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3138289680 = 243537353411
BaseRepresentation
bin1011101100001110…
…1000000000010000
322002201020122010010
42323003220000100
522411400232210
61235224234520
7140525010411
oct27303500020
98081218103
103138289680
111370534539
1273700ba40
133b0243256
1421ab23808
151357ad920
hexbb0e8010

3138289680 has 80 divisors (see below), whose sum is σ = 9991664064. Its totient is φ = 814256640.

The previous prime is 3138289669. The next prime is 3138289697. The reversal of 3138289680 is 869828313.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167826 + ... + 185585.

Almost surely, 23138289680 is an apocalyptic number.

3138289680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3138289680 is an abundant number, since it is smaller than the sum of its proper divisors (6853374384).

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

3138289680 is a wasteful number, since it uses less digits than its factorization.

3138289680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353464 (or 353458 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 3138289680 is about 56020.4398411865. The cubic root of 3138289680 is about 1464.0784320010.

The spelling of 3138289680 in words is "three billion, one hundred thirty-eight million, two hundred eighty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2960 4440 8880 353411 706822 1060233 1413644 1767055 2120466 2827288 3534110 4240932 5301165 5654576 7068220 8481864 10602330 13076207 14136440 16963728 21204660 26152414 28272880 39228621 42409320 52304828 65381035 78457242 84818640 104609656 130762070 156914484 196143105 209219312 261524140 313828968 392286210 523048280 627657936 784572420 1046096560 1569144840 3138289680