Search a number
-
+
388081232640 = 28325317511447
BaseRepresentation
bin1011010010110110111…
…00011010101100000000
31101002201001022020212200
411221123130122230000
522324242243421030
6454140531353200
740016005023063
oct5513334325400
91332631266780
10388081232640
1113a647814042
1263267752800
132a799278c8a
1414ad728c8da
15a165371d60
hex5a5b71ab00

388081232640 has 432 divisors, whose sum is σ = 1388838936576. Its totient is φ = 99947520000.

The previous prime is 388081232603. The next prime is 388081232657. The reversal of 388081232640 is 46232180883.

388081232640 is a `hidden beast` number, since 388 + 0 + 8 + 1 + 2 + 3 + 264 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 268196397 + ... + 268197843.

Almost surely, 2388081232640 is an apocalyptic number.

388081232640 is a gapful number since it is divisible by the number (30) 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 388081232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694419468288).

388081232640 is an abundant number, since it is smaller than the sum of its proper divisors (1000757703936).

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

388081232640 is a wasteful number, since it uses less digits than its factorization.

388081232640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 388081232640 in words is "three hundred eighty-eight billion, eighty-one million, two hundred thirty-two thousand, six hundred forty".