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83124180426742 = 27132971293757063
BaseRepresentation
bin10010111001100111011011…
…001111110001111111110110
3101220022121001001111120222121
4102321213123033301333312
541343401310142123432
6452442415445350154
723336344452440050
oct2271473317617766
9356277031446877
1083124180426742
1124538848898474
1293a6033a0835a
13374c765991070
1416753360b28d0
159923b6148197
hex4b99db3f1ff6

83124180426742 has 128 divisors (see below), whose sum is σ = 161537349980160. Its totient is φ = 31196284116480.

The previous prime is 83124180426731. The next prime is 83124180426743. The reversal of 83124180426742 is 24762408142138.

It is a self number, because there is not a number n which added to its sum of digits gives 83124180426742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83124180426743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 109419703 + ... + 110176765.

It is an arithmetic number, because the mean of its divisors is an integer number (1262010546720).

Almost surely, 283124180426742 is an apocalyptic number.

83124180426742 is a deficient number, since it is larger than the sum of its proper divisors (78413169553418).

83124180426742 is a wasteful number, since it uses less digits than its factorization.

83124180426742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757478.

The product of its (nonzero) digits is 4128768, while the sum is 52.

The spelling of 83124180426742 in words is "eighty-three trillion, one hundred twenty-four billion, one hundred eighty million, four hundred twenty-six thousand, seven hundred forty-two".

Divisors: 1 2 7 13 14 26 29 58 71 91 142 182 203 293 377 406 497 586 754 923 994 1846 2051 2059 2639 3809 4102 4118 5278 6461 7618 8497 12922 14413 16994 20803 26663 26767 28826 41606 53326 53534 59479 110461 118958 145621 187369 220922 270439 291242 374738 540878 603287 757063 773227 1206574 1514126 1546454 1893073 3786146 4223009 5299441 7842731 8446018 9841819 10598882 15685462 19683638 21954827 43909654 53751473 54899117 68892733 107502946 109798234 137785466 153683789 221819459 285412751 307367578 376260311 443638918 570825502 698769149 752520622 1397538298 1552736213 1558792717 1997889257 2883652967 3105472426 3117585434 3995778514 4891384043 5767305934 6432764311 9782768086 10911549019 12865528622 15749181589 20185570769 20264305321 21823098038 31498363178 40371141538 40528610642 45029350177 83625936043 90058700354 110244271123 141850137247 167251872086 204739360657 220488542246 283700274494 409478721314 456726266081 585381552301 913452532162 1170763104602 1433175524599 2866351049198 3197083862567 5937441459053 6394167725134 11874882918106 41562090213371 83124180426742