Search a number
-
+
168141779808 = 25383179117889
BaseRepresentation
bin1001110010011000000…
…1111111001101100000
3121002000002102102020020
42130212001333031200
510223323243423213
6205124313513440
715101465355402
oct2344601771540
9532002372206
10168141779808
1165343718902
1228706412880
1312b17c91202
1481d0d66b72
154591641923
hex272607f360

168141779808 has 96 divisors (see below), whose sum is σ = 449189193600. Its totient is φ = 55062183936.

The previous prime is 168141779789. The next prime is 168141779843. The reversal of 168141779808 is 808977141861.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1367328 + ... + 1485216.

It is an arithmetic number, because the mean of its divisors is an integer number (4679054100).

Almost surely, 2168141779808 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 168141779808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224594596800).

168141779808 is an abundant number, since it is smaller than the sum of its proper divisors (281047413792).

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

168141779808 is a wasteful number, since it uses less digits than its factorization.

168141779808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118164 (or 118156 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 60.

The spelling of 168141779808 in words is "one hundred sixty-eight billion, one hundred forty-one million, seven hundred seventy-nine thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 179 249 332 358 498 537 664 716 996 1074 1328 1432 1992 2148 2656 2864 3984 4296 5728 7968 8592 14857 17184 29714 44571 59428 89142 117889 118856 178284 235778 237712 353667 356568 471556 475424 707334 713136 943112 1414668 1426272 1886224 2829336 3772448 5658672 9784787 11317344 19569574 21102131 29354361 39139148 42204262 58708722 63306393 78278296 84408524 117417444 126612786 156556592 168817048 234834888 253225572 313113184 337634096 469669776 506451144 675268192 939339552 1012902288 1751476873 2025804576 3502953746 5254430619 7005907492 10508861238 14011814984 21017722476 28023629968 42035444952 56047259936 84070889904 168141779808