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198946329156 = 22327929412
BaseRepresentation
bin1011100101001000100…
…0000001001001000100
3201000111220121122211100
42321102020001021010
511224420230013111
6231221130140100
720242034616231
oct2712210011104
9630456548740
10198946329156
117741101a753
1232682881630
13159b6c3cac3
1498b41a2788
155295be0756
hex2e52201244

198946329156 has 81 divisors (see below), whose sum is σ = 509880260253. Its totient is φ = 65406425760.

The previous prime is 198946329149. The next prime is 198946329173. The reversal of 198946329156 is 651923649891.

The square root of 198946329156 is 446034.

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

198946329156 is a `hidden beast` number, since 1 + 9 + 89 + 463 + 2 + 91 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 123365322756 + 75581006400 = 351234^2 + 274920^2 .

It is a junction number, because it is equal to n+sod(n) for n = 198946329093 and 198946329102.

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, 211419646 + ... + 211420586.

Almost surely, 2198946329156 is an apocalyptic number.

198946329156 is the 446034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198946329156

198946329156 is an abundant number, since it is smaller than the sum of its proper divisors (310933931097).

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

198946329156 is an frugal number, since it uses more digits than its factorization.

198946329156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050 (or 1025 counting only the distinct ones).

The product of its digits is 25194240, while the sum is 63.

The spelling of 198946329156 in words is "one hundred ninety-eight billion, nine hundred forty-six million, three hundred twenty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 941 948 1422 1882 2823 2844 3764 5646 6241 8469 11292 12482 16938 18723 24964 33876 37446 56169 74339 74892 112338 148678 223017 224676 297356 446034 669051 885481 892068 1338102 1770962 2656443 2676204 3541924 5312886 5872781 7969329 10625772 11745562 15938658 17618343 23491124 31877316 35236686 52855029 69952999 70473372 105710058 139905998 209858997 211420116 279811996 419717994 629576991 839435988 1259153982 2518307964 5526286921 11052573842 16578860763 22105147684 33157721526 49736582289 66315443052 99473164578 198946329156