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4413923712 = 273311116107
BaseRepresentation
bin1000001110001011…
…10010000110000000
3102101121120120001000
410013011302012000
533014431024322
62005553412000
7214244506152
oct40705620600
912347516030
104413923712
1119655aa240
12a3226a000
135545c97a3
142dc300ad2
151ac7893ac
hex107172180

4413923712 has 128 divisors (see below), whose sum is σ = 14211619200. Its totient is φ = 1337541120.

The previous prime is 4413923711. The next prime is 4413923719. The reversal of 4413923712 is 2173293144.

It is a happy number.

4413923712 is a `hidden beast` number, since 4 + 413 + 9 + 237 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 (4413923711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20038 + ... + 96069.

It is an arithmetic number, because the mean of its divisors is an integer number (111028275).

Almost surely, 24413923712 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 4413923712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7105809600).

4413923712 is an abundant number, since it is smaller than the sum of its proper divisors (9797695488).

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

4413923712 is a wasteful number, since it uses less digits than its factorization.

4413923712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116141 (or 116123 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 4413923712 is about 66437.3668352381. The cubic root of 4413923712 is about 1640.3692049986.

The spelling of 4413923712 in words is "four billion, four hundred thirteen million, nine hundred twenty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 19008 38016 116107 232214 348321 464428 696642 928856 1044963 1277177 1393284 1857712 2089926 2554354 2786568 3134889 3715424 3831531 4179852 5108708 5573136 6269778 7430848 7663062 8359704 10217416 11146272 11494593 12539556 14861696 15326124 16719408 20434832 22292544 22989186 25079112 30652248 33438816 34483779 40869664 44585088 45978372 50158224 61304496 66877632 68967558 81739328 91956744 100316448 122608992 133755264 137935116 163478656 183913488 200632896 245217984 275870232 367826976 401265792 490435968 551740464 735653952 1103480928 1471307904 2206961856 4413923712