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2055120678 = 2321337923173
BaseRepresentation
bin111101001111110…
…1010011100100110
312022020001221120200
41322133222130212
513202102330203
6535532211330
7101633144322
oct17237523446
95266057520
102055120678
11965075646
12494309b46
13269a06450
14156d26982
15c064e9a3
hex7a7ea726

2055120678 has 48 divisors (see below), whose sum is σ = 4808141520. Its totient is φ = 630649152.

The previous prime is 2055120671. The next prime is 2055120703. The reversal of 2055120678 is 8760215502.

It is a happy number.

2055120678 is a `hidden beast` number, since 20 + 551 + 20 + 67 + 8 = 666.

It is a super-2 number, since 2×20551206782 = 8447042002286359368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055120671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77100 + ... + 100272.

It is an arithmetic number, because the mean of its divisors is an integer number (100169615).

Almost surely, 22055120678 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2055120678, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2404070760).

2055120678 is an abundant number, since it is smaller than the sum of its proper divisors (2753020842).

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

2055120678 is a wasteful number, since it uses less digits than its factorization.

2055120678 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23573 (or 23570 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2055120678 is about 45333.4388503674. The cubic root of 2055120678 is about 1271.3909323020.

The spelling of 2055120678 in words is "two billion, fifty-five million, one hundred twenty thousand, six hundred seventy-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 379 758 1137 2274 3411 4927 6822 9854 14781 23173 29562 44343 46346 69519 88686 139038 208557 301249 417114 602498 903747 1807494 2711241 5422482 8782567 17565134 26347701 52695402 79043103 114173371 158086206 228346742 342520113 685040226 1027560339 2055120678