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4714126208 = 271141127643
BaseRepresentation
bin1000110001111101…
…11101101110000000
3110011112110102102222
410120332331232000
534123304014313
62055440030212
7224551261121
oct43076755600
913145412388
104714126208
111aaa001880
12ab6902368
135a18687bc
1432a128048
151c8cd8208
hex118fbdb80

4714126208 has 128 divisors (see below), whose sum is σ = 10594160640. Its totient is φ = 2070835200.

The previous prime is 4714126187. The next prime is 4714126211. The reversal of 4714126208 is 8026214174.

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

It is a super-4 number, since 4×47141262084 (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7331135 + ... + 7331777.

It is an arithmetic number, because the mean of its divisors is an integer number (82766880).

Almost surely, 24714126208 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 4714126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297080320).

4714126208 is an abundant number, since it is smaller than the sum of its proper divisors (5880034432).

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

4714126208 is a wasteful number, since it uses less digits than its factorization.

4714126208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 4714126208 is about 68659.4946675258. The cubic root of 4714126208 is about 1676.7451872755.

The spelling of 4714126208 in words is "four billion, seven hundred fourteen million, one hundred twenty-six thousand, two hundred eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 64 82 88 127 128 164 176 254 328 352 451 508 643 656 704 902 1016 1286 1312 1397 1408 1804 2032 2572 2624 2794 3608 4064 5144 5207 5248 5588 7073 7216 8128 10288 10414 11176 14146 14432 16256 20576 20828 22352 26363 28292 28864 41152 41656 44704 52726 56584 57277 57728 81661 82304 83312 89408 105452 113168 114554 163322 166624 178816 210904 226336 229108 289993 326644 333248 421808 452672 458216 579986 653288 666496 843616 898271 905344 916432 1159972 1306576 1687232 1796542 1832864 2319944 2613152 3348101 3374464 3593084 3665728 4639888 5226304 6696202 7186168 7331456 9279776 10452608 13392404 14372336 18559552 26784808 28744672 36829111 37119104 53569616 57489344 73658222 107139232 114978688 147316444 214278464 294632888 428556928 589265776 1178531552 2357063104 4714126208