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115753073136 = 2436763157041
BaseRepresentation
bin110101111001101101…
…0111011100111110000
3102001210000211101001220
41223303122323213300
53344030241320021
6125102022025040
711235316613301
oct1536332734760
9361700741056
10115753073136
11450aa657108
121a525578180
13abb938acac
1458612b67a8
153027206cc6
hex1af36bb9f0

115753073136 has 80 divisors (see below), whose sum is σ = 303978187008. Its totient is φ = 37947571200.

The previous prime is 115753073063. The next prime is 115753073141. The reversal of 115753073136 is 631370357511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2000776 + ... + 2057816.

Almost surely, 2115753073136 is an apocalyptic number.

115753073136 is a gapful number since it is divisible by the number (16) 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 115753073136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151989093504).

115753073136 is an abundant number, since it is smaller than the sum of its proper divisors (188225113872).

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

115753073136 is a wasteful number, since it uses less digits than its factorization.

115753073136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57750 (or 57744 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 42.

The spelling of 115753073136 in words is "one hundred fifteen billion, seven hundred fifty-three million, seventy-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 631 804 1072 1262 1608 1893 2524 3216 3786 5048 7572 10096 15144 30288 42277 57041 84554 114082 126831 169108 171123 228164 253662 338216 342246 456328 507324 676432 684492 912656 1014648 1368984 2029296 2737968 3821747 7643494 11465241 15286988 22930482 30573976 35992871 45860964 61147952 71985742 91721928 107978613 143971484 183443856 215957226 287942968 431914452 575885936 863828904 1727657808 2411522357 4823044714 7234567071 9646089428 14469134142 19292178856 28938268284 38584357712 57876536568 115753073136