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137760403482 = 234131719319937
BaseRepresentation
bin1000000001001100101…
…0001111000000011010
3111011120202111120220000
42000103022033000122
54224113130402412
6143141455313430
712644555052252
oct2002312170032
9434522446800
10137760403482
115347317a129
122284781b876
13ccb58a8660
14694c004962
1538b42d24dc
hex201328f01a

137760403482 has 160 divisors (see below), whose sum is σ = 353826606672. Its totient is φ = 39685718016.

The previous prime is 137760403447. The next prime is 137760403553. The reversal of 137760403482 is 284304067731.

137760403482 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 604 + 0 + 34 + 8 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23604942321 + 114155461161 = 153639^2 + 337869^2 .

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 79 ways as a sum of consecutive naturals, for example, 6899818 + ... + 6919754.

Almost surely, 2137760403482 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137760403482, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176913303336).

137760403482 is an abundant number, since it is smaller than the sum of its proper divisors (216066203190).

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

137760403482 is a wasteful number, since it uses less digits than its factorization.

137760403482 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20174 (or 20165 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 137760403482 in words is "one hundred thirty-seven billion, seven hundred sixty million, four hundred three thousand, four hundred eighty-two".

Divisors: 1 2 3 6 9 13 17 18 26 27 34 39 51 54 78 81 102 117 153 162 193 221 234 306 351 386 442 459 579 663 702 918 1053 1158 1326 1377 1737 1989 2106 2509 2754 3281 3474 3978 5018 5211 5967 6562 7527 9843 10422 11934 15054 15633 17901 19686 19937 22581 29529 31266 35802 39874 42653 45162 59058 59811 67743 85306 88587 119622 127959 135486 177174 179433 203229 255918 259181 265761 338929 358866 383877 406458 518362 531522 538299 677858 767754 777543 1016787 1076598 1151631 1555086 1614897 2033574 2303262 2332629 3050361 3229794 3454893 3847841 4406077 4665258 6100722 6909786 6997887 7695682 8812154 9151083 11543523 13218231 13995774 18302166 20993661 23087046 26436462 27453249 34630569 39654693 41987322 50021933 54906498 65413297 69261138 79309386 100043866 103891707 118964079 130826594 150065799 196239891 207783414 237928158 300131598 311675121 356892237 392479782 450197397 588719673 623350242 713784474 850372861 900394794 1177439346 1350592191 1700745722 1766159019 2551118583 2701184382 3532318038 4051776573 5102237166 5298477057 7653355749 8103553146 10596954114 15306711498 22960067247 45920134494 68880201741 137760403482