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4074424704 = 273271992539
BaseRepresentation
bin1111001011011010…
…1100100110000000
3101111221202012221200
43302312230212000
531321023042304
61512145021200
7202653016140
oct36266544600
911457665850
104074424704
1118009a7649
12958624800
134cc17c1bc
142a91a8920
1518ca76e39
hexf2dac980

4074424704 has 192 divisors, whose sum is σ = 13472160000. Its totient is φ = 1157815296.

The previous prime is 4074424691. The next prime is 4074424777. The reversal of 4074424704 is 4074244704.

4074424704 is a `hidden beast` number, since 407 + 4 + 4 + 247 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603467 + ... + 1606005.

It is an arithmetic number, because the mean of its divisors is an integer number (70167500).

Almost surely, 24074424704 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 4074424704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6736080000).

4074424704 is an abundant number, since it is smaller than the sum of its proper divisors (9397735296).

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

4074424704 is a wasteful number, since it uses less digits than its factorization.

4074424704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2765 (or 2750 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 36.

The square root of 4074424704 is about 63831.2204489308. The cubic root of 4074424704 is about 1597.1857696360.

The spelling of 4074424704 in words is "four billion, seventy-four million, four hundred twenty-four thousand, seven hundred four".