Search a number
-
+
5158474944 = 263719719483
BaseRepresentation
bin1001100110111100…
…00001010011000000
3111022111120200022120
410303132001103000
541031032144234
62211512004240
7241555212360
oct46336012300
914274520276
105158474944
112207908637
12bbb690680
1364293714c
1436d1549a0
15202d0c049
hex1337814c0

5158474944 has 112 divisors (see below), whose sum is σ = 15678229248. Its totient is φ = 1466293248.

The previous prime is 5158474933. The next prime is 5158474957. The reversal of 5158474944 is 4494748515.

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255027 + ... + 274509.

Almost surely, 25158474944 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 5158474944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7839114624).

5158474944 is an abundant number, since it is smaller than the sum of its proper divisors (10519754304).

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

5158474944 is a wasteful number, since it uses less digits than its factorization.

5158474944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19702 (or 19692 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 51.

The square root of 5158474944 is about 71822.5239322596. The cubic root of 5158474944 is about 1727.8542615429.

The spelling of 5158474944 in words is "five billion, one hundred fifty-eight million, four hundred seventy-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 197 224 336 394 448 591 672 788 1182 1344 1379 1576 2364 2758 3152 4137 4728 5516 6304 8274 9456 11032 12608 16548 18912 19483 22064 33096 37824 38966 44128 58449 66192 77932 88256 116898 132384 136381 155864 233796 264768 272762 311728 409143 467592 545524 623456 818286 935184 1091048 1246912 1636572 1870368 2182096 3273144 3740736 3838151 4364192 6546288 7676302 8728384 11514453 13092576 15352604 23028906 26185152 26867057 30705208 46057812 53734114 61410416 80601171 92115624 107468228 122820832 161202342 184231248 214936456 245641664 322404684 368462496 429872912 644809368 736924992 859745824 1289618736 1719491648 2579237472 5158474944