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4106463328 = 2511103191593
BaseRepresentation
bin1111010011000011…
…1010100001100000
3101121012000221200101
43310300322201200
531402223311303
61515251432144
7203522235202
oct36460724140
911535027611
104106463328
111817a9a750
129672b5654
135059b9076
142ad548772
151907a4d1d
hexf4c3a860

4106463328 has 96 divisors (see below), whose sum is σ = 8966909952. Its totient is φ = 1835673600.

The previous prime is 4106463323. The next prime is 4106463337. The reversal of 4106463328 is 8233646014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4106463323) 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, 6924600 + ... + 6925192.

It is an arithmetic number, because the mean of its divisors is an integer number (93405312).

Almost surely, 24106463328 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 4106463328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4483454976).

4106463328 is an abundant number, since it is smaller than the sum of its proper divisors (4860446624).

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

4106463328 is a wasteful number, since it uses less digits than its factorization.

4106463328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 908 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 37.

The square root of 4106463328 is about 64081.6926118529. The cubic root of 4106463328 is about 1601.3612540387.

The spelling of 4106463328 in words is "four billion, one hundred six million, four hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 103 176 191 206 352 382 412 593 764 824 1133 1186 1528 1648 2101 2266 2372 3056 3296 4202 4532 4744 6112 6523 8404 9064 9488 13046 16808 18128 18976 19673 26092 33616 36256 39346 52184 61079 67232 78692 104368 113263 122158 157384 208736 216403 226526 244316 314768 432806 453052 488632 629536 671869 865612 906104 977264 1245893 1343738 1731224 1812208 1954528 2491786 2687476 3462448 3624416 4983572 5374952 6924896 9967144 10749904 11666089 19934288 21499808 23332178 39868576 46664356 93328712 128326979 186657424 256653958 373314848 513307916 1026615832 2053231664 4106463328