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13928468184 = 2333615212029
BaseRepresentation
bin11001111100011001…
…11000111011011000
31022221200212111101000
430332030320323120
5212011141440214
610222035225000
71002106011651
oct147614707330
938850774330
1013928468184
1159a8291334
122848748160
13140c855067
14961bb6528
15567c03809
hex33e338ed8

13928468184 has 128 divisors (see below), whose sum is σ = 39419352000. Its totient is φ = 4555699200.

The previous prime is 13928468143. The next prime is 13928468207. The reversal of 13928468184 is 48186482931.

It is a happy number.

13928468184 is a `hidden beast` number, since 13 + 92 + 8 + 468 + 1 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13928468184.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6863682 + ... + 6865710.

Almost surely, 213928468184 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 13928468184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19709676000).

13928468184 is an abundant number, since it is smaller than the sum of its proper divisors (25490883816).

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

13928468184 is a wasteful number, since it uses less digits than its factorization.

13928468184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2626 (or 2616 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 13928468184 in words is "thirteen billion, nine hundred twenty-eight million, four hundred sixty-eight thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 108 122 183 216 244 366 488 521 549 732 1042 1098 1464 1563 1647 2029 2084 2196 3126 3294 4058 4168 4392 4689 6087 6252 6588 8116 9378 12174 12504 13176 14067 16232 18261 18756 24348 28134 31781 36522 37512 48696 54783 56268 63562 73044 95343 109566 112536 123769 127124 146088 190686 219132 247538 254248 286029 371307 381372 438264 495076 572058 742614 762744 858087 990152 1057109 1113921 1144116 1485228 1716174 2114218 2227842 2288232 2970456 3171327 3341763 3432348 4228436 4455684 6342654 6683526 6864696 8456872 8911368 9513981 12685308 13367052 19027962 25370616 26734104 28541943 38055924 57083886 64483649 76111848 114167772 128967298 193450947 228335544 257934596 386901894 515869192 580352841 773803788 1160705682 1547607576 1741058523 2321411364 3482117046 4642822728 6964234092 13928468184