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82811674472388 = 223172362172838917
BaseRepresentation
bin10010110101000100011000…
…011100001010111111000100
3101212012201101222102020222220
4102311010120130022333010
541323241302131104023
6452043054050252340
723304642330604161
oct2265043034127704
9355181358366886
1082811674472388
1124428263386604
12935555a2870b0
133729151c3c584
14166416c08b068
159891c5ac63e3
hex4b511870afc4

82811674472388 has 96 divisors (see below), whose sum is σ = 213523335131904. Its totient is φ = 24846556213248.

The previous prime is 82811674472381. The next prime is 82811674472431. The reversal of 82811674472388 is 88327447611828.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (82811674472381) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27750706 + ... + 30589622.

It is an arithmetic number, because the mean of its divisors is an integer number (2224201407624).

Almost surely, 282811674472388 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82811674472388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106761667565952).

82811674472388 is an abundant number, since it is smaller than the sum of its proper divisors (130711660659516).

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

82811674472388 is a wasteful number, since it uses less digits than its factorization.

82811674472388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845181 (or 2845179 counting only the distinct ones).

The product of its digits is 231211008, while the sum is 69.

The spelling of 82811674472388 in words is "eighty-two trillion, eight hundred eleven billion, six hundred seventy-four million, four hundred seventy-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 92 102 138 204 276 391 782 1173 1564 2346 4692 6217 12434 18651 24868 37302 74604 105689 142991 211378 285982 317067 422756 428973 571964 634134 857946 1268268 1715892 2430847 2838917 4861694 5677834 7292541 8516751 9723388 11355668 14585082 17033502 29170164 34067004 48261589 65295091 96523178 130590182 144784767 193046356 195885273 261180364 289569534 391770546 579139068 783541092 1110016547 2220033094 3330049641 4440066188 6660099282 13320198564 17649546989 35299093978 52948640967 70598187956 105897281934 211794563868 300042298813 405939580747 600084597626 811879161494 900126896439 1200169195252 1217818742241 1623758322988 1800253792878 2435637484482 3600507585756 4871274968964 6900972872699 13801945745398 20702918618097 27603891490796 41405837236194 82811674472388