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4062162102656 = 27729167936127
BaseRepresentation
bin111011000111001011101…
…110101010100110000000
3112101100011001122200221112
4323013023232222212000
51013023301444241111
612350044223342452
7566324110110110
oct73071356524600
915340131580845
104062162102656
111326831674429
12557335a51a28
132360a24787b8
14100877007040
15709ed440e8b
hex3b1cbbaa980

4062162102656 has 128 divisors (see below), whose sum is σ = 9624893644800. Its totient is φ = 1670827640832.

The previous prime is 4062162102653. The next prime is 4062162102689. The reversal of 4062162102656 is 6562012612604.

4062162102656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4062162102653) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3871265 + ... + 4807391.

It is an arithmetic number, because the mean of its divisors is an integer number (75194481600).

Almost surely, 24062162102656 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 4062162102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4812446822400).

4062162102656 is an abundant number, since it is smaller than the sum of its proper divisors (5562731542144).

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

4062162102656 is a wasteful number, since it uses less digits than its factorization.

4062162102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936344 (or 936332 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The spelling of 4062162102656 in words is "four trillion, sixty-two billion, one hundred sixty-two million, one hundred two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 167 203 224 232 334 406 448 464 668 812 896 928 1169 1336 1624 1856 2338 2672 3248 3712 4676 4843 5344 6496 9352 9686 10688 12992 18704 19372 21376 25984 33901 37408 38744 67802 74816 77488 135604 149632 154976 271208 309952 542416 619904 936127 1084832 1872254 2169664 3744508 4339328 6552889 7489016 13105778 14978032 26211556 27147683 29956064 52423112 54295366 59912128 104846224 108590732 119824256 156333209 190033781 209692448 217181464 312666418 380067562 419384896 434362928 625332836 760135124 838769792 868725856 1094332463 1250665672 1520270248 1737451712 2188664926 2501331344 3040540496 3474903424 4377329852 4533663061 5002662688 6081080992 8754659704 9067326122 10005325376 12162161984 17509319408 18134652244 20010650752 24324323968 31735641427 35018638816 36269304488 63471282854 70037277632 72538608976 126942565708 140074555264 145077217952 253885131416 290154435904 507770262832 580308871808 1015540525664 2031081051328 4062162102656