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83445755754438 = 232711211348436181
BaseRepresentation
bin10010111110010010111010…
…101000010011011111000110
3101221110100002012012211022200
4102332102322220103133012
541414133401433120223
6453250241224535330
723401520421560430
oct2276227250233706
9357410065184280
1083445755754438
1124652167773800
12943841a921546
133773b9367235c
141686b2080b650
1599a9379eba43
hex4be4baa137c6

83445755754438 has 144 divisors (see below), whose sum is σ = 229129490143008. Its totient is φ = 21482414553600.

The previous prime is 83445755754421. The next prime is 83445755754443.

83445755754438 is a `hidden beast` number, since 8 + 3 + 4 + 4 + 5 + 7 + 5 + 575 + 4 + 43 + 8 = 666.

83445755754438 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22495293 + ... + 25940888.

It is an arithmetic number, because the mean of its divisors is an integer number (1591177014882).

Almost surely, 283445755754438 is an apocalyptic number.

83445755754438 is an abundant number, since it is smaller than the sum of its proper divisors (145683734388570).

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

83445755754438 is a wasteful number, since it uses less digits than its factorization.

83445755754438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48436331 (or 48436317 counting only the distinct ones).

The product of its digits is 4515840000, while the sum is 72.

The spelling of 83445755754438 in words is "eighty-three trillion, four hundred forty-five billion, seven hundred fifty-five million, seven hundred fifty-four thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 113 121 126 154 198 226 231 242 339 363 462 678 693 726 791 847 1017 1089 1243 1386 1582 1694 2034 2178 2373 2486 2541 3729 4746 5082 7119 7458 7623 8701 11187 13673 14238 15246 17402 22374 26103 27346 41019 52206 78309 82038 95711 123057 156618 191422 246114 287133 574266 861399 1722798 48436181 96872362 145308543 290617086 339053267 435925629 532797991 678106534 871851258 1017159801 1065595982 1598393973 2034319602 3051479403 3196787946 3729585937 4795181919 5473288453 5860777901 6102958806 7459171874 9590363838 10946576906 11188757811 11721555802 16419865359 17582333703 22377515622 32839730718 33566273433 35164667406 38313019171 41025445307 49259596077 52747001109 60206172983 67132546866 76626038342 82050890614 98519192154 105494002218 114939057513 120412345966 123076335921 180618518949 229878115026 246152671842 344817172539 361237037898 369229007763 421443210881 541855556847 662267902813 689634345078 738458015526 842886421762 1083711113694 1264329632643 1324535805626 1986803708439 2528659265286 3792988897929 3973607416878 4635875319691 5960411125317 7585977795858 9271750639382 11920822250634 13907625959073 27815251918146 41722877877219 83445755754438