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27067251040 = 2551910698329
BaseRepresentation
bin11001001101010101…
…010111100101100000
32120212100210211010021
4121031111113211200
5420413204013130
620233505043224
71645515560224
oct311525274540
976770724107
1027067251040
111052a837365
1252b4926514
1327248c909b
14144ab4a784
15a8641b37a
hex64d557960

27067251040 has 96 divisors (see below), whose sum is σ = 67383036000. Its totient is φ = 10246238208.

The previous prime is 27067251037. The next prime is 27067251109. The reversal of 27067251040 is 4015276072.

It is a junction number, because it is equal to n+sod(n) for n = 27067250987 and 27067251005.

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 15 ways as a sum of consecutive naturals, for example, 3245596 + ... + 3253924.

It is an arithmetic number, because the mean of its divisors is an integer number (701906625).

Almost surely, 227067251040 is an apocalyptic number.

27067251040 is a gapful number since it is divisible by the number (20) 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 27067251040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33691518000).

27067251040 is an abundant number, since it is smaller than the sum of its proper divisors (40315784960).

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

27067251040 is a wasteful number, since it uses less digits than its factorization.

27067251040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9432 (or 9424 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The spelling of 27067251040 in words is "twenty-seven billion, sixty-seven million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1069 1520 2138 3040 4276 5345 8329 8552 10690 16658 17104 20311 21380 33316 34208 40622 41645 42760 66632 81244 83290 85520 101555 133264 158251 162488 166580 171040 203110 266528 316502 324976 333160 406220 633004 649952 666320 791255 812440 1266008 1332640 1582510 1624880 2532016 3165020 3249760 5064032 6330040 8903701 12660080 17807402 25320160 35614804 44518505 71229608 89037010 142459216 169170319 178074020 284918432 338340638 356148040 676681276 712296080 845851595 1353362552 1424592160 1691703190 2706725104 3383406380 5413450208 6766812760 13533625520 27067251040