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4037081680 = 245132138201
BaseRepresentation
bin1111000010100000…
…1111101001010000
3101102100110222221201
43300220033221100
531231443103210
61504332400544
7202020425302
oct36050175120
911370428851
104037081680
111791911245
12948016154
134c4505b38
142a4247972
1518964c53a
hexf0a0fa50

4037081680 has 40 divisors (see below), whose sum is σ = 9393566184. Its totient is φ = 1613568000.

The previous prime is 4037081663. The next prime is 4037081683. The reversal of 4037081680 is 861807304.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 994014784 + 3043066896 = 31528^2 + 55164^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4037081683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86580 + ... + 124780.

Almost surely, 24037081680 is an apocalyptic number.

4037081680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4037081680 is an abundant number, since it is smaller than the sum of its proper divisors (5356484504).

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

4037081680 is a wasteful number, since it uses less digits than its factorization.

4037081680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39535 (or 39529 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 4037081680 is about 63538.0333343738. The cubic root of 4037081680 is about 1592.2912630057.

Adding to 4037081680 its reverse (861807304), we get a palindrome (4898888984).

The spelling of 4037081680 in words is "four billion, thirty-seven million, eighty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1321 2642 5284 6605 10568 13210 21136 26420 38201 52840 76402 105680 152804 191005 305608 382010 611216 764020 1528040 3056080 50463521 100927042 201854084 252317605 403708168 504635210 807416336 1009270420 2018540840 4037081680