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61478209760 = 25511172054753
BaseRepresentation
bin111001010000011000…
…110000100011100000
312212200112002122022212
4321100120300203200
52001401410203020
644124231221252
74304326106102
oct712030604340
9185615078285
1061478209760
1124088934a20
12bab8b17828
135a49a90216
142d92d23572
1518ec3e5cc5
hexe506308e0

61478209760 has 96 divisors (see below), whose sum is σ = 167766554592. Its totient is φ = 21040660480.

The previous prime is 61478209759. The next prime is 61478209763. The reversal of 61478209760 is 6790287416.

It is a junction number, because it is equal to n+sod(n) for n = 61478209699 and 61478209708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61478209763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 997457 + ... + 1057296.

It is an arithmetic number, because the mean of its divisors is an integer number (1747568277).

Almost surely, 261478209760 is an apocalyptic number.

It is an amenable number.

61478209760 is an abundant number, since it is smaller than the sum of its proper divisors (106288344832).

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

61478209760 is a wasteful number, since it uses less digits than its factorization.

61478209760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054796 (or 2054788 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 50.

The spelling of 61478209760 in words is "sixty-one billion, four hundred seventy-eight million, two hundred nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 68 80 85 88 110 136 160 170 176 187 220 272 340 352 374 440 544 680 748 880 935 1360 1496 1760 1870 2720 2992 3740 5984 7480 14960 29920 2054753 4109506 8219012 10273765 16438024 20547530 22602283 32876048 34930801 41095060 45204566 65752096 69861602 82190120 90409132 113011415 139723204 164380240 174654005 180818264 226022830 279446408 328760480 349308010 361636528 384238811 452045660 558892816 698616020 723273056 768477622 904091320 1117785632 1397232040 1536955244 1808182640 1921194055 2794464080 3073910488 3616365280 3842388110 5588928160 6147820976 7684776220 12295641952 15369552440 30739104880 61478209760