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13678450080 = 253537770183
BaseRepresentation
bin11001011110100110…
…01001010110100000
31022022021102021000020
430233103021112200
5211003140400310
610141144353440
7662651623131
oct145723112640
938267367006
1013678450080
11588a145aa9
122798a75880
13139cb07359
1493a8d3c88
15550cb9170
hex32f4c95a0

13678450080 has 96 divisors (see below), whose sum is σ = 44251691904. Its totient is φ = 3548998656.

The previous prime is 13678450073. The next prime is 13678450109. The reversal of 13678450080 is 8005487631.

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

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, 367332 + ... + 402851.

It is an arithmetic number, because the mean of its divisors is an integer number (460955124).

Almost surely, 213678450080 is an apocalyptic number.

13678450080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13678450080 is an abundant number, since it is smaller than the sum of its proper divisors (30573241824).

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

13678450080 is a wasteful number, since it uses less digits than its factorization.

13678450080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770238 (or 770230 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 13678450080 in words is "thirteen billion, six hundred seventy-eight million, four hundred fifty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 37 40 48 60 74 80 96 111 120 148 160 185 222 240 296 370 444 480 555 592 740 888 1110 1184 1480 1776 2220 2960 3552 4440 5920 8880 17760 770183 1540366 2310549 3080732 3850915 4621098 6161464 7701830 9242196 11552745 12322928 15403660 18484392 23105490 24645856 28496771 30807320 36968784 46210980 56993542 61614640 73937568 85490313 92421960 113987084 123229280 142483855 170980626 184843920 227974168 284967710 341961252 369687840 427451565 455948336 569935420 683922504 854903130 911896672 1139870840 1367845008 1709806260 2279741680 2735690016 3419612520 4559483360 6839225040 13678450080