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13799505516 = 2231959217387
BaseRepresentation
bin11001101101000001…
…11011111001101100
31022121201012111211220
430312200323321230
5211230133134031
610201151143340
7665651601336
oct146640737154
938551174756
1013799505516
115941508815
122811514b50
1313bbc107a4
1494ca06456
1555b72c596
hex33683be6c

13799505516 has 72 divisors (see below), whose sum is σ = 34479708480. Its totient is φ = 4283632224.

The previous prime is 13799505469. The next prime is 13799505529. The reversal of 13799505516 is 61550599731.

It is a super-2 number, since 2×137995055162 (a number of 21 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 784975 + ... + 802361.

It is an arithmetic number, because the mean of its divisors is an integer number (478884840).

Almost surely, 213799505516 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 13799505516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17239854240).

13799505516 is an abundant number, since it is smaller than the sum of its proper divisors (20680202964).

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

13799505516 is a wasteful number, since it uses less digits than its factorization.

13799505516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17531 (or 17470 counting only the distinct ones).

The product of its (nonzero) digits is 1275750, while the sum is 51.

The spelling of 13799505516 in words is "thirteen billion, seven hundred ninety-nine million, five hundred five thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 1121 2242 3363 3481 4484 6726 6962 10443 13452 13924 17387 20886 34774 41772 52161 66139 69548 104322 132278 198417 208644 264556 330353 396834 660706 793668 991059 1025833 1321412 1982118 2051666 3077499 3964236 4103332 6154998 12309996 19490827 38981654 58472481 60524147 77963308 116944962 121048294 181572441 233889924 242096588 363144882 726289764 1149958793 2299917586 3449876379 4599835172 6899752758 13799505516