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5661605105598 = 23132983149202387
BaseRepresentation
bin101001001100011000111…
…1101100000111110111110
3202001020120222211210121010
41102120301331200332332
51220224431401334343
620012523330020050
71123015565241051
oct122306175407676
922036528753533
105661605105598
111893089536772
12775310117626
13320b6bb81580
14158047742a98
159c410b9dd33
hex52631f60fbe

5661605105598 has 128 divisors (see below), whose sum is σ = 12852447552000. Its totient is φ = 1650537165312.

The previous prime is 5661605105593. The next prime is 5661605105711. The reversal of 5661605105598 is 8955015061665.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5661605105593) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27872961 + ... + 28075347.

It is an arithmetic number, because the mean of its divisors is an integer number (100409746500).

Almost surely, 25661605105598 is an apocalyptic number.

5661605105598 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5661605105598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426223776000).

5661605105598 is an abundant number, since it is smaller than the sum of its proper divisors (7190842446402).

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

5661605105598 is a wasteful number, since it uses less digits than its factorization.

5661605105598 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202666.

The product of its (nonzero) digits is 9720000, while the sum is 57.

The spelling of 5661605105598 in words is "five trillion, six hundred sixty-one billion, six hundred five million, one hundred five thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 13 26 29 39 58 78 83 87 149 166 174 249 298 377 447 498 754 894 1079 1131 1937 2158 2262 2407 3237 3874 4321 4814 5811 6474 7221 8642 11622 12367 12963 14442 24734 25926 31291 37101 56173 62582 74202 93873 112346 160771 168519 187746 202387 321542 337038 358643 404774 482313 607161 717286 964626 1075929 1214322 2151858 2631031 4662359 5262062 5869223 7893093 9324718 11738446 13987077 15786186 16798121 17607669 27974154 30155663 33596242 35215338 50394363 60311326 76299899 90466989 100788726 152599798 180933978 218375573 228899697 392023619 436751146 457799394 487145509 655126719 784047238 874514227 974291018 1176070857 1310253438 1461436527 1749028454 2352141714 2502920029 2623542681 2922873054 5005840058 5247085362 6332891617 7508760087 11368684951 12665783234 15017520174 18998674851 22737369902 32537960377 34106054853 37997349702 65075920754 68212109706 72584680841 97613881131 145169361682 195227762262 217754042523 435508085046 943600850933 1887201701866 2830802552799 5661605105598