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10394164224 = 210322938891
BaseRepresentation
bin10011010111000101…
…00101110000000000
3222211101110020210100
421223202211300000
5132241401223344
64435223002400
7515401636533
oct115342456000
928741406710
1010394164224
114454264474
122020b99400
13c98567742
14708648a1a
1540c7bc569
hex26b8a5c00

10394164224 has 132 divisors (see below), whose sum is σ = 31048650360. Its totient is φ = 3345162240.

The previous prime is 10394164223. The next prime is 10394164247. The reversal of 10394164224 is 42246149301.

10394164224 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 4 + 1 + 642 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10394164223) 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 11 ways as a sum of consecutive naturals, for example, 247819 + ... + 286709.

Almost surely, 210394164224 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 10394164224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15524325180).

10394164224 is an abundant number, since it is smaller than the sum of its proper divisors (20654486136).

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

10394164224 is a wasteful number, since it uses less digits than its factorization.

10394164224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38946 (or 38925 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 10394164224 in words is "ten billion, three hundred ninety-four million, one hundred sixty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1024 1044 1152 1392 1536 1856 2088 2304 2784 3072 3712 4176 4608 5568 7424 8352 9216 11136 14848 16704 22272 29696 33408 38891 44544 66816 77782 89088 116673 133632 155564 233346 267264 311128 350019 466692 622256 700038 933384 1127839 1244512 1400076 1866768 2255678 2489024 2800152 3383517 3733536 4511356 4978048 5600304 6767034 7467072 9022712 9956096 10150551 11200608 13534068 14934144 18045424 19912192 20301102 22401216 27068136 29868288 36090848 39824384 40602204 44802432 54136272 59736576 72181696 81204408 89604864 108272544 119473152 144363392 162408816 179209728 216545088 288726784 324817632 358419456 433090176 577453568 649635264 866180352 1154907136 1299270528 1732360704 2598541056 3464721408 5197082112 10394164224