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13995428216 = 23721121092707
BaseRepresentation
bin11010000100011000…
…10100100101111000
31100010100212102021012
431002030110211320
5212130312200331
610232430333052
71003551114500
oct150214244570
940110772235
1013995428216
115a32066400
12286705a188
13142069ac93
1496aa46a00
1556da2d82b
hex342314978

13995428216 has 144 divisors (see below), whose sum is σ = 33873424200. Its totient is φ = 5400743040.

The previous prime is 13995428191. The next prime is 13995428219. The reversal of 13995428216 is 61282459931.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13995428219) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5168735 + ... + 5171441.

Almost surely, 213995428216 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 13995428216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16936712100).

13995428216 is an abundant number, since it is smaller than the sum of its proper divisors (19877995984).

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

13995428216 is a wasteful number, since it uses less digits than its factorization.

13995428216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2858 (or 2836 counting only the distinct ones).

The product of its digits is 933120, while the sum is 50.

The spelling of 13995428216 in words is "thirteen billion, nine hundred ninety-five million, four hundred twenty-eight thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 88 98 109 121 154 196 218 242 308 392 436 484 539 616 763 847 872 968 1078 1199 1526 1694 2156 2398 2707 3052 3388 4312 4796 5341 5414 5929 6104 6776 8393 9592 10682 10828 11858 13189 16786 18949 21364 21656 23716 26378 29777 33572 37898 42728 47432 52756 58751 59554 67144 75796 92323 105512 117502 119108 132643 151592 184646 208439 235004 238216 265286 295063 327547 369292 416878 470008 530572 590126 646261 655094 738584 833756 1061144 1180252 1292522 1310188 1459073 1667512 2065441 2292829 2360504 2585044 2620376 2918146 3245693 4130882 4585658 5170088 5836292 6491386 8261764 9171316 11672584 12982772 14458087 16049803 16523528 18342632 22719851 25965544 28916174 32099606 35702623 45439702 57832348 64199212 71405246 90879404 115664696 128398424 142810492 159038957 181758808 249918361 285620984 318077914 499836722 636155828 999673444 1272311656 1749428527 1999346888 3498857054 6997714108 13995428216