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83438026430277 = 31747612239372731
BaseRepresentation
bin10010111110001011101101…
…111011010001011101000101
3101221102121010112010110212110
4102332023231323101131011
541414022034231232102
6453242522234411233
723401125035444601
oct2276135573213505
9357377115113773
1083438026430277
11246499607710a2
129436a22290b19
13377323123086c
1416865ca082501
1599a63416b86c
hex4be2eded1745

83438026430277 has 128 divisors (see below), whose sum is σ = 122997695643648. Its totient is φ = 50101477171200.

The previous prime is 83438026430273. The next prime is 83438026430321. The reversal of 83438026430277 is 77203462083438.

It is a happy number.

It is not a de Polignac number, because 83438026430277 - 22 = 83438026430273 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83438026430273) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30552187002 + ... + 30552189732.

It is an arithmetic number, because the mean of its divisors is an integer number (960919497216).

Almost surely, 283438026430277 is an apocalyptic number.

It is an amenable number.

83438026430277 is a deficient number, since it is larger than the sum of its proper divisors (39559669213371).

83438026430277 is a wasteful number, since it uses less digits than its factorization.

83438026430277 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019.

The product of its (nonzero) digits is 32514048, while the sum is 57.

The spelling of 83438026430277 in words is "eighty-three trillion, four hundred thirty-eight billion, twenty-six million, four hundred thirty thousand, two hundred seventy-seven".

Divisors: 1 3 17 47 51 61 141 183 223 669 799 937 1037 2397 2731 2811 2867 3111 3791 8193 8601 10481 11373 13603 15929 31443 40809 44039 46427 47787 48739 57157 128357 132117 139281 146217 166591 171471 178177 208951 231251 385071 499773 534531 609013 626853 639341 693753 748663 971669 1827039 1918023 2182069 2245989 2558947 2686379 2832047 2915007 3552167 6546207 7676841 7829777 8059137 8496141 9820697 10353221 10656501 10868797 12746011 23489331 28623611 29462091 31059663 32606391 37149793 38238033 43502099 45668443 85870833 111449379 120270509 130506297 133106209 137005329 156095767 166951849 216682187 360811527 399318627 468287301 486601387 500855547 570645181 599062517 631546481 650046561 1459804161 1711935543 1746040271 1797187551 1894639443 2044598653 2653628039 5238120813 6133795959 7336501049 7960884117 9700968077 10184062789 22009503147 26820323507 29102904231 29682684607 30552188367 34809356041 80460970521 89048053821 104428068123 124720517833 374161553499 455945499619 591759052697 1367836498857 1636039733927 1775277158091 4908119201781 27812675476759 83438026430277