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196791606544 = 241321924492
BaseRepresentation
bin1011011101000110110…
…0011001110100010000
3200210221202010102002011
42313101230121310100
511211012122402134
6230223235032304
720134452025141
oct2672154316420
9623852112064
10196791606544
1176505805765
123218113b694
1315732702100
14974bd4dac8
1551bb969264
hex2dd1b19d10

196791606544 has 135 divisors (see below), whose sum is σ = 436715658063. Its totient is φ = 85854892032.

The previous prime is 196791606523. The next prime is 196791606619. The reversal of 196791606544 is 445606197691.

The square root of 196791606544 is 443612.

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

It can be written as a sum of positive squares in 4 ways, for example, as 14879120400 + 181912486144 = 121980^2 + 426512^2 .

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, 438288432 + ... + 438288880.

Almost surely, 2196791606544 is an apocalyptic number.

196791606544 is the 443612-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196791606544

196791606544 is an abundant number, since it is smaller than the sum of its proper divisors (239924051519).

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

196791606544 is an equidigital number, since it uses as much as digits as its factorization.

196791606544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 58.

The spelling of 196791606544 in words is "one hundred ninety-six billion, seven hundred ninety-one million, six hundred six thousand, five hundred forty-four".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 361 449 494 676 722 898 988 1352 1444 1796 1976 2704 2888 3211 3592 3952 4693 5776 5837 6422 7184 8531 9386 11674 12844 17062 18772 23348 25688 34124 37544 46696 51376 61009 68248 75088 75881 93392 110903 122018 136496 151762 162089 201601 221806 244036 303524 324178 403202 443612 488072 607048 648356 806404 887224 976144 1214096 1296712 1441739 1612808 1774448 2107157 2593424 2620813 2883478 3225616 3830419 4214314 5241626 5766956 7660838 8428628 10483252 11533912 15321676 16857256 20966504 23067824 27393041 30643352 33714512 34070569 41933008 49795447 54786082 61286704 68141138 72777961 99590894 109572164 136282276 145555922 199181788 219144328 272564552 291111844 398363576 438288656 545129104 582223688 647340811 796727152 946113493 1164447376 1294681622 1892226986 2589363244 3784453972 5178726488 7568907944 10357452976 12299475409 15137815888 24598950818 49197901636 98395803272 196791606544