Search a number
-
+
61373661496 = 23723712593361
BaseRepresentation
bin111001001010001001…
…111100000100111000
312212102020101001001221
4321022021330010320
52001143124131441
644110014321424
74301616341500
oct711211740470
9185366331057
1061373661496
11240349172a4
12ba89ab9274
135a31216444
142d830aaa00
1518e31438d1
hexe4a27c138

61373661496 has 96 divisors (see below), whose sum is σ = 137631538800. Its totient is φ = 25564170240.

The previous prime is 61373661467. The next prime is 61373661551. The reversal of 61373661496 is 69416637316.

It is a happy number.

It is a super-3 number, since 3×613736614963 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18258856 + ... + 18262216.

Almost surely, 261373661496 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 61373661496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68815769400).

61373661496 is an abundant number, since it is smaller than the sum of its proper divisors (76257877304).

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

61373661496 is a wasteful number, since it uses less digits than its factorization.

61373661496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4677 (or 4666 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 52.

The spelling of 61373661496 in words is "sixty-one billion, three hundred seventy-three million, six hundred sixty-one thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 37 49 56 74 98 148 196 259 296 392 518 1036 1259 1813 2072 2518 3361 3626 5036 6722 7252 8813 10072 13444 14504 17626 23527 26888 35252 46583 47054 61691 70504 93166 94108 123382 124357 164689 186332 188216 246764 248714 326081 329378 372664 493528 497428 652162 658756 870499 994856 1304324 1317512 1740998 2282567 2608648 3481996 4231499 4565134 6093493 6963992 8462998 9130268 12186986 16925996 18260536 24373972 29620493 33851992 48747944 59240986 118481972 156565463 207343451 236963944 313130926 414686902 626261852 829373804 1095958241 1252523704 1658747608 2191916482 4383832964 7671707687 8767665928 15343415374 30686830748 61373661496