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5165396853444 = 2234171088386171
BaseRepresentation
bin100101100101010100110…
…1001010000001011000100
3200021210210101110211120000
41023022221221100023010
51134112213043302234
614552541153041300
71042121230551012
oct113125151201304
920253711424500
105165396853444
1117116a5953583
126b5108b56230
132b613046ba99
1413c013d438b2
158e56cda6899
hex4b2a9a502c4

5165396853444 has 120 divisors (see below), whose sum is σ = 14299163147808. Its totient is φ = 1620348952320.

The previous prime is 5165396853439. The next prime is 5165396853451. The reversal of 5165396853444 is 4443586935615.

5165396853444 is a `hidden beast` number, since 5 + 1 + 6 + 5 + 3 + 96 + 8 + 534 + 4 + 4 = 666.

It is a super-2 number, since 2×51653968534442 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59900479 + ... + 59986649.

Almost surely, 25165396853444 is an apocalyptic number.

5165396853444 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5165396853444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7149581573904).

5165396853444 is an abundant number, since it is smaller than the sum of its proper divisors (9133766294364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5165396853444 is a wasteful number, since it uses less digits than its factorization.

5165396853444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97087 (or 97076 counting only the distinct ones).

The product of its digits is 186624000, while the sum is 63.

The spelling of 5165396853444 in words is "five trillion, one hundred sixty-five billion, three hundred ninety-six million, eight hundred fifty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2754 5508 10883 21766 32649 43532 65298 86171 97947 130596 172342 185011 195894 258513 293841 344684 370022 391788 517026 555033 587682 740044 775539 881523 1034052 1110066 1175364 1464907 1551078 1665099 1763046 2220132 2326617 2929814 3102156 3330198 3526092 4394721 4653234 4995297 5859628 6660396 6979851 8789442 9306468 9990594 13184163 13959702 14985891 17578884 19981188 26368326 27919404 29971782 39552489 52736652 59943564 79104978 118657467 158209956 237314934 474629868 937798993 1875597986 2813396979 3751195972 5626793958 8440190937 11253587916 15942582881 16880381874 25320572811 31885165762 33760763748 47827748643 50641145622 63770331524 75961718433 95655497286 101282291244 143483245929 151923436866 191310994572 286966491858 303846873732 430449737787 573932983716 860899475574 1291349213361 1721798951148 2582698426722 5165396853444