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63378071130 = 235112329328499
BaseRepresentation
bin111011000001101000…
…001001111001011010
320001120221000121011210
4323001220021321122
52014244241234010
645040540003550
74402365500403
oct730150117132
9201527017153
1063378071130
11249732a5990
12103492305b6
135c9057594a
1430d33929aa
1519ae0c7b20
hexec1a09e5a

63378071130 has 128 divisors (see below), whose sum is σ = 173746944000. Its totient is φ = 14645692160.

The previous prime is 63378071123. The next prime is 63378071171. The reversal of 63378071130 is 3117087336.

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 63 ways as a sum of consecutive naturals, for example, 2209621 + ... + 2238119.

It is an arithmetic number, because the mean of its divisors is an integer number (1357398000).

Almost surely, 263378071130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63378071130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86873472000).

63378071130 is an abundant number, since it is smaller than the sum of its proper divisors (110368872870).

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

63378071130 is a wasteful number, since it uses less digits than its factorization.

63378071130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28836.

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 63378071130 in words is "sixty-three billion, three hundred seventy-eight million, seventy-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 293 330 345 506 586 690 759 879 1265 1465 1518 1758 2530 2930 3223 3795 4395 6446 6739 7590 8790 9669 13478 16115 19338 20217 28499 32230 33695 40434 48345 56998 67390 74129 85497 96690 101085 142495 148258 170994 202170 222387 284990 313489 370645 427485 444774 626978 655477 741290 854970 940467 1111935 1310954 1567445 1880934 1966431 2223870 3134890 3277385 3932862 4702335 6554770 7210247 8350207 9404670 9832155 14420494 16700414 19664310 21630741 25050621 36051235 41751035 43261482 50101242 72102470 83502070 91852277 108153705 125253105 183704554 192054761 216307410 250506210 275556831 384109522 459261385 551113662 576164283 918522770 960273805 1152328566 1377784155 1920547610 2112602371 2755568310 2880821415 4225204742 5761642830 6337807113 10563011855 12675614226 21126023710 31689035565 63378071130