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4078422720 = 263254332933
BaseRepresentation
bin1111001100010111…
…1100101011000000
3101112020021100012100
43303011330223000
531323034011340
61512410430400
7203032010151
oct36305745300
911466240170
104078422720
111803188399
12959a32400
134ccc4bba8
142a9929928
1518d0b6830
hexf317cac0

4078422720 has 168 divisors, whose sum is σ = 14354744976. Its totient is φ = 1062254592.

The previous prime is 4078422707. The next prime is 4078422737. The reversal of 4078422720 is 272248704.

4078422720 is a `hidden beast` number, since 407 + 8 + 4 + 227 + 20 = 666.

4078422720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107374 + ... + 140306.

Almost surely, 24078422720 is an apocalyptic number.

4078422720 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 4078422720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7177372488).

4078422720 is an abundant number, since it is smaller than the sum of its proper divisors (10276322256).

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

4078422720 is a wasteful number, since it uses less digits than its factorization.

4078422720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32999 (or 32986 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 4078422720 is about 63862.5298590652. The cubic root of 4078422720 is about 1597.7080099730.

It can be divided in two parts, 40784 and 22720, that added together give a square (63504 = 2522).

The spelling of 4078422720 in words is "four billion, seventy-eight million, four hundred twenty-two thousand, seven hundred twenty".