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5132186784 = 253322925939
BaseRepresentation
bin1001100011110011…
…01111010010100000
3111020200010002202000
410301321233102200
541002314434114
62205132324000
7241115603454
oct46171572240
914220102660
105132186784
1121a3a9298a
12bb2913600
1363a36181a
14369870664
15200867e09
hex131e6f4a0

5132186784 has 96 divisors (see below), whose sum is σ = 15034824000. Its totient is φ = 1703192832.

The previous prime is 5132186747. The next prime is 5132186809. The reversal of 5132186784 is 4876812315.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184887 + ... + 210825.

It is an arithmetic number, because the mean of its divisors is an integer number (156612750).

Almost surely, 25132186784 is an apocalyptic number.

5132186784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5132186784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7517412000).

5132186784 is an abundant number, since it is smaller than the sum of its proper divisors (9902637216).

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

5132186784 is a wasteful number, since it uses less digits than its factorization.

5132186784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26187 (or 26173 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 5132186784 is about 71639.2824084664. The cubic root of 5132186784 is about 1724.9141492246.

The spelling of 5132186784 in words is "five billion, one hundred thirty-two million, one hundred eighty-six thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 229 288 432 458 687 864 916 1374 1832 2061 2748 3664 4122 5496 6183 7328 8244 10992 12366 16488 21984 24732 25939 32976 49464 51878 65952 77817 98928 103756 155634 197856 207512 233451 311268 415024 466902 622536 700353 830048 933804 1245072 1400706 1867608 2490144 2801412 3735216 5602824 5940031 7470432 11205648 11880062 17820093 22411296 23760124 35640186 47520248 53460279 71280372 95040496 106920558 142560744 160380837 190080992 213841116 285121488 320761674 427682232 570242976 641523348 855364464 1283046696 1710728928 2566093392 5132186784