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13952846544 = 24371331103043
BaseRepresentation
bin11001111111010011…
…11000101011010000
31100000101202001012020
430333221320223100
5212033412042134
610224305531440
71002523144620
oct147751705320
940011661166
1013952846544
115a1002213a
122854943b80
13141490c320
14965120880
15569e1bb49
hex33fa78ad0

13952846544 has 160 divisors (see below), whose sum is σ = 45794402304. Its totient is φ = 3561131520.

The previous prime is 13952846533. The next prime is 13952846587. The reversal of 13952846544 is 44564825931.

It is a happy number.

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, 83887 + ... + 186929.

Almost surely, 213952846544 is an apocalyptic number.

13952846544 is a gapful number since it is divisible by the number (14) 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 13952846544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22897201152).

13952846544 is an abundant number, since it is smaller than the sum of its proper divisors (31841555760).

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

13952846544 is a wasteful number, since it uses less digits than its factorization.

13952846544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103105 (or 103099 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 51.

The spelling of 13952846544 in words is "thirteen billion, nine hundred fifty-two million, eight hundred forty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 31 39 42 48 52 56 62 78 84 91 93 104 112 124 156 168 182 186 208 217 248 273 312 336 364 372 403 434 496 546 624 651 728 744 806 868 1092 1209 1302 1456 1488 1612 1736 2184 2418 2604 2821 3224 3472 4368 4836 5208 5642 6448 8463 9672 10416 11284 16926 19344 22568 33852 45136 67704 103043 135408 206086 309129 412172 618258 721301 824344 1236516 1339559 1442602 1648688 2163903 2473032 2679118 2885204 3194333 4018677 4327806 4946064 5358236 5770408 6388666 8037354 8655612 9376913 9582999 10716472 11540816 12777332 16074708 17311224 18753826 19165998 21432944 22360331 25554664 28130739 32149416 34622448 37507652 38331996 41526329 44720662 51109328 56261478 64298832 67080993 75015304 76663992 83052658 89441324 112522956 124578987 134161986 150030608 153327984 166105316 178882648 225045912 249157974 268323972 290684303 332210632 357765296 450091824 498315948 536647944 581368606 664421264 872052909 996631896 1073295888 1162737212 1744105818 1993263792 2325474424 3488211636 4650948848 6976423272 13952846544