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10928379348 = 22321737487991
BaseRepresentation
bin10100010110110000…
…11101010111010100
31001012121200012011200
422023120131113110
5134340131114343
65004225032500
7534546456165
oct121330352724
931177605150
1010928379348
1146a8870177
12214ba85730
13105213c273
1475958976c
1543e6434d3
hex28b61d5d4

10928379348 has 144 divisors (see below), whose sum is σ = 30132071424. Its totient is φ = 3325639680.

The previous prime is 10928379347. The next prime is 10928379373. The reversal of 10928379348 is 84397382901.

10928379348 is a `hidden beast` number, since 10 + 9 + 283 + 7 + 9 + 348 = 666.

10928379348 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10928379294 and 10928379303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10928379347) 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 47 ways as a sum of consecutive naturals, for example, 11027133 + ... + 11028123.

It is an arithmetic number, because the mean of its divisors is an integer number (209250496).

Almost surely, 210928379348 is an apocalyptic number.

10928379348 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 10928379348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15066035712).

10928379348 is an abundant number, since it is smaller than the sum of its proper divisors (19203692076).

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

10928379348 is a wasteful number, since it uses less digits than its factorization.

10928379348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10928379348 in words is "ten billion, nine hundred twenty-eight million, three hundred seventy-nine thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 37 51 68 74 102 111 148 153 204 222 306 333 444 487 612 629 666 974 991 1258 1332 1461 1887 1948 1982 2516 2922 2973 3774 3964 4383 5661 5844 5946 7548 8279 8766 8919 11322 11892 16558 16847 17532 17838 18019 22644 24837 33116 33694 35676 36038 36667 49674 50541 54057 67388 72076 73334 74511 99348 101082 108114 110001 146668 149022 151623 162171 202164 216228 220002 298044 303246 306323 324342 330003 440004 482617 606492 612646 623339 648684 660006 918969 965234 1225292 1246678 1320012 1447851 1837938 1870017 1930468 2493356 2756907 2895702 3675876 3740034 4343553 5513814 5610051 5791404 7480068 8204489 8687106 11027628 11220102 16408978 17374212 17856829 22440204 24613467 32817956 35713658 49226934 53570487 71427316 73840401 98453868 107140974 147680802 160711461 214281948 295361604 303566093 321422922 607132186 642845844 910698279 1214264372 1821396558 2732094837 3642793116 5464189674 10928379348