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10330684128 = 2532167347619
BaseRepresentation
bin10011001111100000…
…11011101011100000
3222122222000010110200
421213300123223200
5132124123343003
64425034225200
7514001236422
oct114760335340
928588003420
1010330684128
114421446986
122003885200
13c8836c75b
14700042812
15406e2d6a3
hex267c1bae0

10330684128 has 144 divisors (see below), whose sum is σ = 29686849920. Its totient is φ = 3407563008.

The previous prime is 10330684127. The next prime is 10330684139. The reversal of 10330684128 is 82148603301.

10330684128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×103306841282 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10330684092 and 10330684101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10330684127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16689003 + ... + 16689621.

It is an arithmetic number, because the mean of its divisors is an integer number (206158680).

Almost surely, 210330684128 is an apocalyptic number.

10330684128 is a gapful number since it is divisible by the number (18) 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 10330684128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14843424960).

10330684128 is an abundant number, since it is smaller than the sum of its proper divisors (19356165792).

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

10330684128 is a wasteful number, since it uses less digits than its factorization.

10330684128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 10330684128 in words is "ten billion, three hundred thirty million, six hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 347 501 619 668 694 1002 1041 1238 1336 1388 1503 1857 2004 2082 2476 2672 2776 3006 3123 3714 4008 4164 4952 5344 5552 5571 6012 6246 7428 8016 8328 9904 11104 11142 12024 12492 14856 16032 16656 19808 22284 24048 24984 29712 33312 44568 48096 49968 57949 59424 89136 99936 103373 115898 173847 178272 206746 214793 231796 310119 347694 413492 429586 463592 521541 620238 644379 695388 826984 859172 927184 930357 1043082 1240476 1288758 1390776 1653968 1718344 1854368 1860714 1933137 2086164 2480952 2577516 2781552 3307936 3436688 3721428 3866274 4172328 4961904 5155032 5563104 6873376 7442856 7732548 8344656 9923808 10310064 14885712 15465096 16689312 20620128 29771424 30930192 35870431 61860384 71740862 107611293 143481724 215222586 286963448 322833879 430445172 573926896 645667758 860890344 1147853792 1291335516 1721780688 2582671032 3443561376 5165342064 10330684128