Search a number
-
+
61957198836 = 223313217199679
BaseRepresentation
bin111001101100111011…
…111101001111110100
312220220220101210211000
4321230323331033310
52003342020330321
644243541443300
74322233333521
oct715473751764
9186826353730
1061957198836
1124304250565
1210011410530
135ac5099a00
142dda7aa148
1519294ad826
hexe6cefd3f4

61957198836 has 144 divisors (see below), whose sum is σ = 184168857600. Its totient is φ = 17942266368.

The previous prime is 61957198829. The next prime is 61957198861. The reversal of 61957198836 is 63889175916.

61957198836 is a `hidden beast` number, since 619 + 5 + 7 + 1 + 9 + 8 + 8 + 3 + 6 = 666.

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, 210445 + ... + 410123.

It is an arithmetic number, because the mean of its divisors is an integer number (1278950400).

Almost surely, 261957198836 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 61957198836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92084428800).

61957198836 is an abundant number, since it is smaller than the sum of its proper divisors (122211658764).

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

61957198836 is a wasteful number, since it uses less digits than its factorization.

61957198836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199735 (or 199714 counting only the distinct ones).

The product of its digits is 19595520, while the sum is 63.

The spelling of 61957198836 in words is "sixty-one billion, nine hundred fifty-seven million, one hundred ninety-eight thousand, eight hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 169 204 221 234 306 338 351 442 459 468 507 612 663 676 702 884 918 1014 1326 1404 1521 1836 1989 2028 2652 2873 3042 3978 4563 5746 5967 6084 7956 8619 9126 11492 11934 17238 18252 23868 25857 34476 51714 77571 103428 155142 199679 310284 399358 599037 798716 1198074 1797111 2396148 2595827 3394543 3594222 5191654 5391333 6789086 7188444 7787481 10183629 10383308 10782666 13578172 15574962 20367258 21565332 23362443 30550887 31149924 33745751 40734516 44129059 46724886 61101774 67491502 70087329 88258118 91652661 93449772 101237253 122203548 132387177 134983004 140174658 176516236 183305322 202474506 264774354 280349316 303711759 366610644 397161531 404949012 529548708 573677767 607423518 794323062 911135277 1147355534 1191484593 1214847036 1588646124 1721033301 1822270554 2294711068 2382969186 3442066602 3644541108 4765938372 5163099903 6884133204 10326199806 15489299709 20652399612 30978599418 61957198836