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61041384720 = 24325531599617
BaseRepresentation
bin111000110110010110…
…011001110100010000
312211120002010122000200
4320312112121310100
52000003043302340
644013024415200
74260443131521
oct706626316420
9184502118020
1061041384720
11239842a7898
12b9b6777500
1359aa427274
142d50cd4848
1518c3dab330
hexe36599d10

61041384720 has 120 divisors (see below), whose sum is σ = 208865321496. Its totient is φ = 15970566144.

The previous prime is 61041384707. The next prime is 61041384757. The reversal of 61041384720 is 2748314016.

61041384720 is a `hidden beast` number, since 610 + 4 + 1 + 38 + 4 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21461078016 + 39580306704 = 146496^2 + 198948^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-4 number, since 4×610413847204 (a number of 44 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 761649 + ... + 837968.

Almost surely, 261041384720 is an apocalyptic number.

61041384720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61041384720 is an abundant number, since it is smaller than the sum of its proper divisors (147823936776).

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

61041384720 is a wasteful number, since it uses less digits than its factorization.

61041384720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1599689 (or 1599680 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 61041384720 its reverse (2748314016), we get a palindrome (63789698736).

The spelling of 61041384720 in words is "sixty-one billion, forty-one million, three hundred eighty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 53 60 72 80 90 106 120 144 159 180 212 240 265 318 360 424 477 530 636 720 795 848 954 1060 1272 1590 1908 2120 2385 2544 3180 3816 4240 4770 6360 7632 9540 12720 19080 38160 1599617 3199234 4798851 6398468 7998085 9597702 12796936 14396553 15996170 19195404 23994255 25593872 28793106 31992340 38390808 47988510 57586212 63984680 71982765 76781616 84779701 95977020 115172424 127969360 143965530 169559402 191954040 230344848 254339103 287931060 339118804 383908080 423898505 508678206 575862120 678237608 763017309 847797010 1017356412 1151724240 1271695515 1356475216 1526034618 1695594020 2034712824 2543391030 3052069236 3391188040 3815086545 4069425648 5086782060 6104138472 6782376080 7630173090 10173564120 12208276944 15260346180 20347128240 30520692360 61041384720