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10918862820 = 22325449135101
BaseRepresentation
bin10100010101101000…
…01001111111100100
31001011221202200221200
422022310021333210
5134330212102240
65003245042500
7534402542205
oct121264117744
931157680850
1010918862820
1146a3460278
122148856430
131050189798
147581cd5ac
1543d8b3930
hex28ad09fe4

10918862820 has 72 divisors (see below), whose sum is σ = 33194561400. Its totient is φ = 2905190400.

The previous prime is 10918862797. The next prime is 10918862839. The reversal of 10918862820 is 2826881901.

It is a happy number.

10918862820 is a `hidden beast` number, since 1 + 0 + 9 + 18 + 8 + 628 + 2 + 0 = 666.

10918862820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18249984 + 10900612836 = 4272^2 + 104406^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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, 13270 + ... + 148370.

It is an arithmetic number, because the mean of its divisors is an integer number (461035575).

Almost surely, 210918862820 is an apocalyptic number.

10918862820 is a gapful number since it is divisible by the number (10) 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 10918862820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16597280700).

10918862820 is an abundant number, since it is smaller than the sum of its proper divisors (22275698580).

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

10918862820 is a wasteful number, since it uses less digits than its factorization.

10918862820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135565 (or 135560 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 10918862820 in words is "ten billion, nine hundred eighteen million, eight hundred sixty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 449 898 1347 1796 2245 2694 4041 4490 5388 6735 8082 8980 13470 16164 20205 26940 40410 80820 135101 270202 405303 540404 675505 810606 1215909 1351010 1621212 2026515 2431818 2702020 4053030 4863636 6079545 8106060 12159090 24318180 60660349 121320698 181981047 242641396 303301745 363962094 545943141 606603490 727924188 909905235 1091886282 1213206980 1819810470 2183772564 2729715705 3639620940 5459431410 10918862820