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188949935248893 = 33713618269152461
BaseRepresentation
bin101010111101100101010101…
…110001010101010111111101
3220210000102210212022111211000
4222331211111301111113331
5144231223431410431033
61505510222452320513
754541116352552530
oct5275452561252775
9823012725274730
10188949935248893
1155229243595985
121923791b013139
138157b96876760
143493323304a17
1516ca04c4eea13
hexabd955c555fd

188949935248893 has 128 divisors (see below), whose sum is σ = 350216679142400. Its totient is φ = 98019534412800.

The previous prime is 188949935248891. The next prime is 188949935248901. The reversal of 188949935248893 is 398842539949881.

188949935248893 is a `hidden beast` number, since 1 + 8 + 8 + 9 + 4 + 9 + 9 + 35 + 2 + 488 + 93 = 666.

It is not a de Polignac number, because 188949935248893 - 21 = 188949935248891 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188949935248891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1239256683 + ... + 1239409143.

It is an arithmetic number, because the mean of its divisors is an integer number (2736067805800).

Almost surely, 2188949935248893 is an apocalyptic number.

188949935248893 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

188949935248893 is a deficient number, since it is larger than the sum of its proper divisors (161266743893507).

188949935248893 is a wasteful number, since it uses less digits than its factorization.

188949935248893 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160820 (or 160814 counting only the distinct ones).

The product of its digits is 38698352640, while the sum is 90.

The spelling of 188949935248893 in words is "one hundred eighty-eight trillion, nine hundred forty-nine billion, nine hundred thirty-five million, two hundred forty-eight thousand, eight hundred ninety-three".

Divisors: 1 3 7 9 13 21 27 39 61 63 91 117 183 189 273 351 427 549 793 819 1281 1647 2379 2457 3843 5551 7137 8269 11529 16653 21411 24807 49959 57883 74421 107497 149877 152461 173649 223263 322491 457383 504409 520947 752479 967473 1067227 1372149 1513227 1562841 1981993 2257437 2902419 3201681 3530863 4116447 4539681 5945979 6557317 6772311 9300121 9605043 10592589 13619043 13873951 17837937 19671951 20316933 27900363 28815129 31777767 41621853 45901219 53513811 59015853 65100847 83701089 95333301 120901573 124865559 137703657 177047559 195302541 251103267 362704719 374596677 413110971 585907623 846311011 1088114157 1239332913 1260700009 1757722869 2538933033 3264342471 3782100027 7616799099 8824900063 11346300081 16389100117 22850397297 26474700189 34038900243 49167300351 76902700549 79424100567 114723700819 147501901053 230708101647 238272301701 344171102457 442505703159 538318903843 692124304941 999735107137 1032513307371 1614956711529 2076372914823 2999205321411 3097539922113 4844870134587 6998145749959 8997615964233 14534610403761 20994437249877 26992847892699 62983311749631 188949935248893