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2073918672 = 2432717373271
BaseRepresentation
bin111101110011101…
…0111110011010000
312100112102222120200
41323213113303100
513221410344142
6541443135200
7102252006060
oct17347276320
95315388520
102073918672
11974744881
1249a674500
13270888717
1415961b3a0
15c211464c
hex7b9d7cd0

2073918672 has 240 divisors, whose sum is σ = 7215466752. Its totient is φ = 542453760.

The previous prime is 2073918659. The next prime is 2073918677. The reversal of 2073918672 is 2768193702.

It is a super-2 number, since 2×20739186722 = 8602277316140487168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073918677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 632397 + ... + 635667.

Almost surely, 22073918672 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 2073918672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3607733376).

2073918672 is an abundant number, since it is smaller than the sum of its proper divisors (5141548080).

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

2073918672 is a wasteful number, since it uses less digits than its factorization.

2073918672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3346 (or 3337 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 2073918672 is about 45540.2972322316. The cubic root of 2073918672 is about 1275.2556036568.

The spelling of 2073918672 in words is "two billion, seventy-three million, nine hundred eighteen thousand, six hundred seventy-two".