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5424219648 = 29331723081
BaseRepresentation
bin1010000110100111…
…10000011000000000
3112000000121220112000
411003103300120000
542102100012043
62254123504000
7251263051311
oct50323603000
915000556460
105424219648
112333915561
121074688000
13685a00133
1439656c608
1521b3012d3
hex1434f0600

5424219648 has 160 divisors (see below), whose sum is σ = 17001277920. Its totient is φ = 1701642240.

The previous prime is 5424219629. The next prime is 5424219659. The reversal of 5424219648 is 8469124245.

It is a happy number.

5424219648 is a `hidden beast` number, since 5 + 424 + 219 + 6 + 4 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223468 + ... + 246548.

It is an arithmetic number, because the mean of its divisors is an integer number (106257987).

Almost surely, 25424219648 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 5424219648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8500638960).

5424219648 is an abundant number, since it is smaller than the sum of its proper divisors (11577058272).

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

5424219648 is a wasteful number, since it uses less digits than its factorization.

5424219648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23125 (or 23103 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 5424219648 is about 73649.3017482175. The cubic root of 5424219648 is about 1757.0296453957.

The spelling of 5424219648 in words is "five billion, four hundred twenty-four million, two hundred nineteen thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4608 4896 6528 6912 7344 8704 9792 13056 13824 14688 19584 23081 26112 29376 39168 46162 58752 69243 78336 92324 117504 138486 184648 207729 235008 276972 369296 392377 415458 553944 623187 738592 784754 830916 1107888 1177131 1246374 1477184 1569508 1661832 2215776 2354262 2492748 2954368 3139016 3323664 3531393 4431552 4708524 4985496 5908736 6278032 6647328 7062786 8863104 9417048 9970992 10594179 11817472 12556064 13294656 14125572 17726208 18834096 19941984 21188358 25112128 26589312 28251144 35452416 37668192 39883968 42376716 50224256 53178624 56502288 75336384 79767936 84753432 100448512 106357248 113004576 150672768 159535872 169506864 200897024 226009152 301345536 319071744 339013728 452018304 602691072 678027456 904036608 1356054912 1808073216 2712109824 5424219648