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4101862656 = 28383229281
BaseRepresentation
bin1111010001111101…
…0111010100000000
3101120212101012202010
43310133113110000
531400034101111
61515005052520
7203435154153
oct36437272400
911525335663
104101862656
111815438141
12965857140
13504a67c88
142acaabc9a
15190196aa6
hexf47d7500

4101862656 has 144 divisors (see below), whose sum is σ = 11136202560. Its totient is φ = 1340129280.

The previous prime is 4101862651. The next prime is 4101862691. The reversal of 4101862656 is 6562681014.

It is a happy number.

4101862656 is digitally balanced in base 2, because in such base 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 (4101862651) 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, 14597236 + ... + 14597516.

It is an arithmetic number, because the mean of its divisors is an integer number (77334740).

Almost surely, 24101862656 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 4101862656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5568101280).

4101862656 is an abundant number, since it is smaller than the sum of its proper divisors (7034339904).

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

4101862656 is a wasteful number, since it uses less digits than its factorization.

4101862656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 4101862656 is about 64045.7856224748. The cubic root of 4101862656 is about 1600.7630027506.

The spelling of 4101862656 in words is "four billion, one hundred one million, eight hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 229 249 256 281 332 384 458 498 562 664 687 768 843 916 996 1124 1328 1374 1686 1832 1992 2248 2656 2748 3372 3664 3984 4496 5312 5496 6744 7328 7968 8992 10624 10992 13488 14656 15936 17984 19007 21248 21984 23323 26976 29312 31872 35968 38014 43968 46646 53952 57021 58624 63744 64349 69969 71936 76028 87936 93292 107904 114042 128698 139938 152056 175872 186584 193047 215808 228084 257396 279876 304112 373168 386094 456168 514792 559752 608224 746336 772188 912336 1029584 1119504 1216448 1492672 1544376 1824672 2059168 2239008 2432896 2985344 3088752 3649344 4118336 4478016 4865792 5340967 5970688 6177504 7298688 8236672 8956032 10681934 12355008 14597376 16022901 16473344 17912064 21363868 24710016 32045802 42727736 49420032 64091604 85455472 128183208 170910944 256366416 341821888 512732832 683643776 1025465664 1367287552 2050931328 4101862656