Search a number
-
+
198101547396 = 22347923132
BaseRepresentation
bin1011100001111111000…
…1011011100110000100
3200221100001000022010000
42320133301123212010
511221202444004041
6231001231401300
720212066240524
oct2703761334604
9627301008100
10198101547396
1177018182705
1232487983230
13158b0c0aa3c
149833cdb684
15524696ebb6
hex2e1fc5b984

198101547396 has 135 divisors (see below), whose sum is σ = 526196076021. Its totient is φ = 64989677376.

The previous prime is 198101547361. The next prime is 198101547409. The reversal of 198101547396 is 693745101891.

The square root of 198101547396 is 445086.

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

198101547396 is a `hidden beast` number, since 1 + 9 + 8 + 1 + 0 + 1 + 547 + 3 + 96 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1263802500 + 196837744896 = 35550^2 + 443664^2 .

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

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, 632912136 + ... + 632912448.

Almost surely, 2198101547396 is an apocalyptic number.

198101547396 is the 445086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198101547396

198101547396 is an abundant number, since it is smaller than the sum of its proper divisors (328094528625).

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

198101547396 is an frugal number, since it uses more digits than its factorization.

198101547396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 198101547396 in words is "one hundred ninety-eight billion, one hundred one million, five hundred forty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 313 316 324 474 626 711 939 948 1252 1422 1878 2133 2817 2844 3756 4266 5634 6241 6399 8451 8532 11268 12482 12798 16902 18723 24727 24964 25353 25596 33804 37446 49454 50706 56169 74181 74892 97969 98908 101412 112338 148362 168507 195938 222543 224676 293907 296724 337014 391876 445086 505521 587814 667629 674028 881721 890172 1011042 1175628 1335258 1763442 1953433 2002887 2022084 2645163 2670516 3526884 3906866 4005774 5290326 5860299 7739551 7813732 7935489 8011548 10580652 11720598 15479102 15870978 17580897 23218653 23441196 30958204 31741956 35161794 46437306 52742691 69655959 70323588 92874612 105485382 139311918 158228073 208967877 210970764 278623836 316456146 417935754 611424529 626903631 632912292 835871508 1222849058 1253807262 1834273587 2445698116 2507614524 3668547174 5502820761 7337094348 11005641522 16508462283 22011283044 33016924566 49525386849 66033849132 99050773698 198101547396