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194997876218896 = 2419243242732
BaseRepresentation
bin101100010101100101111011…
…001001001101110000010000
3221120102121121021020200011211
4230111211323021031300100
5201024321122303001041
61530420442044545504
756034063103600612
oct5425457311156020
9846377537220154
10194997876218896
11571501535a56a3
1219a53a8a252294
1384a62b420160a
143621d3a1a0db2
1517825201a9481
hexb1597b24dc10

194997876218896 has 135 divisors (see below), whose sum is σ = 408323822079069. Its totient is φ = 90198221815296.

The previous prime is 194997876218869. The next prime is 194997876218909. The reversal of 194997876218896 is 698812678799491.

The square root of 194997876218896 is 13964164.

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., 52871803690000 + 142126072528896 = 7271300^2 + 11921664^2 .

It is a Duffinian number.

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, 45634885816 + ... + 45634890088.

Almost surely, 2194997876218896 is an apocalyptic number.

194997876218896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

194997876218896 is the 13964164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194997876218896

194997876218896 is an abundant number, since it is smaller than the sum of its proper divisors (213325945860173).

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

194997876218896 is an frugal number, since it uses more digits than its factorization.

194997876218896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8678 (or 4337 counting only the distinct ones).

The product of its digits is 47405481984, while the sum is 94.

The spelling of 194997876218896 in words is "one hundred ninety-four trillion, nine hundred ninety-seven billion, eight hundred seventy-six million, two hundred eighteen thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 38 43 76 86 152 172 304 344 361 688 722 817 1444 1634 1849 2888 3268 3698 4273 5776 6536 7396 8546 13072 14792 15523 17092 29584 31046 34184 35131 62092 68368 70262 81187 124184 140524 162374 183739 248368 281048 324748 367478 562096 649496 667489 734956 1298992 1334978 1469912 1542553 2669956 2939824 3085106 3491041 5339912 6170212 6982082 7900777 10679824 12340424 13964164 15801554 18258529 24680848 27928328 31603108 36517058 55856656 63206216 66329779 73034116 126412432 132659558 146068232 150114763 265319116 292136464 300229526 346912051 530638232 600459052 693824102 785116747 1061276464 1200918104 1387648204 1570233494 2401836208 2775296408 2852180497 3140466988 5550592816 5704360994 6280933976 6591328969 11408721988 12561867952 13182657938 14917218193 22817443976 26365315876 29834436386 33760020121 45634887952 52730631752 59668872772 67520040242 105461263504 119337745544 135040080484 238675491088 270080160968 283427145667 540160321936 566854291334 641440382299 1133708582668 1282880764598 2267417165336 2565761529196 4534834330672 5131523058392 10263046116784 12187367263681 24374734527362 48749469054724 97498938109448 194997876218896