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40829072087793 = 31121012301748383
BaseRepresentation
bin10010100100010010000100…
…10101101001101011110001
312100120012222020022211102110
421102021002111221223301
520322420414423302133
6222500341120235533
711412542316364143
oct1122110225515361
9170505866284373
1040829072087793
111201156a866700
1246b4b4576bba9
1319a221b5bbc42
14a121cd944c93
154ac0d0445c63
hex252242569af1

40829072087793 has 48 divisors (see below), whose sum is σ = 60433974816768. Its totient is φ = 24498322464000.

The previous prime is 40829072087773. The next prime is 40829072087801. The reversal of 40829072087793 is 39778027092804.

It is not a de Polignac number, because 40829072087793 - 212 = 40829072083697 is a prime.

It is a super-2 number, since 2×408290720877932 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40829072087773) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843848080 + ... + 843896462.

It is an arithmetic number, because the mean of its divisors is an integer number (1259041142016).

Almost surely, 240829072087793 is an apocalyptic number.

It is an amenable number.

40829072087793 is a deficient number, since it is larger than the sum of its proper divisors (19604902728975).

40829072087793 is a wasteful number, since it uses less digits than its factorization.

40829072087793 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71526 (or 71515 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 66.

The spelling of 40829072087793 in words is "forty trillion, eight hundred twenty-nine billion, seventy-two million, eighty-seven thousand, seven hundred ninety-three".

Divisors: 1 3 11 33 101 121 303 363 1111 3333 12221 23017 36663 48383 69051 145149 253187 532213 759561 1596639 2324717 2785057 4886683 5854343 6974151 8355171 14660049 17563029 25571887 53753513 76715661 161260539 281290757 591288643 843872271 1113631511 1773865929 3340894533 12249946621 36749839863 112476782611 134749412831 337430347833 404248238493 1237244608721 3711733826163 13609690695931 40829072087793