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2078097104 = 242347137877
BaseRepresentation
bin111101111011101…
…0011111011010000
312100211022021022102
41323313103323100
513223443101404
6542112455532
7102332351066
oct17367237320
95324267272
102078097104
11977039126
1249bb4a5a8
132716bc575
14159dc8036
15c268c71e
hex7bdd3ed0

2078097104 has 80 divisors (see below), whose sum is σ = 4327008768. Its totient is φ = 964525056.

The previous prime is 2078097097. The next prime is 2078097137. The reversal of 2078097104 is 4017908702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2369114 + ... + 2369990.

Almost surely, 22078097104 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 2078097104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163504384).

2078097104 is an abundant number, since it is smaller than the sum of its proper divisors (2248911664).

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

2078097104 is a wasteful number, since it uses less digits than its factorization.

2078097104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 38.

The square root of 2078097104 is about 45586.1503529307. The cubic root of 2078097104 is about 1276.1114704293. Note that the first 3 decimals are identical.

The spelling of 2078097104 in words is "two billion, seventy-eight million, ninety-seven thousand, one hundred four".

Divisors: 1 2 4 8 16 23 46 47 92 94 137 184 188 274 368 376 548 752 877 1081 1096 1754 2162 2192 3151 3508 4324 6302 6439 7016 8648 12604 12878 14032 17296 20171 25208 25756 40342 41219 50416 51512 80684 82438 103024 120149 148097 161368 164876 240298 296194 322736 329752 480596 592388 659504 948037 961192 1184776 1896074 1922384 2369552 2763427 3792148 5526854 5647003 7584296 11053708 11294006 15168592 22107416 22588012 44214832 45176024 90352048 129881069 259762138 519524276 1039048552 2078097104