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13506818416 = 2471383111767
BaseRepresentation
bin11001001010001000…
…11011000101110000
31021212022110110121221
430211010123011300
5210130221142131
610112133554424
7655466030230
oct144504330560
937768413557
1013506818416
115801279653
12274b4a5a14
1313733a3460
14921bb7cc0
15540bb5411
hex32511b170

13506818416 has 80 divisors (see below), whose sum is σ = 32596913664. Its totient is φ = 5278931712.

The previous prime is 13506818399. The next prime is 13506818419. The reversal of 13506818416 is 61481860531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13506818419) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64965 + ... + 176731.

Almost surely, 213506818416 is an apocalyptic number.

13506818416 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 13506818416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16298456832).

13506818416 is an abundant number, since it is smaller than the sum of its proper divisors (19090095248).

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

13506818416 is a wasteful number, since it uses less digits than its factorization.

13506818416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111878 (or 111872 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 13506818416 in words is "thirteen billion, five hundred six million, eight hundred eighteen thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 83 91 104 112 166 182 208 332 364 581 664 728 1079 1162 1328 1456 2158 2324 4316 4648 7553 8632 9296 15106 17264 30212 60424 111767 120848 223534 447068 782369 894136 1452971 1564738 1788272 2905942 3129476 5811884 6258952 9276661 10170797 11623768 12517904 18553322 20341594 23247536 37106644 40683188 64936627 74213288 81366376 120596593 129873254 148426576 162732752 241193186 259746508 482386372 519493016 844176151 964772744 1038986032 1688352302 1929545488 3376704604 6753409208 13506818416