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999971303761 = 1923313797131157
BaseRepresentation
bin11101000110100101110…
…11110011000101010001
310112121002201102111122101
432203102323303011101
5112340420123210021
62043214103240401
7132150135560353
oct16432273630521
93477081374571
10999971303761
113560a3805aa1
12141974449101
13733b235c111
14365826d70d3
151b028e98a91
hexe8d2ef3151

999971303761 has 128 divisors (see below), whose sum is σ = 1192976547840. Its totient is φ = 832641638400.

The previous prime is 999971303731. The next prime is 999971303777. The reversal of 999971303761 is 167303179999.

It is a happy number.

It is a 4-Lehmer number, since φ(999971303761) divides (999971303761-1)4.

It is a cyclic number.

It is not a de Polignac number, because 999971303761 - 27 = 999971303633 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 999971303693 and 999971303702.

It is not an unprimeable number, because it can be changed into a prime (999971303731) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6369243895 + ... + 6369244051.

It is an arithmetic number, because the mean of its divisors is an integer number (9320129280).

It is a Poulet number, since it divides 2999971303760-1.

Almost surely, 2999971303761 is an apocalyptic number.

It is an amenable number.

999971303761 is a deficient number, since it is larger than the sum of its proper divisors (193005244079).

999971303761 is a wasteful number, since it uses less digits than its factorization.

999971303761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495.

The product of its (nonzero) digits is 17360406, while the sum is 64.

The spelling of 999971303761 in words is "nine hundred ninety-nine billion, nine hundred seventy-one million, three hundred three thousand, seven hundred sixty-one".

Divisors: 1 19 23 31 37 97 131 157 437 589 703 713 851 1147 1843 2231 2489 2983 3007 3013 3589 3611 4061 4847 4867 5809 12707 13547 15229 16169 20567 21793 26381 42389 57133 57247 68191 68609 69161 77159 82547 92093 92473 93403 110371 111259 111481 111941 133607 150257 180079 241433 289351 292261 350267 390773 393917 470159 472099 473041 501239 563473 637577 760979 1314059 1568393 1774657 1994999 2113921 2118139 2126879 2538533 2558957 2854883 3421501 3455911 4141817 5552959 6655073 7484423 8933021 8969881 8987779 9060091 10705987 10813657 10858277 12113963 12959879 14458601 14574929 14664271 17467663 17502517 23590349 37904981 45884977 48620183 61844969 65662309 73814963 78694523 172141729 205459483 206307263 246237701 276923651 278621149 331885597 332547823 335223367 401756249 448216631 542578027 871814563 1175054411 1402484297 1422434287 1697744149 2288263853 6369243973 7633368731 10308982513 27026251453 32257138831 43477013207 52630068619 999971303761