392 1906 2859 3812 5718 7624 9973 11436 15248 19946 22872 27637 29919 39892 45744 55274 59838 79784 82911 110548 119676 159568 165822 221096 239352 289217 331644 442192 478704 578434 663288 867651 1156868 1326576 1735302 2313736 3470604 4627472 6941208 9504269 13882416 19008538 28512807 38017076 57025614 76034152 114051228 152068304 228102456 275623801 456204912 551247602 826871403 1102495204 1653742806 2204990408 3307485612 4409980816 6614971224 13229942448