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4125014208 = 26337397859
BaseRepresentation
bin1111010111011110…
…1011100011000000
3101122110221102201000
43311313223203000
531422000423313
61521153212000
7204136020330
oct36567534300
911573842630
104125014208
111827510257
12971561000
135097b2a13
142b1bb70c0
1519221b673
hexf5deb8c0

4125014208 has 224 divisors, whose sum is σ = 13910259200. Its totient is φ = 1174238208.

The previous prime is 4125014183. The next prime is 4125014219. The reversal of 4125014208 is 8024105214.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4801683 + ... + 4802541.

Almost surely, 24125014208 is an apocalyptic number.

4125014208 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 4125014208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6955129600).

4125014208 is an abundant number, since it is smaller than the sum of its proper divisors (9785244992).

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

4125014208 is a wasteful number, since it uses less digits than its factorization.

4125014208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1284 (or 1268 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 4125014208 is about 64226.2735023604. The cubic root of 4125014208 is about 1603.7690063149.

The spelling of 4125014208 in words is "four billion, one hundred twenty-five million, fourteen thousand, two hundred eight".