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2097150432 = 253137989239
BaseRepresentation
bin111110011111111…
…1111100111100000
312102011011021120020
41330333333213200
513243332303212
6544033113440
7102653325126
oct17477774740
95364137506
102097150432
11986872183
124a63b8880
13275630b20
1415c747916
15c41a2d8c
hex7cfff9e0

2097150432 has 192 divisors, whose sum is σ = 6096384000. Its totient is φ = 627314688.

The previous prime is 2097150421. The next prime is 2097150437. The reversal of 2097150432 is 2340517902.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 2097150393 and 2097150402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097150437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8774569 + ... + 8774807.

It is an arithmetic number, because the mean of its divisors is an integer number (31752000).

Almost surely, 22097150432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097150432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3048192000).

2097150432 is an abundant number, since it is smaller than the sum of its proper divisors (3999233568).

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

2097150432 is a wasteful number, since it uses less digits than its factorization.

2097150432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 2097150432 is about 45794.6550592970. The cubic root of 2097150432 is about 1279.9996809895. Note that the first 3 decimals are identical.

The spelling of 2097150432 in words is "two billion, ninety-seven million, one hundred fifty thousand, four hundred thirty-two".