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4662698040 = 233357111319227
BaseRepresentation
bin1000101011110101…
…10010000000111000
3110000221200121021000
410111322302000320
534022122314130
62050401445000
7223355164560
oct42572620070
913027617230
104662698040
111a82a76060
12aa1640760
13594000330
1432337bda0
151c452a260
hex115eb2038

4662698040 has 1024 divisors, whose sum is σ = 22063104000. Its totient is φ = 843540480.

The previous prime is 4662698017. The next prime is 4662698041. The reversal of 4662698040 is 408962664.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4662698041) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20540407 + ... + 20540633.

It is an arithmetic number, because the mean of its divisors is an integer number (21546000).

Almost surely, 24662698040 is an apocalyptic number.

4662698040 is a gapful number since it is divisible by the number (40) 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 4662698040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11031552000).

4662698040 is an abundant number, since it is smaller than the sum of its proper divisors (17400405960).

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

4662698040 is a wasteful number, since it uses less digits than its factorization.

4662698040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4662698040 is about 68283.9515552520. The cubic root of 4662698040 is about 1670.6254652144.

The spelling of 4662698040 in words is "four billion, six hundred sixty-two million, six hundred ninety-eight thousand, forty".