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13913665128 = 23321121597069
BaseRepresentation
bin11001111010101000…
…11010111001101000
31022220200000102101200
430331110122321220
5211443344241003
610220350044200
71001536126236
oct147524327150
938820012350
1013913665128
11599a9a0600
1228437a9660
13140977125c
1495dc41956
1556677c6a3
hex33d51ae68

13913665128 has 72 divisors (see below), whose sum is σ = 41420010450. Its totient is φ = 4216259520.

The previous prime is 13913665123. The next prime is 13913665177. The reversal of 13913665128 is 82156631931.

13913665128 is a `hidden beast` number, since 13 + 91 + 36 + 6 + 512 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 13294551204 + 619113924 = 115302^2 + 24882^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (13913665121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 789823 + ... + 807246.

Almost surely, 213913665128 is an apocalyptic number.

13913665128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13913665128 is an abundant number, since it is smaller than the sum of its proper divisors (27506345322).

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

13913665128 is a wasteful number, since it uses less digits than its factorization.

13913665128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1597103 (or 1597085 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The spelling of 13913665128 in words is "thirteen billion, nine hundred thirteen million, six hundred sixty-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 4356 8712 1597069 3194138 4791207 6388276 9582414 12776552 14373621 17567759 19164828 28747242 35135518 38329656 52703277 57494484 70271036 105406554 114988968 140542072 158109831 193245349 210813108 316219662 386490698 421626216 579736047 632439324 772981396 1159472094 1264878648 1545962792 1739208141 2318944188 3478416282 4637888376 6956832564 13913665128