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5276268144 = 2432722723059
BaseRepresentation
bin1001110100111110…
…10111011001110000
3111121201020012012200
410322133113121300
541301211040034
62231320423200
7244515352650
oct47237273160
914551205180
105276268144
112268352394
121033017b00
1366116a774
14380a58360
1520d328a99
hex13a7d7670

5276268144 has 120 divisors (see below), whose sum is σ = 16950760320. Its totient is φ = 1500799104.

The previous prime is 5276268077. The next prime is 5276268163. The reversal of 5276268144 is 4418626725.

5276268144 is a `hidden beast` number, since 5 + 2 + 7 + 626 + 8 + 14 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5276268144.

It is a congruent number.

It is an unprimeable number.

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, 217287 + ... + 240345.

It is an arithmetic number, because the mean of its divisors is an integer number (141256336).

Almost surely, 25276268144 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 5276268144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8475380160).

5276268144 is an abundant number, since it is smaller than the sum of its proper divisors (11674492176).

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

5276268144 is a wasteful number, since it uses less digits than its factorization.

5276268144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23307 (or 23298 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 5276268144 is about 72637.9249703624. The cubic root of 5276268144 is about 1740.9071924080.

The spelling of 5276268144 in words is "five billion, two hundred seventy-six million, two hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 227 252 336 454 504 681 908 1008 1362 1589 1816 2043 2724 3178 3632 4086 4767 5448 6356 8172 9534 10896 12712 14301 16344 19068 23059 25424 28602 32688 38136 46118 57204 69177 76272 92236 114408 138354 161413 184472 207531 228816 276708 322826 368944 415062 484239 553416 645652 830124 968478 1106832 1291304 1452717 1660248 1936956 2582608 2905434 3320496 3873912 5234393 5810868 7747824 10468786 11621736 15703179 20937572 23243472 31406358 36640751 41875144 47109537 62812716 73281502 83750288 94219074 109922253 125625432 146563004 188438148 219844506 251250864 293126008 329766759 376876296 439689012 586252016 659533518 753752592 879378024 1319067036 1758756048 2638134072 5276268144