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198268511960 = 235192953169733
BaseRepresentation
bin1011100010100110111…
…0010110011011011000
3200221202200011222102202
42320221232112123120
511222023214340320
6231025554145332
720216164354631
oct2705156263330
9627680158382
10198268511960
11770a3451652
1232513882248
131590969953c
14984c160888
155256450b75
hex2e29b966d8

198268511960 has 128 divisors (see below), whose sum is σ = 494944344000. Its totient is φ = 71173380096.

The previous prime is 198268511951. The next prime is 198268511971. The reversal of 198268511960 is 69115862891.

It is a junction number, because it is equal to n+sod(n) for n = 198268511896 and 198268511905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1083254 + ... + 1252986.

Almost surely, 2198268511960 is an apocalyptic number.

198268511960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198268511960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247472172000).

198268511960 is an abundant number, since it is smaller than the sum of its proper divisors (296675832040).

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

198268511960 is a wasteful number, since it uses less digits than its factorization.

198268511960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169845 (or 169841 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 56.

The spelling of 198268511960 in words is "one hundred ninety-eight billion, two hundred sixty-eight million, five hundred eleven thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 19 20 29 38 40 53 58 76 95 106 116 145 152 190 212 232 265 290 380 424 530 551 580 760 1007 1060 1102 1160 1537 2014 2120 2204 2755 3074 4028 4408 5035 5510 6148 7685 8056 10070 11020 12296 15370 20140 22040 29203 30740 40280 58406 61480 116812 146015 169733 233624 292030 339466 584060 678932 848665 1168120 1357864 1697330 3224927 3394660 4922257 6449854 6789320 8995849 9844514 12899708 16124635 17991698 19689028 24611285 25799416 32249270 35983396 39378056 44979245 49222570 64498540 71966792 89958490 93522883 98445140 128997080 170921131 179916980 187045766 196890280 260879621 341842262 359833960 374091532 467614415 521759242 683684524 748183064 854605655 935228830 1043518484 1304398105 1367369048 1709211310 1870457660 2087036968 2608796210 3418422620 3740915320 4956712799 5217592420 6836845240 9913425598 10435184840 19826851196 24783563995 39653702392 49567127990 99134255980 198268511960