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4125017088 = 2103217113233
BaseRepresentation
bin1111010111011110…
…1100010000000000
3101122110221120122200
43311313230100000
531422001021323
61521153233200
7204136031613
oct36567542000
911573846580
104125017088
111827512435
12971562800
135097b411a
142b1bb817a
1519221c443
hexf5dec400

4125017088 has 264 divisors, whose sum is σ = 12777750648. Its totient is φ = 1277165568.

The previous prime is 4125017063. The next prime is 4125017111. The reversal of 4125017088 is 8807105214.

4125017088 is a `hidden beast` number, since 4 + 1 + 2 + 501 + 70 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 12616704 + 4112400384 = 3552^2 + 64128^2 .

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 23 ways as a sum of consecutive naturals, for example, 17703820 + ... + 17704052.

Almost surely, 24125017088 is an apocalyptic number.

4125017088 is a gapful number since it is divisible by the number (48) 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 4125017088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6388875324).

4125017088 is an abundant number, since it is smaller than the sum of its proper divisors (8652733560).

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

4125017088 is a wasteful number, since it uses less digits than its factorization.

4125017088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The square root of 4125017088 is about 64226.2959230875. The cubic root of 4125017088 is about 1603.7693795543.

The spelling of 4125017088 in words is "four billion, one hundred twenty-five million, seventeen thousand, eighty-eight".