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2104354269264 = 2431319912719447
BaseRepresentation
bin11110100111110101010…
…010011110100001010000
321110011201001210222201210
4132213311102132201100
5233434204143104024
64250421011100120
7305014601105112
oct36476522364120
97404631728653
102104354269264
117414a7140925
1229ba07ba1640
131235941b49b0
1473bcbd233b2
1539b1461b129
hex1e9f549e850

2104354269264 has 160 divisors (see below), whose sum is σ = 6163541063680. Its totient is φ = 613316261376.

The previous prime is 2104354269239. The next prime is 2104354269271. The reversal of 2104354269264 is 4629624534012.

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

It is a congruent number.

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, 108199989 + ... + 108219435.

It is an arithmetic number, because the mean of its divisors is an integer number (38522131648).

Almost surely, 22104354269264 is an apocalyptic number.

2104354269264 is a gapful number since it is divisible by the number (24) 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 2104354269264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3081770531840).

2104354269264 is an abundant number, since it is smaller than the sum of its proper divisors (4059186794416).

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

2104354269264 is a wasteful number, since it uses less digits than its factorization.

2104354269264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28617 (or 28611 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 2104354269264 in words is "two trillion, one hundred four billion, three hundred fifty-four million, two hundred sixty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 38 39 48 52 57 76 78 104 114 152 156 208 228 247 304 312 456 494 624 741 912 988 1482 1976 2964 3952 5928 9127 11856 18254 19447 27381 36508 38894 54762 58341 73016 77788 109524 116682 118651 146032 155576 173413 219048 233364 237302 252811 311152 346826 355953 369493 438096 466728 474604 505622 520239 693652 711906 738986 758433 933456 949208 1011244 1040478 1108479 1387304 1423812 1477972 1516866 1898416 2022488 2080956 2216958 2254369 2774608 2847624 2955944 3033732 4044976 4161912 4433916 4508738 4803409 5695248 5911888 6067464 6763107 8323824 8867832 9017476 9606818 12134928 13526214 14410227 17735664 18034952 19213636 27052428 28820454 36069904 38427272 54104856 57640908 76854544 108209712 115281816 177492769 230563632 354985538 532478307 709971076 1064956614 1419942152 2129913228 2307405997 2839884304 3372362611 4259826456 4614811994 6744725222 6922217991 8519652912 9229623988 10117087833 13489450444 13844435982 18459247976 20234175666 26978900888 27688871964 36918495952 40468351332 43840713943 53957801776 55377743928 80936702664 87681427886 110755487856 131522141829 161873405328 175362855772 263044283658 350725711544 526088567316 701451423088 1052177134632 2104354269264