Search a number
-
+
5161536744 = 2337133975953
BaseRepresentation
bin1001100111010011…
…01100110011101000
3111022201100020022120
410303221230303220
541032323133434
62212101351240
7241623224040
oct46351546350
914281306276
105161536744
112209609a51
121000708520
13643469970
1436d710720
15203214349
hex133a6cce8

5161536744 has 128 divisors (see below), whose sum is σ = 15924330240. Its totient is φ = 1357627392.

The previous prime is 5161536683. The next prime is 5161536763. The reversal of 5161536744 is 4476351615.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 5161536696 and 5161536705.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 864072 + ... + 870024.

It is an arithmetic number, because the mean of its divisors is an integer number (124408830).

Almost surely, 25161536744 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 5161536744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7962165120).

5161536744 is an abundant number, since it is smaller than the sum of its proper divisors (10762793496).

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

5161536744 is a wasteful number, since it uses less digits than its factorization.

5161536744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6379 (or 6375 counting only the distinct ones).

The product of its digits is 302400, while the sum is 42.

The square root of 5161536744 is about 71843.8358107361. The cubic root of 5161536744 is about 1728.1960484657.

The spelling of 5161536744 in words is "five billion, one hundred sixty-one million, five hundred thirty-six thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 397 546 728 794 1092 1191 1588 2184 2382 2779 3176 4764 5161 5558 5953 8337 9528 10322 11116 11906 15483 16674 17859 20644 22232 23812 30966 33348 35718 36127 41288 41671 47624 61932 66696 71436 72254 77389 83342 108381 123864 125013 142872 144508 154778 166684 216762 232167 250026 289016 309556 333368 433524 464334 500052 541723 619112 867048 928668 1000104 1083446 1625169 1857336 2166892 2363341 3250338 4333784 4726682 6500676 7090023 9453364 13001352 14180046 16543387 18906728 28360092 30723433 33086774 49630161 56720184 61446866 66173548 92170299 99260322 122893732 132347096 184340598 198520644 215064031 245787464 368681196 397041288 430128062 645192093 737362392 860256124 1290384186 1720512248 2580768372 5161536744