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2078732144 = 24414373693
BaseRepresentation
bin111101111100110…
…1110111101110000
312100212111112102102
41323321232331300
513224123412034
6542134235532
7102340634366
oct17371567560
95325445372
102078732144
11977432255
124a01b5ba8
13271882628
1415a111636
15c276597e
hex7be6ef70

2078732144 has 40 divisors (see below), whose sum is σ = 4221781872. Its totient is φ = 990420480.

The previous prime is 2078732141. The next prime is 2078732147. The reversal of 2078732144 is 4412378702.

It is an interprime number because it is at equal distance from previous prime (2078732141) and next prime (2078732147).

It is a super-2 number, since 2×20787321442 = 8642254652997673472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2078732098 and 2078732107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2078732141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8639 + ... + 65054.

Almost surely, 22078732144 is an apocalyptic number.

It is an amenable number.

2078732144 is an abundant number, since it is smaller than the sum of its proper divisors (2143049728).

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

2078732144 is a wasteful number, since it uses less digits than its factorization.

2078732144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73785 (or 73779 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 38.

The square root of 2078732144 is about 45593.1150942771. The cubic root of 2078732144 is about 1276.2414449933.

The spelling of 2078732144 in words is "two billion, seventy-eight million, seven hundred thirty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 41 43 82 86 164 172 328 344 656 688 1763 3526 7052 14104 28208 73693 147386 294772 589544 1179088 3021413 3168799 6042826 6337598 12085652 12675196 24171304 25350392 48342608 50700784 129920759 259841518 519683036 1039366072 2078732144