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31948455484913 = 11315914159112153
BaseRepresentation
bin1110100001110100101000…
…10101110001110111110001
311012010020112210102221102212
413100322110111301313301
513141420414101004123
6151540530130221505
76505125336632132
oct720722425616761
9135106483387385
1031948455484913
11a1a829a254840
1236bb9a9124895
1314a9959c56946
147c6456339c89
153a60bca22878
hex1d0e94571df1

31948455484913 has 32 divisors (see below), whose sum is σ = 36589838745600. Its totient is φ = 27628555478400.

The previous prime is 31948455484831. The next prime is 31948455484949.

31948455484913 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 31948455484913 - 212 = 31948455480817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (31948455414913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284808845 + ... + 284920997.

It is an arithmetic number, because the mean of its divisors is an integer number (1143432460800).

Almost surely, 231948455484913 is an apocalyptic number.

It is an amenable number.

31948455484913 is a deficient number, since it is larger than the sum of its proper divisors (4641383260687).

31948455484913 is a wasteful number, since it uses less digits than its factorization.

31948455484913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126413.

The product of its digits is 298598400, while the sum is 68.

The spelling of 31948455484913 in words is "thirty-one trillion, nine hundred forty-eight billion, four hundred fifty-five million, four hundred eighty-four thousand, nine hundred thirteen".

Divisors: 1 11 31 59 341 649 1829 14159 20119 112153 155749 438929 835381 1233683 3476743 4828219 6617027 9189191 25896811 38244173 72787297 205127837 284864921 1587974327 2256406207 17467717597 49227204137 93690485293 541499245507 1030595338223 2904405044083 31948455484913