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11729843136 = 2632111851301
BaseRepresentation
bin10101110110010011…
…10011001111000000
31010021110202202210200
422323021303033000
5143010314440021
65215535125200
7563451010254
oct127311631700
933243682720
1011729843136
114a7a210840
122334373800
13114c1b54ab
147d3bb6264
15489ba9126
hex2bb2733c0

11729843136 has 84 divisors (see below), whose sum is σ = 36677995224. Its totient is φ = 3554496000.

The previous prime is 11729843129. The next prime is 11729843183. The reversal of 11729843136 is 63134892711.

11729843136 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 = 11729843091 and 11729843100.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 919315 + ... + 931986.

Almost surely, 211729843136 is an apocalyptic number.

11729843136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11729843136 is an abundant number, since it is smaller than the sum of its proper divisors (24948152088).

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

11729843136 is a wasteful number, since it uses less digits than its factorization.

11729843136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851330 (or 1851317 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 11729843136 in words is "eleven billion, seven hundred twenty-nine million, eight hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 1851301 3702602 5553903 7405204 11107806 14810408 16661709 20364311 22215612 29620816 33323418 40728622 44431224 59241632 61092933 66646836 81457244 88862448 118483264 122185866 133293672 162914488 177724896 183278799 244371732 266587344 325828976 355449792 366557598 488743464 533174688 651657952 733115196 977486928 1066349376 1303315904 1466230392 1954973856 2932460784 3909947712 5864921568 11729843136