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4100663430 = 232559898677
BaseRepresentation
bin1111010001101011…
…0010100010000110
3101120210010021201100
43310122302202012
531344232212210
61514523240530
7203422030653
oct36432624206
911523107640
104100663430
111814799146
12965379146
13504738186
142ac878c2a
1519000b5c0
hexf46b2886

4100663430 has 96 divisors (see below), whose sum is σ = 10965520800. Its totient is φ = 1062775296.

The previous prime is 4100663407. The next prime is 4100663431. The reversal of 4100663430 is 343660014.

It is a super-2 number, since 2×41006634302 = 33630881132278729800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4100663394 and 4100663403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4100663431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 468252 + ... + 476928.

It is an arithmetic number, because the mean of its divisors is an integer number (114224175).

Almost surely, 24100663430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4100663430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5482760400).

4100663430 is an abundant number, since it is smaller than the sum of its proper divisors (6864857370).

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

4100663430 is a wasteful number, since it uses less digits than its factorization.

4100663430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8838 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 4100663430 is about 64036.4226827202. The cubic root of 4100663430 is about 1600.6069871479.

The spelling of 4100663430 in words is "four billion, one hundred million, six hundred sixty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 59 89 90 118 177 178 267 295 354 445 531 534 590 801 885 890 1062 1335 1602 1770 2655 2670 4005 5251 5310 8010 8677 10502 15753 17354 26031 26255 31506 43385 47259 52062 52510 78093 78765 86770 94518 130155 156186 157530 236295 260310 390465 472590 511943 772253 780930 1023886 1535829 1544506 2316759 2559715 3071658 3861265 4607487 4633518 5119430 6950277 7679145 7722530 9214974 11583795 13900554 15358290 23037435 23167590 34751385 45562927 46074870 69502770 91125854 136688781 227814635 273377562 410066343 455629270 683443905 820132686 1366887810 2050331715 4100663430