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4064243652 = 22327217313433
BaseRepresentation
bin1111001000111111…
…0110111111000100
3101111020120222011200
43302033312333010
531310421244102
61511142502500
7202500333600
oct36217667704
911436528150
104064243652
1117a6183457
12955134a30
134ca026101
142a7ab8500
1518bc1551c
hexf23f6fc4

4064243652 has 216 divisors, whose sum is σ = 12723545016. Its totient is φ = 1086898176.

The previous prime is 4064243633. The next prime is 4064243663. The reversal of 4064243652 is 2563424604.

4064243652 is a `hidden beast` number, since 4 + 0 + 642 + 4 + 3 + 6 + 5 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4769856 + 4059473796 = 2184^2 + 63714^2 .

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 71 ways as a sum of consecutive naturals, for example, 9386028 + ... + 9386460.

It is an arithmetic number, because the mean of its divisors is an integer number (58905301).

Almost surely, 24064243652 is an apocalyptic number.

4064243652 is a gapful number since it is divisible by the number (42) 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 4064243652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6361772508).

4064243652 is an abundant number, since it is smaller than the sum of its proper divisors (8659301364).

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

4064243652 is a wasteful number, since it uses less digits than its factorization.

4064243652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 4064243652 is about 63751.4207841676. The cubic root of 4064243652 is about 1595.8543265010.

The spelling of 4064243652 in words is "four billion, sixty-four million, two hundred forty-three thousand, six hundred fifty-two".