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13849854304 = 25111317178037
BaseRepresentation
bin11001110011000010…
…00000000101100000
31022202012221111101211
430321201000011200
5211331030314204
610210150235504
71000132550656
oct147141000540
938665844354
1013849854304
115967977590
122826355b94
1313c948b880
14955590dd6
15560d75804
hex339840160

13849854304 has 96 divisors (see below), whose sum is σ = 33918375456. Its totient is φ = 5469265920.

The previous prime is 13849854301. The next prime is 13849854323. The reversal of 13849854304 is 40345894831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13849854301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11227 + ... + 166810.

It is an arithmetic number, because the mean of its divisors is an integer number (353316411).

Almost surely, 213849854304 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 13849854304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16959187728).

13849854304 is an abundant number, since it is smaller than the sum of its proper divisors (20068521152).

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

13849854304 is a wasteful number, since it uses less digits than its factorization.

13849854304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178088 (or 178080 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

The spelling of 13849854304 in words is "thirteen billion, eight hundred forty-nine million, eight hundred fifty-four thousand, three hundred four".

Divisors: 1 2 4 8 11 13 16 17 22 26 32 34 44 52 68 88 104 136 143 176 187 208 221 272 286 352 374 416 442 544 572 748 884 1144 1496 1768 2288 2431 2992 3536 4576 4862 5984 7072 9724 19448 38896 77792 178037 356074 712148 1424296 1958407 2314481 2848592 3026629 3916814 4628962 5697184 6053258 7833628 9257924 12106516 15667256 18515848 24213032 25459291 31334512 33292919 37031696 39346177 48426064 50918582 62669024 66585838 74063392 78692354 96852128 101837164 133171676 157384708 203674328 266343352 314769416 407348656 432807947 532686704 629538832 814697312 865615894 1065373408 1259077664 1731231788 3462463576 6924927152 13849854304