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4696965000 = 2332547133137
BaseRepresentation
bin1000101111111010…
…11111111110001000
3110010100011112200200
410113331133332020
534104410340000
62054024132200
7224252354340
oct42775377610
913110145620
104696965000
111aa0350362
12ab1007060
1359b13a540
14327b3bd20
151c7548500
hex117f5ff88

4696965000 has 960 divisors, whose sum is σ = 20741360640. Its totient is φ = 933120000.

The previous prime is 4696964989. The next prime is 4696965001. The reversal of 4696965000 is 5696964.

It is a super-2 number, since 2×46969650002 = 44122960422450000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4696965001) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 126944982 + ... + 126945018.

It is an arithmetic number, because the mean of its divisors is an integer number (21605584).

Almost surely, 24696965000 is an apocalyptic number.

4696965000 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 4696965000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10370680320).

4696965000 is an abundant number, since it is smaller than the sum of its proper divisors (16044395640).

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

4696965000 is a wasteful number, since it uses less digits than its factorization.

4696965000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 4696965000 is about 68534.4074170048. The cubic root of 4696965000 is about 1674.7080504013.

The spelling of 4696965000 in words is "four billion, six hundred ninety-six million, nine hundred sixty-five thousand".