Search a number
-
+
61182082880 = 2652339720939
BaseRepresentation
bin111000111110101111…
…000111111101000000
312211220212212211121122
4320332233013331000
52000300103123010
644035012211412
74264102060322
oct707657077500
9184825784548
1061182082880
1123a46766466
12ba35909b68
135a0061a309
142d6587b612
1518d13ee855
hexe3ebc7f40

61182082880 has 112 divisors (see below), whose sum is σ = 152414386560. Its totient is φ = 23348717568.

The previous prime is 61182082873. The next prime is 61182082883. The reversal of 61182082880 is 8828028116.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61182082883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2911451 + ... + 2932389.

Almost surely, 261182082880 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 61182082880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76207193280).

61182082880 is an abundant number, since it is smaller than the sum of its proper divisors (91232303680).

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

61182082880 is a wasteful number, since it uses less digits than its factorization.

61182082880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21376 (or 21366 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 44.

The spelling of 61182082880 in words is "sixty-one billion, one hundred eighty-two million, eighty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 160 184 230 320 368 397 460 736 794 920 1472 1588 1840 1985 3176 3680 3970 6352 7360 7940 9131 12704 15880 18262 20939 25408 31760 36524 41878 45655 63520 73048 83756 91310 104695 127040 146096 167512 182620 209390 292192 335024 365240 418780 481597 584384 670048 730480 837560 963194 1340096 1460960 1675120 1926388 2407985 2921920 3350240 3852776 4815970 6700480 7705552 8312783 9631940 15411104 16625566 19263880 30822208 33251132 38527760 41563915 66502264 77055520 83127830 133004528 154111040 166255660 191194009 266009056 332511320 382388018 532018112 665022640 764776036 955970045 1330045280 1529552072 1911940090 2660090560 3059104144 3823880180 6118208288 7647760360 12236416576 15295520720 30591041440 61182082880