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27712229888 = 297210512
BaseRepresentation
bin11001110011110001…
…110001001000000000
32122112022110010202202
4121303301301020000
5423223312324023
620421505132332
72000510032100
oct316361611000
978468403682
1027712229888
1110830916532
12545492a0a8
1327c8412785
1414ac681200
15ac2d71128
hex673c71200

27712229888 has 90 divisors (see below), whose sum is σ = 64471732083. Its totient is φ = 11865369600.

The previous prime is 27712229863. The next prime is 27712229899. The reversal of 27712229888 is 88892221772.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 13856114944 + 13856114944 = 117712^2 + 117712^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=117712.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26366963 + ... + 26368013.

Almost surely, 227712229888 is an apocalyptic number.

27712229888 is a gapful number since it is divisible by the number (28) 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 27712229888

27712229888 is an abundant number, since it is smaller than the sum of its proper divisors (36759502195).

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

27712229888 is an frugal number, since it uses more digits than its factorization.

27712229888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2134 (or 1060 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 56.

The spelling of 27712229888 in words is "twenty-seven billion, seven hundred twelve million, two hundred twenty-nine thousand, eight hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1051 1568 1792 2102 3136 3584 4204 6272 7357 8408 12544 14714 16816 25088 29428 33632 51499 58856 67264 102998 117712 134528 205996 235424 269056 411992 470848 538112 823984 941696 1104601 1647968 1883392 2209202 3295936 3766784 4418404 6591872 7732207 8836808 13183744 15464414 17673616 26367488 30928828 35347232 54125449 61857656 70694464 108250898 123715312 141388928 216501796 247430624 282777856 433003592 494861248 565555712 866007184 989722496 1732014368 1979444992 3464028736 3958889984 6928057472 13856114944 27712229888