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256401162066 = 237171737192887
BaseRepresentation
bin1110111011001010110…
…0110011111101010010
3220111211001000120200210
43232302230303331102
513200102144141231
6313442234424550
724344600626560
oct3566254637522
9814731016623
10256401162066
1199814854035
1241838292156
131b2422b515a
14c5a4a08a30
156a09c94a46
hex3bb2b33f52

256401162066 has 128 divisors (see below), whose sum is σ = 625205329920. Its totient is φ = 68430615552.

The previous prime is 256401162011. The next prime is 256401162071. The reversal of 256401162066 is 660261104652.

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 63 ways as a sum of consecutive naturals, for example, 88810875 + ... + 88813761.

It is an arithmetic number, because the mean of its divisors is an integer number (4884416640).

Almost surely, 2256401162066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256401162066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312602664960).

256401162066 is an abundant number, since it is smaller than the sum of its proper divisors (368804167854).

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

256401162066 is a wasteful number, since it uses less digits than its factorization.

256401162066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 256401162066 in words is "two hundred fifty-six billion, four hundred one million, one hundred sixty-two thousand, sixty-six".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 173 238 346 357 519 714 719 1038 1211 1438 2157 2422 2887 2941 3633 4314 5033 5774 5882 7266 8661 8823 10066 12223 15099 17322 17646 20209 20587 24446 30198 36669 40418 41174 49079 60627 61761 73338 85561 98158 121254 123522 124387 147237 171122 248774 256683 294474 343553 373161 499451 513366 687106 746322 870709 998902 1030659 1498353 1741418 2061318 2075753 2114579 2612127 2996706 3496157 4151506 4229158 5224254 6227259 6343737 6992314 8490667 10488471 12454518 12687474 14530271 14802053 16981334 20976942 25472001 29060542 29604106 35287801 43590813 44406159 50944002 59434669 70575602 87181626 88812318 105863403 118869338 178304007 211726806 247014607 356608014 359105269 494029214 718210538 741043821 1077315807 1482087642 2154631614 2513736883 5027473766 6104789573 7541210649 12209579146 15082421298 18314368719 36628737438 42733527011 85467054022 128200581033 256401162066