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86328798840 = 23345191139501
BaseRepresentation
bin101000001100110011…
…0001110111001111000
322020211101212100220000
41100121212032321320
52403300133030330
6103354153433000
76144210453114
oct1203146167170
9266741770800
1086328798840
11336803a1349
121489340b760
1381aa3729bb
14426d4d6744
1523a3e03560
hex141998ee78

86328798840 has 160 divisors (see below), whose sum is σ = 291681941760. Its totient is φ = 22900320000.

The previous prime is 86328798817. The next prime is 86328798847. The reversal of 86328798840 is 4889782368.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86328798847) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 549090 + ... + 688590.

It is an arithmetic number, because the mean of its divisors is an integer number (1823012136).

Almost surely, 286328798840 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 86328798840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145840970880).

86328798840 is an abundant number, since it is smaller than the sum of its proper divisors (205353142920).

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

86328798840 is a wasteful number, since it uses less digits than its factorization.

86328798840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139715 (or 139702 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 86328798840 in words is "eighty-six billion, three hundred twenty-eight million, seven hundred ninety-eight thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 191 216 270 324 360 382 405 540 573 648 764 810 955 1080 1146 1528 1620 1719 1910 2292 2865 3240 3438 3820 4584 5157 5730 6876 7640 8595 10314 11460 13752 15471 17190 20628 22920 25785 30942 34380 41256 51570 61884 68760 77355 103140 123768 139501 154710 206280 279002 309420 418503 558004 618840 697505 837006 1116008 1255509 1395010 1674012 2092515 2511018 2790020 3348024 3766527 4185030 5022036 5580040 6277545 7533054 8370060 10044072 11299581 12555090 15066108 16740120 18832635 22599162 25110180 26644691 30132216 37665270 45198324 50220360 53289382 56497905 75330540 79934073 90396648 106578764 112995810 133223455 150661080 159868146 213157528 225991620 239802219 266446910 319736292 399670365 451983240 479604438 532893820 639472584 719406657 799340730 959208876 1065787640 1199011095 1438813314 1598681460 1918417752 2158219971 2398022190 2877626628 3197362920 3597033285 4316439942 4796044380 5755253256 7194066570 8632879884 9592088760 10791099855 14388133140 17265759768 21582199710 28776266280 43164399420 86328798840