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9704168064 = 2736103997
BaseRepresentation
bin10010000100110100…
…11101101010000000
3221001022002211000000
421002122131222000
5124333231334224
64242534000000
7462323032113
oct110232355200
927038084000
109704168064
11412a828108
121a69aa6000
13bb861b8a6
14680b5657a
153bbe240c9
hex24269da80

9704168064 has 112 divisors (see below), whose sum is σ = 28985802570. Its totient is φ = 3234691584.

The previous prime is 9704168059. The next prime is 9704168179. The reversal of 9704168064 is 4608614079.

It can be written as a sum of positive squares in only one way, i.e., 8828481600 + 875686464 = 93960^2 + 29592^2 .

It is an unprimeable number.

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 13 ways as a sum of consecutive naturals, for example, 41314 + ... + 145310.

Almost surely, 29704168064 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 9704168064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14492901285).

9704168064 is an abundant number, since it is smaller than the sum of its proper divisors (19281634506).

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

9704168064 is an equidigital number, since it uses as much as digits as its factorization.

9704168064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104029 (or 104002 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9704168064 is about 98509.7358843277. The cubic root of 9704168064 is about 2132.9766594679.

The spelling of 9704168064 in words is "nine billion, seven hundred four million, one hundred sixty-eight thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 729 864 972 1152 1296 1458 1728 1944 2592 2916 3456 3888 5184 5832 7776 10368 11664 15552 23328 31104 46656 93312 103997 207994 311991 415988 623982 831976 935973 1247964 1663952 1871946 2495928 2807919 3327904 3743892 4991856 5615838 6655808 7487784 8423757 9983712 11231676 13311616 14975568 16847514 19967424 22463352 25271271 29951136 33695028 39934848 44926704 50542542 59902272 67390056 75813813 89853408 101085084 119804544 134780112 151627626 179706816 202170168 269560224 303255252 359413632 404340336 539120448 606510504 808680672 1078240896 1213021008 1617361344 2426042016 3234722688 4852084032 9704168064