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4270446912 = 263314331657
BaseRepresentation
bin1111111010001001…
…1101100101000000
3102000121121011212110
43332202131211000
532221213300122
61543430255320
7210553125354
oct37642354500
912017534773
104270446912
1118a1612a76
129b21b7540
13530972a84
142c7233464
1519ed9790c
hexfe89d940

4270446912 has 112 divisors (see below), whose sum is σ = 11697362432. Its totient is φ = 1373552640.

The previous prime is 4270446907. The next prime is 4270446919. The reversal of 4270446912 is 2196440724.

4270446912 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4270446919) 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, 2576388 + ... + 2578044.

It is an arithmetic number, because the mean of its divisors is an integer number (104440736).

Almost surely, 24270446912 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 4270446912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5848681216).

4270446912 is an abundant number, since it is smaller than the sum of its proper divisors (7426915520).

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

4270446912 is a wasteful number, since it uses less digits than its factorization.

4270446912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2136 (or 2126 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 4270446912 is about 65348.6565431915. The cubic root of 4270446912 is about 1622.3993952513.

The spelling of 4270446912 in words is "four billion, two hundred seventy million, four hundred forty-six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 433 496 744 866 992 1299 1488 1657 1732 1984 2598 2976 3314 3464 4971 5196 5952 6628 6928 9942 10392 13256 13423 13856 19884 20784 26512 26846 27712 39768 40269 41568 51367 53024 53692 79536 80538 83136 102734 106048 107384 154101 159072 161076 205468 214768 308202 318144 322152 410936 429536 616404 644304 717481 821872 859072 1232808 1288608 1434962 1643744 2152443 2465616 2577216 2869924 3287488 4304886 4931232 5739848 8609772 9862464 11479696 17219544 22241911 22959392 34439088 44483822 45918784 66725733 68878176 88967644 133451466 137756352 177935288 266902932 355870576 533805864 711741152 1067611728 1423482304 2135223456 4270446912