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4212495360 = 210325113809
BaseRepresentation
bin1111101100010101…
…1001010000000000
3101212120112221021200
43323011121100000
532111344322420
61534000221200
7206250422403
oct37305312000
911776487250
104212495360
111871931127
1299690a800
13521962308
142bd669d3a
15199c4bb90
hexfb159400

4212495360 has 264 divisors, whose sum is σ = 14743558440. Its totient is φ = 1112014848.

The previous prime is 4212495359. The next prime is 4212495373. The reversal of 4212495360 is 635942124.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 185831424 + 4026663936 = 13632^2 + 63456^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5206636 + ... + 5207444.

Almost surely, 24212495360 is an apocalyptic number.

4212495360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371779220).

4212495360 is an abundant number, since it is smaller than the sum of its proper divisors (10531063080).

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

4212495360 is a wasteful number, since it uses less digits than its factorization.

4212495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4212495360 is about 64903.7391835016. The cubic root of 4212495360 is about 1615.0270914056.

The spelling of 4212495360 in words is "four billion, two hundred twelve million, four hundred ninety-five thousand, three hundred sixty".