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81168442192 = 24231671817297
BaseRepresentation
bin100101110011000000…
…1000010001101010000
321202111202202002100201
41023212001002031100
52312213110122232
6101142133224544
75602300242415
oct1134601021520
9252452662321
1081168442192
1131472518a92
1213893192154
13786722a226
143d0001210c
1521a0d73be7
hex12e6042350

81168442192 has 80 divisors (see below), whose sum is σ = 166018874112. Its totient is φ = 38368788480.

The previous prime is 81168442177. The next prime is 81168442211. The reversal of 81168442192 is 29124486118.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11119888 + ... + 11127184.

Almost surely, 281168442192 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 81168442192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83009437056).

81168442192 is an abundant number, since it is smaller than the sum of its proper divisors (84850431920).

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

81168442192 is a wasteful number, since it uses less digits than its factorization.

81168442192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7676 (or 7670 counting only the distinct ones).

The product of its digits is 221184, while the sum is 46.

The spelling of 81168442192 in words is "eighty-one billion, one hundred sixty-eight million, four hundred forty-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 16 23 46 92 167 181 184 334 362 368 668 724 1336 1448 2672 2896 3841 4163 7297 7682 8326 14594 15364 16652 29188 30227 30728 33304 58376 60454 61456 66608 116752 120908 167831 241816 335662 483632 671324 695221 1218599 1320757 1342648 1390442 2437198 2641514 2685296 2780884 4874396 5283028 5561768 9748792 10566056 11123536 19497584 21132112 28027777 30377411 56055554 60754822 112111108 121509644 220566419 224222216 243019288 441132838 448444432 486038576 882265676 1764531352 3529062704 5073027637 10146055274 20292110548 40584221096 81168442192