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13895498016 = 25322910511583
BaseRepresentation
bin11001111000011110…
…00111100100100000
31022212101211102210200
430330033013210200
5211424221414031
610214500425200
71001225533011
oct147417074440
938771742720
1013895498016
115990712364
1228396a8200
131405a8019a
1495b673008
15564d8e8e6
hex33c3c7920

13895498016 has 144 divisors (see below), whose sum is σ = 40942661760. Its totient is φ = 4465036800.

The previous prime is 13895498003. The next prime is 13895498021. The reversal of 13895498016 is 61089459831.

13895498016 is a `hidden beast` number, since 1 + 3 + 8 + 9 + 549 + 80 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×138954980162 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8777161 + ... + 8778743.

It is an arithmetic number, because the mean of its divisors is an integer number (284324040).

Almost surely, 213895498016 is an apocalyptic number.

13895498016 is a gapful number since it is divisible by the number (16) 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 13895498016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20471330880).

13895498016 is an abundant number, since it is smaller than the sum of its proper divisors (27047163744).

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

13895498016 is a wasteful number, since it uses less digits than its factorization.

13895498016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2668 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 13895498016 in words is "thirteen billion, eight hundred ninety-five million, four hundred ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1051 1392 1583 2088 2102 2784 3153 3166 4176 4204 4749 6306 6332 8352 8408 9459 9498 12612 12664 14247 16816 18918 18996 25224 25328 28494 30479 33632 37836 37992 45907 50448 50656 56988 60958 75672 75984 91437 91814 100896 113976 121916 137721 151344 151968 182874 183628 227952 243832 274311 275442 302688 365748 367256 413163 455904 487664 548622 550884 731496 734512 826326 975328 1097244 1101768 1462992 1469024 1652652 1663733 2194488 2203536 2925984 3305304 3327466 4388976 4407072 4991199 6610608 6654932 8777952 9982398 13221216 13309864 14973597 19964796 26619728 29947194 39929592 48248257 53239456 59894388 79859184 96496514 119788776 144744771 159718368 192993028 239577552 289489542 385986056 434234313 479155104 578979084 771972112 868468626 1157958168 1543944224 1736937252 2315916336 3473874504 4631832672 6947749008 13895498016