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3680471081079 = 3213217597733121
BaseRepresentation
bin110101100011101101001…
…010111110000001110111
3111000211221100122210200200
4311203231022332001313
5440300101044043304
611454441324211543
7526622335003662
oct65435512760167
914024840583620
103680471081079
111199973a80561
124b5372399bb3
132090b4090400
14ca1c87006d9
1565b0e0d4e39
hex358ed2be077

3680471081079 has 144 divisors (see below), whose sum is σ = 6208576788960. Its totient is φ = 2092163973120.

The previous prime is 3680471081069. The next prime is 3680471081081. The reversal of 3680471081079 is 9701801740863.

3680471081079 is a `hidden beast` number, since 3 + 68 + 0 + 471 + 0 + 8 + 107 + 9 = 666.

It is not a de Polignac number, because 3680471081079 - 215 = 3680471048311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3680471081069) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1179258639 + ... + 1179261759.

It is an arithmetic number, because the mean of its divisors is an integer number (43115116590).

Almost surely, 23680471081079 is an apocalyptic number.

3680471081079 is a gapful number since it is divisible by the number (39) formed by its first and last digit.

3680471081079 is a deficient number, since it is larger than the sum of its proper divisors (2528105707881).

3680471081079 is a wasteful number, since it uses less digits than its factorization.

3680471081079 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3986 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 3680471081079 in words is "three trillion, six hundred eighty billion, four hundred seventy-one million, eighty-one thousand, seventy-nine".

Divisors: 1 3 9 13 17 39 51 59 117 153 169 177 221 507 531 663 767 773 1003 1521 1989 2301 2319 2873 3009 3121 6903 6957 8619 9027 9363 9971 10049 13039 13141 25857 28089 29913 30147 39117 39423 40573 45607 53057 89739 90441 117351 118269 121719 130637 136821 159171 169507 170833 184139 365157 391911 410463 477513 508521 512499 527449 552417 592891 689741 775319 1175733 1525563 1537497 1582347 1657251 1778673 2069223 2220829 2325957 2393807 2412533 3130363 4747041 5336019 6207669 6662487 6977871 7181421 7237599 7707583 8966633 9391089 10079147 19987461 21544263 21712797 23122749 26899899 28173267 30237441 31119491 31362929 40694719 41013061 69368247 80699697 90712323 93358473 94088787 122084157 123039183 131028911 142339447 280075419 282266361 366252471 369117549 393086733 407718077 427018341 529031347 533169793 1179260199 1223154231 1281055023 1587094041 1599509379 1850412811 2419770599 3669462693 4761282123 4798528137 5551238433 6931207309 7259311797 16653715299 20793621927 21777935391 24055366543 31457017787 62380865781 72166099629 94371053361 216498298887 283113160083 408941231231 1226823693693 3680471081079