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63434401320 = 23354117374527
BaseRepresentation
bin111011000100111111…
…000010011000101000
320001201212000110200010
4323010333002120220
52014403201320240
645050311211520
74403651341353
oct730477023050
9201655013603
1063434401320
11249a207a664
1210364076ba0
135c9c139414
1430daa5729a
1519b4003280
hexec4fc2628

63434401320 has 128 divisors (see below), whose sum is σ = 196074224640. Its totient is φ = 16407644160.

The previous prime is 63434401309. The next prime is 63434401351. The reversal of 63434401320 is 2310443436.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 813897 + ... + 888423.

It is an arithmetic number, because the mean of its divisors is an integer number (1531829880).

Almost surely, 263434401320 is an apocalyptic number.

63434401320 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 63434401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98037112320).

63434401320 is an abundant number, since it is smaller than the sum of its proper divisors (132639823320).

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

63434401320 is a wasteful number, since it uses less digits than its factorization.

63434401320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74755 (or 74751 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 63434401320 its reverse (2310443436), we get a palindrome (65744844756).

The spelling of 63434401320 in words is "sixty-three billion, four hundred thirty-four million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 173 205 246 328 346 410 492 519 615 692 820 865 984 1038 1230 1384 1640 1730 2076 2460 2595 3460 4152 4920 5190 6920 7093 10380 14186 20760 21279 28372 35465 42558 56744 70930 74527 85116 106395 141860 149054 170232 212790 223581 283720 298108 372635 425580 447162 596216 745270 851160 894324 1117905 1490540 1788648 2235810 2981080 3055607 4471620 6111214 8943240 9166821 12222428 12893171 15278035 18333642 24444856 25786342 30556070 36667284 38679513 45834105 51572684 61112140 64465855 73334568 77359026 91668210 103145368 122224280 128931710 154718052 183336420 193397565 257863420 309436104 366672840 386795130 515726840 528620011 773590260 1057240022 1547180520 1585860033 2114480044 2643100055 3171720066 4228960088 5286200110 6343440132 7929300165 10572400220 12686880264 15858600330 21144800440 31717200660 63434401320