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11882494505 = 571746343133
BaseRepresentation
bin10110001000100000…
…00111101000101001
31010200010000021010002
423010100013220221
5143313404311010
65243031032345
7600313352060
oct130420075051
933603007102
1011882494505
1150483a3aa2
12237750b6b5
131174a0214b
1480a1911d7
154982ae1a5
hex2c4407a29

11882494505 has 32 divisors (see below), whose sum is σ = 17292248064. Its totient is φ = 7651961856.

The previous prime is 11882494487. The next prime is 11882494511. The reversal of 11882494505 is 50549428811.

It is not a de Polignac number, because 11882494505 - 26 = 11882494441 is a prime.

It is a super-2 number, since 2×118824945052 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 11882494505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253919 + ... + 297051.

It is an arithmetic number, because the mean of its divisors is an integer number (540382752).

Almost surely, 211882494505 is an apocalyptic number.

It is an amenable number.

11882494505 is a deficient number, since it is larger than the sum of its proper divisors (5409753559).

11882494505 is a wasteful number, since it uses less digits than its factorization.

11882494505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43625.

The product of its (nonzero) digits is 460800, while the sum is 47.

The spelling of 11882494505 in words is "eleven billion, eight hundred eighty-two million, four hundred ninety-four thousand, five hundred five".

Divisors: 1 5 7 17 35 85 119 463 595 2315 3241 7871 16205 39355 43133 55097 215665 275485 301931 733261 1509655 3666305 5132827 19970579 25664135 99852895 139794053 339499843 698970265 1697499215 2376498901 11882494505