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4744146132 = 22331131128819
BaseRepresentation
bin1000110101100010…
…11110110011010100
3110020121221121001000
410122301132303110
534204000134012
62102431303300
7225364401555
oct43261366324
913217847030
104744146132
112014a46230
12b0497ab30
135a7b4987b
1433010032c
151cb767ddc
hex11ac5ecd4

4744146132 has 96 divisors (see below), whose sum is σ = 13850726400. Its totient is φ = 1391234400.

The previous prime is 4744146109. The next prime is 4744146137. The reversal of 4744146132 is 2316414474.

4744146132 is a `hidden beast` number, since 47 + 441 + 46 + 132 = 666.

It is a super-2 number, since 2×47441461322 = 45013845043541122848, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4744146137) 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 31 ways as a sum of consecutive naturals, for example, 27582 + ... + 101237.

It is an arithmetic number, because the mean of its divisors is an integer number (144278400).

Almost surely, 24744146132 is an apocalyptic number.

It is an amenable number.

4744146132 is an abundant number, since it is smaller than the sum of its proper divisors (9106580268).

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

4744146132 is a wasteful number, since it uses less digits than its factorization.

4744146132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128874 (or 128866 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 4744146132 is about 68877.7622458802. The cubic root of 4744146132 is about 1680.2968735567.

The spelling of 4744146132 in words is "four billion, seven hundred forty-four million, one hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 4092 6138 9207 12276 18414 36828 128819 257638 386457 515276 772914 1159371 1417009 1545828 2318742 2834018 3478113 3993389 4251027 4637484 5668036 6956226 7986778 8502054 11980167 12753081 13912452 15973556 17004108 23960334 25506162 35940501 38259243 43927279 47920668 51012324 71881002 76518486 87854558 107821503 131781837 143762004 153036972 175709116 215643006 263563674 395345511 431286012 527127348 790691022 1186036533 1581382044 2372073066 4744146132