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30636856704 = 273237148857
BaseRepresentation
bin11100100010000110…
…010101010110000000
32221002010122120112110
4130202012111112000
51000221013403304
622024022055320
72133131661636
oct344206252600
987063576473
1030636856704
1111aa1785993
125b3027a540
132b732c689c
1416a8c67356
15be49c7289
hex722195580

30636856704 has 128 divisors (see below), whose sum is σ = 86115156480. Its totient is φ = 9630494720.

The previous prime is 30636856643. The next prime is 30636856709. The reversal of 30636856704 is 40765863603.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30636856709) 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, 602644 + ... + 651500.

It is an arithmetic number, because the mean of its divisors is an integer number (672774660).

Almost surely, 230636856704 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 30636856704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43057578240).

30636856704 is an abundant number, since it is smaller than the sum of its proper divisors (55478299776).

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

30636856704 is a wasteful number, since it uses less digits than its factorization.

30636856704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48968 (or 48956 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 30636856704 in words is "thirty billion, six hundred thirty-six million, eight hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 71 92 96 128 138 142 184 192 213 276 284 368 384 426 552 568 736 852 1104 1136 1472 1633 1704 2208 2272 2944 3266 3408 4416 4544 4899 6532 6816 8832 9088 9798 13064 13632 19596 26128 27264 39192 48857 52256 78384 97714 104512 146571 156768 195428 209024 293142 313536 390856 586284 627072 781712 1123711 1172568 1563424 2247422 2345136 3126848 3371133 3468847 4494844 4690272 6253696 6742266 6937694 8989688 9380544 10406541 13484532 13875388 17979376 18761088 20813082 26969064 27750776 35958752 41626164 53938128 55501552 71917504 79783481 83252328 107876256 111003104 143835008 159566962 166504656 215752512 222006208 239350443 319133924 333009312 431505024 444012416 478700886 638267848 666018624 957401772 1276535696 1332037248 1914803544 2553071392 3829607088 5106142784 7659214176 10212285568 15318428352 30636856704