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2078792640 = 263351714153
BaseRepresentation
bin111101111100111…
…1101101111000000
312100212121121102000
41323321331233000
513224132331030
6542135424000
7102341305641
oct17371755700
95325547360
102078792640
11977473751
124a0225000
132718a4022
1415a1296c8
15c2778860
hex7be7dbc0

2078792640 has 224 divisors, whose sum is σ = 7765450560. Its totient is φ = 521699328.

The previous prime is 2078792633. The next prime is 2078792663. The reversal of 2078792640 is 462978702.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139804 + ... + 153956.

It is an arithmetic number, because the mean of its divisors is an integer number (34667190).

Almost surely, 22078792640 is an apocalyptic number.

2078792640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2078792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3882725280).

2078792640 is an abundant number, since it is smaller than the sum of its proper divisors (5686657920).

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

2078792640 is a wasteful number, since it uses less digits than its factorization.

2078792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14196 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 2078792640 is about 45593.7785229520. The cubic root of 2078792640 is about 1276.2538254169.

The spelling of 2078792640 in words is "two billion, seventy-eight million, seven hundred ninety-two thousand, six hundred forty".