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63130780080 = 2433529227213
BaseRepresentation
bin111010110010111000…
…110100000110110000
320000221200200220122000
4322302320310012300
52013242434430310
645000223414000
74363303530264
oct726270640660
9200850626560
1063130780080
1124856752515
121029a454300
135c51271294
1430ac5c00a4
15199752b4c0
hexeb2e341b0

63130780080 has 80 divisors (see below), whose sum is σ = 217450472160. Its totient is φ = 16834874112.

The previous prime is 63130780073. The next prime is 63130780133. The reversal of 63130780080 is 8008703136.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 14611447 + ... + 14615766.

It is an arithmetic number, because the mean of its divisors is an integer number (2718130902).

Almost surely, 263130780080 is an apocalyptic number.

63130780080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

63130780080 is an abundant number, since it is smaller than the sum of its proper divisors (154319692080).

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

63130780080 is a wasteful number, since it uses less digits than its factorization.

63130780080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29227235 (or 29227223 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 63130780080 in words is "sixty-three billion, one hundred thirty million, seven hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 29227213 58454426 87681639 116908852 146136065 175363278 233817704 263044917 292272130 350726556 438408195 467635408 526089834 584544260 701453112 789134751 876816390 1052179668 1169088520 1315224585 1402906224 1578269502 1753632780 2104359336 2338177040 2630449170 3156539004 3507265560 3945673755 4208718672 5260898340 6313078008 7014531120 7891347510 10521796680 12626156016 15782695020 21043593360 31565390040 63130780080