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198975432128 = 26111731353117
BaseRepresentation
bin1011100101001111011…
…1000010010111000000
3201000120221101020121012
42321103313002113000
511230000202312003
6231224050020052
720242540160444
oct2712367022700
9630527336535
10198975432128
11774264981a0
1232690577628
13159bcc8c6b5
1498b7dba824
15529853d8d8
hex2e53dc25c0

198975432128 has 112 divisors (see below), whose sum is σ = 457539754464. Its totient is φ = 84849623040.

The previous prime is 198975432127. The next prime is 198975432209. The reversal of 198975432128 is 821234579891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198975432127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3719426 + ... + 3772542.

Almost surely, 2198975432128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198975432128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228769877232).

198975432128 is an abundant number, since it is smaller than the sum of its proper divisors (258564322336).

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

198975432128 is a wasteful number, since it uses less digits than its factorization.

198975432128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53470 (or 53460 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 59.

The spelling of 198975432128 in words is "one hundred ninety-eight billion, nine hundred seventy-five million, four hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 64 68 88 136 176 187 272 313 352 374 544 626 704 748 1088 1252 1496 2504 2992 3443 5008 5321 5984 6886 10016 10642 11968 13772 20032 21284 27544 42568 53117 55088 58531 85136 106234 110176 117062 170272 212468 220352 234124 340544 424936 468248 584287 849872 902989 936496 1168574 1699744 1805978 1872992 2337148 3399488 3611956 3745984 4674296 7223912 9348592 9932879 14447824 16625621 18697184 19865758 28895648 33251242 37394368 39731516 57791296 66502484 79463032 133004968 158926064 182881831 266009936 282635557 317852128 365763662 532019872 565271114 635704256 731527324 1064039744 1130542228 1463054648 2261084456 2926109296 3108991127 4522168912 5852218592 6217982254 9044337824 11704437184 12435964508 18088675648 24871929016 49743858032 99487716064 198975432128