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197893301904 = 243813732
BaseRepresentation
bin1011100001001101011…
…1000010011010010000
3200220210112011100000000
42320103113002122100
511220241141130104
6230524432130000
720203660212024
oct2702327023220
9626715140000
10197893301904
1176a206787a1
123242a096900
1315879a2765c
1498143b0384
155233537639
hex2e135c2690

197893301904 has 135 divisors (see below), whose sum is σ = 575517356713. Its totient is φ = 65916389952.

The previous prime is 197893301839. The next prime is 197893301909. The reversal of 197893301904 is 409103398791.

It is a happy number.

The square root of 197893301904 is 444852.

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., 195593907600 + 2299394304 = 442260^2 + 47952^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (197893301909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 144131362 + ... + 144132734.

Almost surely, 2197893301904 is an apocalyptic number.

197893301904 is the 444852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 197893301904

197893301904 is an abundant number, since it is smaller than the sum of its proper divisors (377624054809).

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

197893301904 is an frugal number, since it uses more digits than its factorization.

197893301904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2778 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 54.

The spelling of 197893301904 in words is "one hundred ninety-seven billion, eight hundred ninety-three million, three hundred one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1373 1458 1944 2187 2746 2916 3888 4119 4374 5492 5832 6561 8238 8748 10984 11664 12357 13122 16476 17496 21968 24714 26244 32952 34992 37071 49428 52488 65904 74142 98856 104976 111213 148284 197712 222426 296568 333639 444852 593136 667278 889704 1000917 1334556 1779408 1885129 2001834 2669112 3002751 3770258 4003668 5338224 5655387 6005502 7540516 8007336 9008253 11310774 12011004 15081032 16014672 16966161 18016506 22621548 24022008 30162064 33932322 36033012 45243096 48044016 50898483 67864644 72066024 90486192 101796966 135729288 144132048 152695449 203593932 271458576 305390898 407187864 458086347 610781796 814375728 916172694 1221563592 1374259041 1832345388 2443127184 2748518082 3664690776 4122777123 5497036164 7329381552 8245554246 10994072328 12368331369 16491108492 21988144656 24736662738 32982216984 49473325476 65964433968 98946650952 197893301904