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80267230626 = 231143791272819
BaseRepresentation
bin100101011000001001…
…1001011110110100010
321200011221221210111120
41022300103023312202
52303341402340001
6100512501153110
75541045126432
oct1126023136642
9250157853446
1080267230626
113104a839440
12136813bb796
1377525cb24b
143c5645c2c2
15214bba8236
hex12b04cbda2

80267230626 has 128 divisors (see below), whose sum is σ = 182963404800. Its totient is φ = 23264055360.

The previous prime is 80267230621. The next prime is 80267230627. The reversal of 80267230626 is 62603276208.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (80267230621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28472245 + ... + 28475063.

It is an arithmetic number, because the mean of its divisors is an integer number (1429401600).

Almost surely, 280267230626 is an apocalyptic number.

80267230626 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 80267230626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91481702400).

80267230626 is an abundant number, since it is smaller than the sum of its proper divisors (102696174174).

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

80267230626 is a wasteful number, since it uses less digits than its factorization.

80267230626 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3084.

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 80267230626 in words is "eighty billion, two hundred sixty-seven million, two hundred thirty thousand, six hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 43 66 79 86 127 129 158 237 254 258 381 473 474 762 869 946 1397 1419 1738 2607 2794 2819 2838 3397 4191 5214 5461 5638 6794 8382 8457 10033 10191 10922 16383 16914 20066 20382 30099 31009 32766 37367 60071 60198 62018 74734 93027 110363 112101 120142 121217 180213 186054 220726 222701 224202 242434 331089 358013 360426 363651 431419 445402 662178 668103 716026 727302 862838 1074039 1294257 1333387 1336206 2148078 2449711 2588514 2666774 3938143 4000161 4745609 4899422 7349133 7876286 8000322 9491218 9576143 11814429 14236827 14698266 15394559 19152286 23628858 28283027 28473654 28728429 30789118 46183677 56566054 57456858 84849081 92367354 105337573 169340149 169698162 210675146 311113297 316012719 338680298 508020447 622226594 632025438 933339891 1016040894 1216170161 1866679782 2432340322 3648510483 7297020966 13377871771 26755743542 40133615313 80267230626