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5426433312 = 253413374091
BaseRepresentation
bin1010000110111000…
…01100110100100000
3112000011210101002120
411003130030310200
542103131331222
62254243144240
7251320631166
oct50334146440
915004711076
105426433312
112335097733
121075375080
136862c68b1
14396987236
1521b5dc15c
hex14370cd20

5426433312 has 96 divisors (see below), whose sum is σ = 14638688064. Its totient is φ = 1759027200.

The previous prime is 5426433301. The next prime is 5426433343. The reversal of 5426433312 is 2133346245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 1324387 + ... + 1328477.

It is an arithmetic number, because the mean of its divisors is an integer number (152486334).

Almost surely, 25426433312 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 5426433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319344032).

5426433312 is an abundant number, since it is smaller than the sum of its proper divisors (9212254752).

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

5426433312 is a wasteful number, since it uses less digits than its factorization.

5426433312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4474 counting only the distinct ones).

The product of its digits is 51840, while the sum is 33.

The square root of 5426433312 is about 73664.3286265476. The cubic root of 5426433312 is about 1757.2686318022.

Adding to 5426433312 its reverse (2133346245), we get a palindrome (7559779557).

The spelling of 5426433312 in words is "five billion, four hundred twenty-six million, four hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 337 492 656 674 984 1011 1312 1348 1968 2022 2696 3936 4044 4091 5392 8088 8182 10784 12273 13817 16176 16364 24546 27634 32352 32728 41451 49092 55268 65456 82902 98184 110536 130912 165804 167731 196368 221072 331608 335462 392736 442144 503193 663216 670924 1006386 1326432 1341848 1378667 2012772 2683696 2757334 4025544 4136001 5367392 5514668 8051088 8272002 11029336 16102176 16544004 22058672 33088008 44117344 56525347 66176016 113050694 132352032 169576041 226101388 339152082 452202776 678304164 904405552 1356608328 1808811104 2713216656 5426433312