Search a number
-
+
27539344140 = 2235711173111311
BaseRepresentation
bin11001101001011110…
…010000101100001100
32122002021010122002220
4121221132100230030
5422400033003030
620352411415340
71663310364030
oct315136205414
978067118086
1027539344140
1110752272950
125406a54550
13279b65cb09
14149371a1c0
15ab2ac0a10
hex669790b0c

27539344140 has 384 divisors, whose sum is σ = 105085403136. Its totient is φ = 5211648000.

The previous prime is 27539344139. The next prime is 27539344181. The reversal of 27539344140 is 4144393572.

It is a happy number.

It is a super-2 number, since 2×275393441402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 27539344092 and 27539344101.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2429085 + ... + 2440395.

It is an arithmetic number, because the mean of its divisors is an integer number (273659904).

Almost surely, 227539344140 is an apocalyptic number.

27539344140 is a gapful number since it is divisible by the number (20) 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 27539344140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52542701568).

27539344140 is an abundant number, since it is smaller than the sum of its proper divisors (77546058996).

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

27539344140 is a wasteful number, since it uses less digits than its factorization.

27539344140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11389 (or 11387 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 27539344140 in words is "twenty-seven billion, five hundred thirty-nine million, three hundred forty-four thousand, one hundred forty".