Search a number
-
+
2738820312276 = 2232324141175361
BaseRepresentation
bin100111110110101110011…
…010010110110011010100
3100200211101002121102212120
4213312232122112303110
5324333100444443101
65454110252215540
7401605343353416
oct47665632266324
910624332542776
102738820312276
11966588735694
1238297546a5b0
1316b367551999
14967b97dc9b6
154b39a1e4b36
hex27dae696cd4

2738820312276 has 48 divisors (see below), whose sum is σ = 6696102069888. Its totient is φ = 869623603200.

The previous prime is 2738820312271. The next prime is 2738820312379. The reversal of 2738820312276 is 6722130288372.

It is a super-2 number, since 2×27388203122762 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2738820312271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20521165 + ... + 20654196.

It is an arithmetic number, because the mean of its divisors is an integer number (139502126456).

Almost surely, 22738820312276 is an apocalyptic number.

It is an amenable number.

2738820312276 is an abundant number, since it is smaller than the sum of its proper divisors (3957281757612).

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

2738820312276 is a wasteful number, since it uses less digits than its factorization.

2738820312276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41175632 (or 41175630 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 2738820312276 in words is "two trillion, seven hundred thirty-eight billion, eight hundred twenty million, three hundred twelve thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 241 276 482 723 964 1446 2892 5543 11086 16629 22172 33258 66516 41175361 82350722 123526083 164701444 247052166 494104332 947033303 1894066606 2841099909 3788133212 5682199818 9923262001 11364399636 19846524002 29769786003 39693048004 59539572006 119079144012 228235026023 456470052046 684705078069 912940104092 1369410156138 2738820312276