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4163431640 = 235311334681
BaseRepresentation
bin1111100000101000…
…1110110011011000
3101202011020020111212
43320022032303120
532011314303030
61525044442252
7205113404444
oct37012166330
911664206455
104163431640
11184716a8a5
129823a9388
13514744124
142b6d37824
151957a9595
hexf828ecd8

4163431640 has 32 divisors (see below), whose sum is σ = 9397870560. Its totient is φ = 1660012800.

The previous prime is 4163431637. The next prime is 4163431663. The reversal of 4163431640 is 461343614.

4163431640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 4163431597 and 4163431606.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 154901 + ... + 179780.

It is an arithmetic number, because the mean of its divisors is an integer number (293683455).

Almost surely, 24163431640 is an apocalyptic number.

4163431640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4163431640 is an abundant number, since it is smaller than the sum of its proper divisors (5234438920).

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

4163431640 is a wasteful number, since it uses less digits than its factorization.

4163431640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335003 (or 334999 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 4163431640 is about 64524.6591622149. The cubic root of 4163431640 is about 1608.7324153303.

The spelling of 4163431640 in words is "four billion, one hundred sixty-three million, four hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 311 622 1244 1555 2488 3110 6220 12440 334681 669362 1338724 1673405 2677448 3346810 6693620 13387240 104085791 208171582 416343164 520428955 832686328 1040857910 2081715820 4163431640