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13420638448 = 2471920893019
BaseRepresentation
bin11000111111110111…
…01011000011110000
31021122022022001221021
430133323223003300
5204441140412243
610055414505224
7653401354540
oct143773530360
937568261837
1013420638448
115767667338
122726665214
13135b58b1a9
14914583320
155383406ed
hex31feeb0f0

13420638448 has 80 divisors (see below), whose sum is σ = 31306528000. Its totient is φ = 5444568576.

The previous prime is 13420638443. The next prime is 13420638503. The reversal of 13420638448 is 84483602431.

It is a super-2 number, since 2×134206384482 (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 (13420638443) 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, 4443883 + ... + 4446901.

It is an arithmetic number, because the mean of its divisors is an integer number (391331600).

Almost surely, 213420638448 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 13420638448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15653264000).

13420638448 is an abundant number, since it is smaller than the sum of its proper divisors (17885889552).

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

13420638448 is a wasteful number, since it uses less digits than its factorization.

13420638448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5142 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 43.

The spelling of 13420638448 in words is "thirteen billion, four hundred twenty million, six hundred thirty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 304 532 1064 2089 2128 3019 4178 6038 8356 12076 14623 16712 21133 24152 29246 33424 39691 42266 48304 57361 58492 79382 84532 114722 116984 158764 169064 229444 233968 277837 317528 338128 401527 458888 555674 635056 803054 917776 1111348 1606108 2222696 3212216 4445392 6306691 6424432 12613382 25226764 44146837 50453528 88293674 100907056 119827129 176587348 239654258 353174696 479308516 706349392 838789903 958617032 1677579806 1917234064 3355159612 6710319224 13420638448