Search a number
-
+
388059227136 = 21036721032
BaseRepresentation
bin1011010010110100010…
…00011110010000000000
31101002122111220021000000
411221122020132100000
522324221130232021
6454134424000000
740015320002100
oct5513210362000
91332574807000
10388059227136
1113a636353a79
1263260300000
132a794842a79
1414ad43a1200
15a163476b26
hex5a5a21e400

388059227136 has 693 divisors, whose sum is σ = 1366230464811. Its totient is φ = 109797617664.

The previous prime is 388059227123. The next prime is 388059227161. The reversal of 388059227136 is 631722950883.

The square root of 388059227136 is 622944.

It is a perfect power (a square), and thus also a powerful number.

388059227136 is a `hidden beast` number, since 38 + 8 + 0 + 592 + 2 + 7 + 13 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3767565261 + ... + 3767565363.

Almost surely, 2388059227136 is an apocalyptic number.

388059227136 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

388059227136 is the 622944-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 388059227136

388059227136 is an abundant number, since it is smaller than the sum of its proper divisors (978171237675).

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

388059227136 is an frugal number, since it uses more digits than its factorization.

388059227136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 388059227136 in words is "three hundred eighty-eight billion, fifty-nine million, two hundred twenty-seven thousand, one hundred thirty-six".