Search a number
-
+
193862328804 = 22346124012
BaseRepresentation
bin1011010010001100011…
…0000110000111100100
3200112101121011200110000
42310203012012013210
511134012224010204
6225020434301300
720002042414614
oct2644306060744
9615347150400
10193862328804
1175242259a71
12316a4127830
1315386880081
149550cb6a44
1550996e5039
hex2d231861e4

193862328804 has 135 divisors (see below), whose sum is σ = 516526813803. Its totient is φ = 63402912000.

The previous prime is 193862328787. The next prime is 193862328809. The reversal of 193862328804 is 408823268391.

The square root of 193862328804 is 440298.

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

193862328804 is a `hidden beast` number, since 1 + 9 + 3 + 8 + 623 + 2 + 8 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1281783204 + 192580545600 = 35802^2 + 438840^2 .

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

It is not an unprimeable number, because it can be changed into a prime (193862328809) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 483447004 + ... + 483447404.

Almost surely, 2193862328804 is an apocalyptic number.

193862328804 is the 440298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193862328804

193862328804 is an abundant number, since it is smaller than the sum of its proper divisors (322664484999).

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

193862328804 is an frugal number, since it uses more digits than its factorization.

193862328804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 940 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 193862328804 in words is "one hundred ninety-three billion, eight hundred sixty-two million, three hundred twenty-eight thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 61 81 108 122 162 183 244 324 366 401 549 732 802 1098 1203 1604 1647 2196 2406 3294 3609 3721 4812 4941 6588 7218 7442 9882 10827 11163 14436 14884 19764 21654 22326 24461 32481 33489 43308 44652 48922 64962 66978 73383 97844 100467 129924 133956 146766 160801 200934 220149 293532 301401 321602 401868 440298 482403 602802 643204 660447 880596 964806 1205604 1320894 1447209 1492121 1929612 1981341 2641788 2894418 2984242 3962682 4341627 4476363 5788836 5968484 7925364 8683254 8952726 9808861 13024881 13429089 17366508 17905452 19617722 26049762 26858178 29426583 39235444 40287267 52099524 53716356 58853166 80574534 88279749 117706332 120861801 161149068 176559498 241723602 264839247 353118996 483447204 529678494 598340521 794517741 1059356988 1196681042 1589035482 1795021563 2393362084 3178070964 3590043126 5385064689 7180086252 10770129378 16155194067 21540258756 32310388134 48465582201 64620776268 96931164402 193862328804