Search a number
-
+
159038390196 = 2235785927211
BaseRepresentation
bin1001010000011101101…
…1010011111110110100
3120012111122210022100000
42110013123103332310
510101202311441241
6201021120351300
714330056004040
oct2240733237664
9505448708300
10159038390196
11614a2030514
12269a5775530
1311cc6c8163a
1479a9d1b020
15420c340eb6
hex25076d3fb4

159038390196 has 144 divisors (see below), whose sum is σ = 477032890880. Its totient is φ = 45384973920.

The previous prime is 159038390167. The next prime is 159038390219. The reversal of 159038390196 is 691093830951.

159038390196 is a `hidden beast` number, since 1 + 5 + 90 + 383 + 90 + 1 + 96 = 666.

It is a super-3 number, since 3×1590383901963 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

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, 5831031 + ... + 5858241.

Almost surely, 2159038390196 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 159038390196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238516445440).

159038390196 is an abundant number, since it is smaller than the sum of its proper divisors (317994500684).

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

159038390196 is a wasteful number, since it uses less digits than its factorization.

159038390196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28096 (or 28082 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 54.

The spelling of 159038390196 in words is "one hundred fifty-nine billion, thirty-eight million, three hundred ninety thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 859 972 1134 1701 1718 2268 2577 3402 3436 5154 6013 6804 7731 10308 12026 15462 18039 23193 24052 27211 30924 36078 46386 54117 54422 69579 72156 81633 92772 108234 108844 139158 162351 163266 190477 208737 216468 244899 278316 324702 326532 380954 417474 487053 489798 571431 649404 734697 761908 834948 974106 979596 1142862 1461159 1469394 1714293 1948212 2204091 2285724 2922318 2938788 3428586 4408182 5142879 5844636 6612273 6857172 8816364 10285758 13224546 15428637 20571516 23374249 26449092 30857274 46285911 46748498 61714548 70122747 92571822 93496996 140245494 163619743 185143644 210368241 280490988 327239486 420736482 490859229 631104723 654478972 841472964 981718458 1262209446 1472577687 1893314169 1963436916 2524418892 2945155374 3786628338 4417733061 5679942507 5890310748 7573256676 8835466122 11359885014 13253199183 17670932244 22719770028 26506398366 39759597549 53012796732 79519195098 159038390196