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166251380904 = 23347145925121
BaseRepresentation
bin1001101011010101011…
…0101100000010101000
3120220010100022012110000
42122311112230002220
510210440323142104
6204212544023000
715003602264340
oct2326526540250
9526110265400
10166251380904
1164563630164
1228279301a60
13128a643c78b
148091c7bd20
1544d06cd639
hex26b55ac0a8

166251380904 has 160 divisors (see below), whose sum is σ = 532566302400. Its totient is φ = 47465948160.

The previous prime is 166251380899. The next prime is 166251380909. The reversal of 166251380904 is 409083152661.

166251380904 is a `hidden beast` number, since 1 + 6 + 625 + 13 + 8 + 0 + 9 + 0 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (166251380899) and next prime (166251380909).

It is a self number, because there is not a number n which added to its sum of digits gives 166251380904.

It is not an unprimeable number, because it can be changed into a prime (166251380909) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 6605464 + ... + 6630584.

It is an arithmetic number, because the mean of its divisors is an integer number (3328539390).

Almost surely, 2166251380904 is an apocalyptic number.

166251380904 is a gapful number since it is divisible by the number (14) 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 166251380904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266283151200).

166251380904 is an abundant number, since it is smaller than the sum of its proper divisors (366314921496).

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

166251380904 is a wasteful number, since it uses less digits than its factorization.

166251380904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26605 (or 26592 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 166251380904 in words is "one hundred sixty-six billion, two hundred fifty-one million, three hundred eighty thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 162 168 189 216 252 324 378 504 567 648 756 1134 1459 1512 2268 2918 4377 4536 5836 8754 10213 11672 13131 17508 20426 25121 26262 30639 35016 39393 40852 50242 52524 61278 75363 78786 81704 91917 100484 105048 118179 122556 150726 157572 175847 183834 200968 226089 236358 245112 275751 301452 315144 351694 367668 452178 472716 527541 551502 602904 678267 703388 735336 827253 904356 945432 1055082 1103004 1356534 1406776 1582623 1654506 1808712 2034801 2110164 2206008 2713068 3165246 3309012 4069602 4220328 4747869 5426136 6330492 6618024 8139204 9495738 12660984 14243607 16278408 18991476 28487214 36651539 37982952 56974428 73303078 109954617 113948856 146606156 219909234 256560773 293212312 329863851 439818468 513121546 659727702 769682319 879636936 989591553 1026243092 1319455404 1539364638 1979183106 2052486184 2309046957 2638910808 2968774659 3078729276 3958366212 4618093914 5937549318 6157458552 6927140871 7916732424 9236187828 11875098636 13854281742 18472375656 20781422613 23750197272 27708563484 41562845226 55417126968 83125690452 166251380904