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2793155378112 = 26321117139197947
BaseRepresentation
bin101000101001010101000…
…010001011101111000000
3100220000121210121202212100
4220221111002023233000
5331230340234044422
65535054033230400
7405540664660161
oct50512502135700
910800553552770
102793155378112
11987630436880
123913ba102400
1317351646a908
1499291b83768
154c9ca4487ac
hex28a5508bbc0

2793155378112 has 672 divisors, whose sum is σ = 9371354952960. Its totient is φ = 786045173760.

The previous prime is 2793155378087. The next prime is 2793155378113. The reversal of 2793155378112 is 2118735513972.

2793155378112 is a `hidden beast` number, since 2 + 7 + 9 + 3 + 1 + 553 + 7 + 81 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2793155378113) 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 95 ways as a sum of consecutive naturals, for example, 2949477223 + ... + 2949478169.

It is an arithmetic number, because the mean of its divisors is an integer number (13945468680).

Almost surely, 22793155378112 is an apocalyptic number.

2793155378112 is a gapful number since it is divisible by the number (22) 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 2793155378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4685677476480).

2793155378112 is an abundant number, since it is smaller than the sum of its proper divisors (6578199574848).

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

2793155378112 is a wasteful number, since it uses less digits than its factorization.

2793155378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1316 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 2793155378112 in words is "two trillion, seven hundred ninety-three billion, one hundred fifty-five million, three hundred seventy-eight thousand, one hundred twelve".