Search a number
-
+
1851514164 = 2232295930059
BaseRepresentation
bin110111001011011…
…1101110100110100
311210000221122221200
41232112331310310
512242441423124
6503420212500
763611416323
oct15626756464
94700848850
101851514164
11870149aa5
1243809a130
13236788716
14137c860ba
15ac831bc9
hex6e5bdd34

1851514164 has 72 divisors (see below), whose sum is σ = 4923828000. Its totient is φ = 585770304.

The previous prime is 1851514157. The next prime is 1851514177. The reversal of 1851514164 is 4614151581.

1851514164 is a `hidden beast` number, since 1 + 85 + 1 + 514 + 1 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46567 + ... + 76625.

It is an arithmetic number, because the mean of its divisors is an integer number (68386500).

Almost surely, 21851514164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1851514164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461914000).

1851514164 is an abundant number, since it is smaller than the sum of its proper divisors (3072313836).

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

1851514164 is a wasteful number, since it uses less digits than its factorization.

1851514164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30157 (or 30152 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 1851514164 is about 43029.2245340304. The cubic root of 1851514164 is about 1227.9358518483.

The spelling of 1851514164 in words is "one billion, eight hundred fifty-one million, five hundred fourteen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 59 87 116 118 174 177 236 261 348 354 522 531 708 1044 1062 1711 2124 3422 5133 6844 10266 15399 20532 30059 30798 60118 61596 90177 120236 180354 270531 360708 541062 871711 1082124 1743422 1773481 2615133 3486844 3546962 5230266 5320443 7093924 7845399 10460532 10640886 15690798 15961329 21281772 31381596 31922658 51430949 63845316 102861898 154292847 205723796 308585694 462878541 617171388 925757082 1851514164