Search a number
-
+
61201887714 = 233111752111633
BaseRepresentation
bin111000111111111010…
…101011000111100010
312211222021011000202000
4320333322223013202
52000320140401324
644041000504430
74264432314342
oct707772530742
9184867130660
1061201887714
1123a569630a0
12ba4047b116
135a04762956
142d68354d22
1518d30129c9
hexe3feab1e2

61201887714 has 128 divisors (see below), whose sum is σ = 157410812160. Its totient is φ = 17420083200.

The previous prime is 61201887661. The next prime is 61201887787. The reversal of 61201887714 is 41778810216.

61201887714 is a `hidden beast` number, since 612 + 0 + 18 + 8 + 7 + 7 + 14 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 61201887714.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5255242 + ... + 5266874.

It is an arithmetic number, because the mean of its divisors is an integer number (1229771970).

Almost surely, 261201887714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61201887714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78705406080).

61201887714 is an abundant number, since it is smaller than the sum of its proper divisors (96208924446).

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

61201887714 is a wasteful number, since it uses less digits than its factorization.

61201887714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12193 (or 12187 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 61201887714 in words is "sixty-one billion, two hundred one million, eight hundred eighty-seven thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 521 561 594 918 1042 1122 1563 1683 3126 3366 4689 5049 5731 8857 9378 10098 11462 11633 14067 17193 17714 23266 26571 28134 34386 34899 51579 53142 69798 79713 97427 103158 104697 127963 154737 159426 194854 197761 209394 239139 255926 292281 309474 314091 383889 395522 478278 584562 593283 628182 767778 876843 1151667 1186566 1753686 1779849 2175371 2303334 2630529 3455001 3559698 4350742 5261058 5339547 6060793 6526113 6910002 10679094 12121586 13052226 18182379 19578339 36364758 39156678 54547137 58735017 66668723 103033481 109094274 117470034 133337446 163641411 200006169 206066962 309100443 327282822 400012338 600018507 618200886 927301329 1133368291 1200037014 1800055521 1854602658 2266736582 2781903987 3400104873 3600111042 5563807974 6800209746 10200314619 20400629238 30600943857 61201887714