Search a number
-
+
2075450107392 = 293589187433
BaseRepresentation
bin11110001100111010011…
…101110110011000000000
321100102002200112102200000
4132030322131312120000
5233001010211414032
64225240522400000
7302642405556444
oct36147235663000
97312080472600
102075450107392
1173021452a242
122962a0060000
13120938b7412c
1472649252824
1538ec1d04e7c
hex1e33a776600

2075450107392 has 240 divisors, whose sum is σ = 6281565610320. Its totient is φ = 684039831552.

The previous prime is 2075450107391. The next prime is 2075450107403. The reversal of 2075450107392 is 2937010545702.

It is a happy number.

2075450107392 is a `hidden beast` number, since 2 + 0 + 7 + 5 + 450 + 107 + 3 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2075450107391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10979308 + ... + 11166740.

It is an arithmetic number, because the mean of its divisors is an integer number (26173190043).

Almost surely, 22075450107392 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 2075450107392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140782805160).

2075450107392 is an abundant number, since it is smaller than the sum of its proper divisors (4206115502928).

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

2075450107392 is an frugal number, since it uses more digits than its factorization.

2075450107392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187555 (or 187527 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 2075450107392 in words is "two trillion, seventy-five billion, four hundred fifty million, one hundred seven thousand, three hundred ninety-two".