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4212423468 = 2235113171179
BaseRepresentation
bin1111101100010100…
…0111101100101100
3101212120102021200000
43323011013230230
532111340022333
61533554504300
7206250002661
oct37305075454
911776367600
104212423468
111871892110
12996895090
13521938686
142bd64ba68
15199c35713
hexfb147b2c

4212423468 has 288 divisors, whose sum is σ = 12680478720. Its totient is φ = 1211112000.

The previous prime is 4212423461. The next prime is 4212423473. The reversal of 4212423468 is 8643242124.

It is a super-2 number, since 2×42124234682 = 35489022947514294048, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (4212423461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23533003 + ... + 23533181.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 24212423468 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 4212423468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6340239360).

4212423468 is an abundant number, since it is smaller than the sum of its proper divisors (8468055252).

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

4212423468 is a wasteful number, since it uses less digits than its factorization.

4212423468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 297 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 4212423468 is about 64903.1853455591. The cubic root of 4212423468 is about 1615.0179038039.

The spelling of 4212423468 in words is "four billion, two hundred twelve million, four hundred twenty-three thousand, four hundred sixty-eight".