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10334784384 = 27336194831
BaseRepresentation
bin10011010000000000…
…00100101110000000
3222200020201102222000
421220000010232000
5132131201100014
64425302144000
7514051134501
oct115000045600
928606642860
1010334784384
114423797521
122005122000
13c89176b42
147007ccba8
1540748d509
hex268004b80

10334784384 has 128 divisors (see below), whose sum is σ = 30557568000. Its totient is φ = 3438650880.

The previous prime is 10334784367. The next prime is 10334784391. The reversal of 10334784384 is 48348743301.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2136849 + ... + 2141679.

It is an arithmetic number, because the mean of its divisors is an integer number (238731000).

Almost surely, 210334784384 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 10334784384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15278784000).

10334784384 is an abundant number, since it is smaller than the sum of its proper divisors (20222783616).

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

10334784384 is an equidigital number, since it uses as much as digits as its factorization.

10334784384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5473 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 10334784384 in words is "ten billion, three hundred thirty-four million, seven hundred eighty-four thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 619 864 1152 1238 1728 1857 2476 3456 3714 4831 4952 5571 7428 9662 9904 11142 14493 14856 16713 19324 19808 22284 28986 29712 33426 38648 39616 43479 44568 57972 59424 66852 77296 79232 86958 89136 115944 118848 130437 133704 154592 173916 178272 231888 237696 260874 267408 309184 347832 356544 463776 521748 534816 618368 695664 713088 927552 1043496 1069632 1391328 1855104 2086992 2139264 2782656 2990389 4173984 5565312 5980778 8347968 8971167 11961556 16695936 17942334 23923112 26913501 35884668 47846224 53827002 71769336 80740503 95692448 107654004 143538672 161481006 191384896 215308008 287077344 322962012 382769792 430616016 574154688 645924024 861232032 1148309376 1291848048 1722464064 2583696096 3444928128 5167392192 10334784384