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2159889512 = 231141472271
BaseRepresentation
bin1000000010111101…
…0100110001101000
312120112012202101212
42000233110301220
513410412431022
6554153532252
7104344520654
oct20057246150
95515182355
102159889512
11a09223a60
12503414088
13285629741
14166bd9a64
15c99473e2
hex80bd4c68

2159889512 has 96 divisors (see below), whose sum is σ = 4641114240. Its totient is φ = 933984000.

The previous prime is 2159889461. The next prime is 2159889539.

2159889512 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7969937 + ... + 7970207.

It is an arithmetic number, because the mean of its divisors is an integer number (48344940).

Almost surely, 22159889512 is an apocalyptic number.

2159889512 is a gapful number since it is divisible by the number (22) 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 2159889512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320557120).

2159889512 is an abundant number, since it is smaller than the sum of its proper divisors (2481224728).

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

2159889512 is a wasteful number, since it uses less digits than its factorization.

2159889512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 372 counting only the distinct ones).

The product of its digits is 518400, while the sum is 50.

The square root of 2159889512 is about 46474.6114776660. The cubic root of 2159889512 is about 1292.6387729785.

The spelling of 2159889512 in words is "two billion, one hundred fifty-nine million, eight hundred eighty-nine thousand, five hundred twelve".

Divisors: 1 2 4 8 11 22 41 44 47 82 88 94 164 188 271 328 376 451 517 542 902 1034 1084 1804 1927 2068 2168 2209 2981 3608 3854 4136 4418 5962 7708 8836 11111 11924 12737 15416 17672 21197 22222 23848 24299 25474 42394 44444 48598 50948 84788 88888 90569 97196 101896 122221 140107 169576 181138 194392 244442 280214 362276 488884 522217 560428 598639 724552 977768 996259 1044434 1120856 1197278 1992518 2088868 2394556 3985036 4177736 4789112 5744387 6585029 7970072 11488774 13170058 22977548 24544199 26340116 45955096 49088398 52680232 98176796 196353592 269986189 539972378 1079944756 2159889512