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81617022597796 = 22724343492
BaseRepresentation
bin10010100011101011110001…
…101000111011101010100100
3101200222111210122011001212021
4102203223301220323222210
541144203130241112141
6445330201554432524
723122430622324400
oct2243536150735244
9350874718131767
1081617022597796
1124007648561274
1291a1b13892744
1336705b566131a
1416223dbd64100
159680a56aa6d1
hex4a3af1a3baa4

81617022597796 has 135 divisors (see below), whose sum is σ = 170593667888049. Its totient is φ = 34067370530592.

The previous prime is 81617022597673. The next prime is 81617022597937. The reversal of 81617022597796 is 69779522071618.

The square root of 81617022597796 is 9034214.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59906268727396 + 21710753870400 = 7739914^2 + 4659480^2 .

It is a super-2 number, since 2×816170225977962 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 233859663430 + ... + 233859663778.

Almost surely, 281617022597796 is an apocalyptic number.

81617022597796 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

81617022597796 is the 9034214-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81617022597796

81617022597796 is an abundant number, since it is smaller than the sum of its proper divisors (88976645290253).

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

81617022597796 is an frugal number, since it uses more digits than its factorization.

81617022597796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 888 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 70.

The spelling of 81617022597796 in words is "eighty-one trillion, six hundred seventeen billion, twenty-two million, five hundred ninety-seven thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 43 49 86 98 172 196 301 349 602 698 1204 1396 1849 2107 2443 3698 4214 4886 7396 8428 9772 12943 15007 17101 25886 30014 34202 51772 60028 68404 79507 90601 105049 121801 159014 181202 210098 243602 318028 362404 420196 487204 556549 645301 735343 852607 1113098 1290602 1470686 1705214 2226196 2581204 2941372 3410428 3418801 3895843 4517107 5237443 5968249 6837602 7791686 9034214 10474886 11936498 13675204 15583372 18068428 20949772 23872996 23931607 27747943 31619749 36662101 47863214 55495886 63239498 73324202 95726428 110991772 126478996 146648404 167521249 194235601 225210049 256634707 335042498 388471202 450420098 513269414 670084996 776942404 900840196 1026538828 1193161549 1359649207 1576470343 2386323098 2719298414 3152940686 4772646196 5438596828 6305881372 8352130843 9684032107 11035292401 16704261686 19368064214 22070584802 33408523372 38736128428 44141169604 58464915901 67788224749 116929831802 135576449498 233859663604 271152898996 416413380601 474517573243 832826761202 949035146486 1665653522404 1898070292972 2914893664207 5829787328414 11659574656828 20404255649449 40808511298898 81617022597796