Search a number
-
+
16879880123316 = 2233756939240569
BaseRepresentation
bin1111010110100010011101…
…0000100011001110110100
32012202200220212110020211000
43311220213100203032310
54203024443302421231
655522302044443300
73361350110453430
oct365504720431664
965680825406730
1016879880123316
1154187982aa101
121a87525849530
139559c57b6a32
14424dc21359c0
151e413edac6e6
hexf5a274233b4

16879880123316 has 96 divisors (see below), whose sum is σ = 50102359776000. Its totient is φ = 4814346806784.

The previous prime is 16879880123257. The next prime is 16879880123383. The reversal of 16879880123316 is 61332108897861.

16879880123316 is a `hidden beast` number, since 168 + 79 + 8 + 80 + 12 + 3 + 316 = 666.

16879880123316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19190121 + ... + 20050448.

It is an arithmetic number, because the mean of its divisors is an integer number (521899581000).

Almost surely, 216879880123316 is an apocalyptic number.

It is an amenable number.

16879880123316 is an abundant number, since it is smaller than the sum of its proper divisors (33222479652684).

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

16879880123316 is a wasteful number, since it uses less digits than its factorization.

16879880123316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39241158 (or 39241150 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

It can be divided in two parts, 16879880 and 123316, that added together give a triangular number (17003196 = T5831).

The spelling of 16879880123316 in words is "sixteen trillion, eight hundred seventy-nine billion, eight hundred eighty million, one hundred twenty-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 569 756 1138 1707 2276 3414 3983 5121 6828 7966 10242 11949 15363 15932 20484 23898 30726 35847 47796 61452 71694 107541 143388 215082 430164 39240569 78481138 117721707 156962276 235443414 274683983 353165121 470886828 549367966 706330242 824051949 1059495363 1098735932 1412660484 1648103898 2118990726 2472155847 3296207796 4237981452 4944311694 7416467541 9888623388 14832935082 22327883761 29665870164 44655767522 66983651283 89311535044 133967302566 156295186327 200950953849 267934605132 312590372654 401901907698 468885558981 602852861547 625180745308 803803815396 937771117962 1205705723094 1406656676943 1875542235924 2411411446188 2813313353886 4219970030829 5626626707772 8439940061658 16879880123316