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5514256512 = 27326771443
BaseRepresentation
bin1010010001010110…
…01110000010000000
3112020022001020212200
411020223032002000
542243122202022
62311101353200
7253435256412
oct51053160200
915208036780
105514256512
11237a721596
12109a868800
1369b565a9b
143a44c89b2
15224188bac
hex148ace080

5514256512 has 96 divisors (see below), whose sum is σ = 16104906480. Its totient is φ = 1810626048.

The previous prime is 5514256511. The next prime is 5514256519. The reversal of 5514256512 is 2156524155.

5514256512 is a `hidden beast` number, since 5 + 51 + 42 + 56 + 512 = 666.

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

It is a super-2 number, since 2×55142565122 = 60814049760268812288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5514256511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 41463 + ... + 112905.

Almost surely, 25514256512 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 5514256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052453240).

5514256512 is an abundant number, since it is smaller than the sum of its proper divisors (10590649968).

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

5514256512 is a wasteful number, since it uses less digits than its factorization.

5514256512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71530 (or 71515 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 5514256512 is about 74258.0400495462. The cubic root of 5514256512 is about 1766.6980170221.

The spelling of 5514256512 in words is "five billion, five hundred fourteen million, two hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 128 134 144 192 201 268 288 384 402 536 576 603 804 1072 1152 1206 1608 2144 2412 3216 4288 4824 6432 8576 9648 12864 19296 25728 38592 71443 77184 142886 214329 285772 428658 571544 642987 857316 1143088 1285974 1714632 2286176 2571948 3429264 4572352 4786681 5143896 6858528 9144704 9573362 10287792 13717056 14360043 19146724 20575584 27434112 28720086 38293448 41151168 43080129 57440172 76586896 82302336 86160258 114880344 153173792 172320516 229760688 306347584 344641032 459521376 612695168 689282064 919042752 1378564128 1838085504 2757128256 5514256512