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108059468176 = 241123122412
BaseRepresentation
bin110010010100011011…
…0001010000110010000
3101022220211221202011001
41210220312022012100
53232301210440201
6121350345231344
710543546216162
oct1445066120620
9338824852131
10108059468176
1141911830900
1218b38a92554
13a26147471a
1453315a8932
152c26a80301
hex1928d8a190

108059468176 has 135 divisors (see below), whose sum is σ = 238782468897. Its totient is φ = 47336256000.

The previous prime is 108059468129. The next prime is 108059468221. The reversal of 108059468176 is 671864950801.

The square root of 108059468176 is 328724.

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., 81268325776 + 26791142400 = 285076^2 + 163680^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 448379416 + ... + 448379656.

Almost surely, 2108059468176 is an apocalyptic number.

108059468176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

108059468176 is the 328724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108059468176

108059468176 is an abundant number, since it is smaller than the sum of its proper divisors (130723000721).

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

108059468176 is an equidigital number, since it uses as much as digits as its factorization.

108059468176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 574 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 55.

The spelling of 108059468176 in words is "one hundred eight billion, fifty-nine million, four hundred sixty-eight thousand, one hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 31 44 62 88 121 124 176 241 242 248 341 482 484 496 682 961 964 968 1364 1922 1928 1936 2651 2728 3751 3844 3856 5302 5456 7471 7502 7688 10571 10604 14942 15004 15376 21142 21208 29161 29884 30008 42284 42416 58081 58322 59768 60016 82181 84568 116162 116281 116644 119536 164362 169136 231601 232324 232562 233288 328724 463202 464648 465124 466576 638891 657448 903991 926404 929296 930248 1277782 1314896 1800511 1807982 1852808 1860496 2547611 2555564 3601022 3615964 3705616 5095222 5111128 7027801 7202044 7231928 10190444 10222256 14055602 14404088 14463856 19805621 20380888 28023721 28111204 28808176 39611242 40761776 55815841 56047442 56222408 79222484 111631682 112094884 112444816 158444968 217861831 223263364 224189768 316889936 435723662 446526728 448379536 613974251 871447324 893053456 1227948502 1742894648 2455897004 3485789296 4911794008 6753716761 9823588016 13507433522 27014867044 54029734088 108059468176