Search a number
-
+
61848598914 = 232232311911097
BaseRepresentation
bin111001100110011101…
…101011100110000010
312220122100001100201200
4321212131223212002
52003131220131124
644225102042030
74316444262624
oct714635534602
9186570040650
1061848598914
1124258a15863
12bba0b79316
135aa87349bb
142dca1bac14
15191ebaabc9
hexe6676b982

61848598914 has 144 divisors (see below), whose sum is σ = 145493397504. Its totient is φ = 18966499200.

The previous prime is 61848598901. The next prime is 61848598979. The reversal of 61848598914 is 41989584816.

61848598914 is a `hidden beast` number, since 61 + 8 + 485 + 9 + 8 + 91 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56379214 + ... + 56380310.

It is an arithmetic number, because the mean of its divisors is an integer number (1010370816).

Almost surely, 261848598914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61848598914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72746698752).

61848598914 is an abundant number, since it is smaller than the sum of its proper divisors (83644798590).

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

61848598914 is a wasteful number, since it uses less digits than its factorization.

61848598914 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1347 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 61848598914 in words is "sixty-one billion, eight hundred forty-eight million, five hundred ninety-eight thousand, nine hundred fourteen".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 138 186 191 207 279 382 414 529 558 573 713 1058 1097 1146 1426 1587 1719 2139 2194 3174 3291 3438 4278 4393 4761 5921 6417 6582 8786 9522 9873 11842 12834 13179 16399 17763 19746 25231 26358 32798 34007 35526 39537 49197 50462 53289 68014 75693 79074 98394 101039 102021 106578 136183 147591 151386 202078 204042 209527 227079 272366 295182 303117 306063 408549 419054 454158 580313 606234 612126 628581 782161 817098 909351 1160626 1225647 1257162 1564322 1740939 1818702 1885743 2346483 2451294 3132209 3481878 3771486 4692966 4819121 5222817 6264418 6495337 7039449 9396627 9638242 10445634 12990674 14078898 14457363 17989703 18793254 19486011 28189881 28914726 35979406 38972022 43372089 53969109 56379762 58458033 86744178 107938218 110839783 116916066 149392751 161907327 221679566 298785502 323814654 332519349 448178253 665038698 896356506 997558047 1344534759 1995116094 2689069518 3436033273 6872066546 10308099819 20616199638 30924299457 61848598914