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2075781640 = 23551894541
BaseRepresentation
bin111101110111001…
…1110101000001000
312100122221122002111
41323232132220020
513222400003030
6541551112104
7102303565342
oct17356365010
95318848074
102075781640
119757a7519
1249b212634
1327108b67a
14159984292
15c238162a
hex7bb9ea08

2075781640 has 16 divisors (see below), whose sum is σ = 4670508780. Its totient is φ = 830312640.

The previous prime is 2075781577. The next prime is 2075781641. The reversal of 2075781640 is 461875702.

It can be written as a sum of positive squares in 2 ways, for example, as 2031665476 + 44116164 = 45074^2 + 6642^2 .

It is a super-2 number, since 2×20757816402 = 8617738833922179200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 51894541 = 2075781640 / (2 + 0 + 7 + 5 + 7 + 8 + 1 + 6 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2075781593 and 2075781602.

It is not an unprimeable number, because it can be changed into a prime (2075781641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25947231 + ... + 25947310.

Almost surely, 22075781640 is an apocalyptic number.

2075781640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2075781640 is an abundant number, since it is smaller than the sum of its proper divisors (2594727140).

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

2075781640 is a wasteful number, since it uses less digits than its factorization.

2075781640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51894552 (or 51894548 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The square root of 2075781640 is about 45560.7467015193. The cubic root of 2075781640 is about 1275.6373366211.

The spelling of 2075781640 in words is "two billion, seventy-five million, seven hundred eighty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 51894541 103789082 207578164 259472705 415156328 518945410 1037890820 2075781640