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10030064304 = 24313139197587
BaseRepresentation
bin10010101011101011…
…01010001010110000
3221220000100001121010
421111311222022300
5131020144024204
64335135030520
7503361065661
oct112565521260
927800301533
1010030064304
114287789847
121b3b06b440
13c3acb57c0
146b214b368
153da84ad89
hex255d6a2b0

10030064304 has 160 divisors (see below), whose sum is σ = 28295688960. Its totient is φ = 3043224576.

The previous prime is 10030064257. The next prime is 10030064321. The reversal of 10030064304 is 40346003001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17086699 + ... + 17087285.

It is an arithmetic number, because the mean of its divisors is an integer number (176848056).

Almost surely, 210030064304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10030064304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14147844480).

10030064304 is an abundant number, since it is smaller than the sum of its proper divisors (18265624656).

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

10030064304 is a wasteful number, since it uses less digits than its factorization.

10030064304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 10030064304 its reverse (40346003001), we get a palindrome (50376067305).

The spelling of 10030064304 in words is "ten billion, thirty million, sixty-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 139 156 197 208 278 312 394 417 556 587 591 624 788 834 1112 1174 1182 1576 1668 1761 1807 2224 2348 2364 2561 3152 3336 3522 3614 4696 4728 5122 5421 6672 7044 7228 7631 7683 9392 9456 10244 10842 14088 14456 15262 15366 20488 21684 22893 27383 28176 28912 30524 30732 40976 43368 45786 54766 61048 61464 81593 82149 86736 91572 109532 115639 122096 122928 163186 164298 183144 219064 231278 244779 326372 328596 346917 355979 366288 438128 462556 489558 652744 657192 693834 711958 925112 979116 1060709 1067937 1305488 1314384 1387668 1423916 1503307 1850224 1958232 2121418 2135874 2775336 2847832 3006614 3182127 3916464 4242836 4271748 4509921 5550672 5695664 6013228 6364254 8485672 8543496 9019842 12026456 12728508 16073821 16971344 17086992 18039684 24052912 25457016 32147642 36079368 48221463 50914032 64295284 72158736 96442926 128590568 192885852 208959673 257181136 385771704 417919346 626879019 771543408 835838692 1253758038 1671677384 2507516076 3343354768 5015032152 10030064304