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19195135148 = 22722931412657
BaseRepresentation
bin10001111000000111…
…101000010010101100
31211112202000220020102
4101320013220102230
5303302423311043
612452414210232
71246446646100
oct217007502254
954482026212
1019195135148
118160176162
1238784b3978
131a6ba10647
14d01451900
157752826b8
hex4781e84ac

19195135148 has 144 divisors (see below), whose sum is σ = 42761053440. Its totient is φ = 7496294400.

The previous prime is 19195135123. The next prime is 19195135159. The reversal of 19195135148 is 84153159191.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7223036 + ... + 7225692.

It is an arithmetic number, because the mean of its divisors is an integer number (296951760).

Almost surely, 219195135148 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 19195135148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21380526720).

19195135148 is an abundant number, since it is smaller than the sum of its proper divisors (23565918292).

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

19195135148 is a wasteful number, since it uses less digits than its factorization.

19195135148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2767 counting only the distinct ones).

The product of its digits is 194400, while the sum is 47.

The spelling of 19195135148 in words is "nineteen billion, one hundred ninety-five million, one hundred thirty-five thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 28 29 31 41 49 58 62 82 98 116 124 164 196 203 217 287 406 434 574 812 868 899 1148 1189 1271 1421 1519 1798 2009 2378 2542 2657 2842 3038 3596 4018 4756 5084 5314 5684 6076 6293 8036 8323 8897 10628 12586 16646 17794 18599 25172 33292 35588 36859 37198 44051 58261 62279 73718 74396 77053 82367 88102 108937 116522 124558 130193 147436 154106 164734 176204 217874 233044 249116 258013 260386 308212 329468 435748 516026 520772 539371 576569 762559 1032052 1078742 1153138 1525118 1806091 2157484 2306276 2388643 3050236 3159173 3377047 3612182 3775597 4035983 4777286 5337913 6318346 6754094 7224364 7551194 8071966 9554572 10675826 12636692 13508188 15102388 16143932 16720501 21351652 22114211 23639329 33441002 44228422 47278658 66882004 88456844 94557316 97934363 117043507 154799477 165475303 195868726 234087014 309598954 330950606 391737452 468174028 619197908 661901212 685540541 1371081082 2742162164 4798783787 9597567574 19195135148