Search a number
-
+
61516223160 = 23357487150377
BaseRepresentation
bin111001010010101001…
…110001001010111000
312212210011121220220120
4321102221301022320
52001441123120120
644132110053240
74305300161250
oct712251611270
9185704556816
1061516223160
11240a8338a57
12bb097aa220
135a5490c762
142d97dba960
151900904140
hexe52a712b8

61516223160 has 128 divisors (see below), whose sum is σ = 211347256320. Its totient is φ = 14031885312.

The previous prime is 61516223159. The next prime is 61516223173. The reversal of 61516223160 is 6132261516.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333892 + ... + 484268.

It is an arithmetic number, because the mean of its divisors is an integer number (1651150440).

Almost surely, 261516223160 is an apocalyptic number.

61516223160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61516223160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105673628160).

61516223160 is an abundant number, since it is smaller than the sum of its proper divisors (149831033160).

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

61516223160 is a wasteful number, since it uses less digits than its factorization.

61516223160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150885 (or 150881 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 61516223160 its reverse (6132261516), we get a palindrome (67648484676).

The spelling of 61516223160 in words is "sixty-one billion, five hundred sixteen million, two hundred twenty-three thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 487 840 974 1461 1948 2435 2922 3409 3896 4870 5844 6818 7305 9740 10227 11688 13636 14610 17045 19480 20454 27272 29220 34090 40908 51135 58440 68180 81816 102270 136360 150377 204540 300754 409080 451131 601508 751885 902262 1052639 1203016 1503770 1804524 2105278 2255655 3007540 3157917 3609048 4210556 4511310 5263195 6015080 6315834 8421112 9022620 10526390 12631668 15789585 18045240 21052780 25263336 31579170 42105560 63158340 73233599 126316680 146467198 219700797 292934396 366167995 439401594 512635193 585868792 732335990 878803188 1025270386 1098503985 1464671980 1537905579 1757606376 2050540772 2197007970 2563175965 2929343960 3075811158 4101081544 4394015940 5126351930 6151622316 7689527895 8788031880 10252703860 12303244632 15379055790 20505407720 30758111580 61516223160