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27241476111981 = 361747106343997
BaseRepresentation
bin1100011000110101001101…
…00000011011111001101101
310120110021000022022222000000
412030122212200123321231
512032311020341040411
6133534321130454513
75511063113253315
oct614324640337155
9116407008288000
1027241476111981
11875305509937a
12307b6b7294439
131227b24a5b011
146a26ccbc8445
1532392edbc956
hex18c6a681be6d

27241476111981 has 112 divisors (see below), whose sum is σ = 44208773650944. Its totient is φ = 16712899195392.

The previous prime is 27241476111979. The next prime is 27241476112021. The reversal of 27241476111981 is 18911167414272.

27241476111981 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 1 + 4 + 7 + 611 + 19 + 8 + 1 = 666.

It is not a de Polignac number, because 27241476111981 - 21 = 27241476111979 is a prime.

It is a super-2 number, since 2×272414761119812 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27241476111281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 619144675 + ... + 619188671.

It is an arithmetic number, because the mean of its divisors is an integer number (394721193312).

Almost surely, 227241476111981 is an apocalyptic number.

It is an amenable number.

27241476111981 is a deficient number, since it is larger than the sum of its proper divisors (16967297538963).

27241476111981 is a wasteful number, since it uses less digits than its factorization.

27241476111981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45142 (or 45127 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 54.

The spelling of 27241476111981 in words is "twenty-seven trillion, two hundred forty-one billion, four hundred seventy-six million, one hundred eleven thousand, nine hundred eighty-one".

Divisors: 1 3 9 17 27 47 51 81 141 153 243 423 459 729 799 1063 1269 1377 2397 3189 3807 4131 7191 9567 11421 12393 18071 21573 28701 34263 43997 49961 54213 64719 86103 131991 149883 162639 194157 258309 395973 449649 487917 582471 747949 774927 849337 1187919 1348947 1463751 2067859 2243847 2548011 3563757 4046841 4391253 6203577 6731541 7644033 10691271 12140523 13173759 18610731 20194623 22932099 32073813 35153603 36421569 46768811 55832193 60583869 68796297 105460809 140306433 167496579 181751607 206388891 316382427 420919299 502489737 545254821 619166673 795069787 949147281 1262757897 1507469211 2198134117 2385209361 2847441843 3788273691 6594402351 7155628083 8542325529 11364821073 19783207053 21466884249 25626976587 34094463219 37368279989 59349621159 64400652747 112104839967 178048863477 193201958241 336314519901 534146590431 579605874723 1008943559703 1602439771293 3026830679109 9080492037327 27241476111981