Search a number
-
+
276468312484 = 227134336772591
BaseRepresentation
bin1000000010111101100…
…10111010100110100100
3222102121112220110000001
410001132302322212210
514012201341444414
6331001403231044
725655066611360
oct4013662724644
9872545813001
10276468312484
11a7282178171
12456b8818484
13200bc871560
14d549bb02a0
1572d1877074
hex405ecba9a4

276468312484 has 96 divisors (see below), whose sum is σ = 597957728256. Its totient is φ = 108916254720.

The previous prime is 276468312481. The next prime is 276468312529. The reversal of 276468312484 is 484213864672.

276468312484 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (276468312481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106702029 + ... + 106704619.

It is an arithmetic number, because the mean of its divisors is an integer number (6228726336).

Almost surely, 2276468312484 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 276468312484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298978864128).

276468312484 is an abundant number, since it is smaller than the sum of its proper divisors (321489415772).

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

276468312484 is a wasteful number, since it uses less digits than its factorization.

276468312484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3725 (or 3723 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 55.

The spelling of 276468312484 in words is "two hundred seventy-six billion, four hundred sixty-eight million, three hundred twelve thousand, four hundred eighty-four".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 433 677 866 1354 1732 2591 2708 3031 4739 5182 5629 6062 8801 9478 10364 11258 12124 17602 18137 18956 22516 33683 35204 36274 39403 61607 67366 72548 78806 123214 134732 157612 235781 246428 293141 471562 586282 943124 1121903 1172564 1754107 2051987 2243806 3508214 3810833 4103974 4487612 7016428 7621666 7853321 8207948 12278749 14584739 15243332 15706642 22803391 24557498 26675831 29169478 31413284 45606782 49114996 53351662 58338956 91213564 102093173 106703324 159623737 204186346 319247474 408372692 638494948 759528331 1519056662 3038113324 5316698317 9873868303 10633396634 19747736606 21266793268 39495473212 69117078121 138234156242 276468312484