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3786379997686 = 211131717311513911
BaseRepresentation
bin110111000110010101110…
…101011011000111110110
3111101222022022222012200121
4313012111311123013312
5444014001234411221
612015234452002154
7540362011643416
oct67062565330766
914358268865617
103786379997686
11122a881886110
125119ab00035a
13216091b277c0
14d1394420646
156875be64a41
hex37195d5b1f6

3786379997686 has 128 divisors (see below), whose sum is σ = 7113832169472. Its totient is φ = 1484924160000.

The previous prime is 3786379997683. The next prime is 3786379997717. The reversal of 3786379997686 is 6867999736873.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3786379997597 and 3786379997606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3786379997683) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 968134071 + ... + 968137981.

It is an arithmetic number, because the mean of its divisors is an integer number (55576813824).

Almost surely, 23786379997686 is an apocalyptic number.

3786379997686 is a deficient number, since it is larger than the sum of its proper divisors (3327452171786).

3786379997686 is a wasteful number, since it uses less digits than its factorization.

3786379997686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5278.

The product of its digits is 31109847552, while the sum is 88.

The spelling of 3786379997686 in words is "three trillion, seven hundred eighty-six billion, three hundred seventy-nine million, nine hundred ninety-seven thousand, six hundred eighty-six".

Divisors: 1 2 11 13 17 22 26 34 143 173 187 221 286 346 374 442 1151 1903 2249 2302 2431 2941 3806 3911 4498 4862 5882 7822 12661 14963 19567 24739 25322 29926 32351 38233 39134 43021 49478 50843 64702 66487 76466 86042 101686 132974 164593 199123 215237 254371 329186 398246 420563 430474 508742 559273 676603 731357 841126 864331 1118546 1353206 1462714 1728662 2190353 2588599 2798081 3385091 4380706 4501561 5177198 5596162 6770182 7442633 8795839 9003122 9507641 11502251 14885266 17591678 19015282 23004502 28474589 37236001 44006183 49517171 56949178 58520293 74472002 76526537 88012366 96754229 99034342 117040586 126524761 149529263 153053074 193508458 253049522 299058526 484068013 643723223 778770053 841791907 968136026 994844981 1287446446 1557540106 1644821893 1683583814 1989689962 3289643786 8566470583 10124010689 10943294791 13239090901 17132941166 20248021378 21886589582 26478181802 111364117579 145629999911 172108181713 222728235158 291259999822 344216363426 1893189998843 3786379997686