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4623386112 = 29321079377
BaseRepresentation
bin1000100111001001…
…10100011000000000
3102221012201100102200
410103210310120000
533432041323422
62042435113200
7222400063542
oct42344643000
912835640380
104623386112
111a62865464
12a90442800
13588b17a37
1431c067692
151c0d622ac
hex113934600

4623386112 has 120 divisors (see below), whose sum is σ = 13469546376. Its totient is φ = 1526562816.

The previous prime is 4623386093. The next prime is 4623386123. The reversal of 4623386112 is 2116833264.

4623386112 is a `hidden beast` number, since 4 + 6 + 2 + 3 + 38 + 611 + 2 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 488368 + ... + 497744.

Almost surely, 24623386112 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 4623386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6734773188).

4623386112 is an abundant number, since it is smaller than the sum of its proper divisors (8846160264).

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

4623386112 is a wasteful number, since it uses less digits than its factorization.

4623386112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9508 (or 9489 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 4623386112 is about 67995.4859678200. The cubic root of 4623386112 is about 1665.9171074983.

The spelling of 4623386112 in words is "four billion, six hundred twenty-three million, three hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 128 144 192 214 256 288 321 384 428 512 576 642 768 856 963 1152 1284 1536 1712 1926 2304 2568 3424 3852 4608 5136 6848 7704 9377 10272 13696 15408 18754 20544 27392 28131 30816 37508 41088 54784 56262 61632 75016 82176 84393 112524 123264 150032 164352 168786 225048 246528 300064 337572 450096 493056 600128 675144 900192 1003339 1200256 1350288 1800384 2006678 2400512 2700576 3010017 3600768 4013356 4801024 5401152 6020034 7201536 8026712 9030051 10802304 12040068 14403072 16053424 18060102 21604608 24080136 32106848 36120204 43209216 48160272 64213696 72240408 96320544 128427392 144480816 192641088 256854784 288961632 385282176 513709568 577923264 770564352 1155846528 1541128704 2311693056 4623386112