Search a number
-
+
380071188640 = 255111326096367
BaseRepresentation
bin1011000011111100000…
…00100001100010100000
31100100000210222212012101
411201332000201202200
522211341211014030
6450334032340144
736313342541113
oct5417600414240
91310023885171
10380071188640
11137207306470
12617b10a4654
1329ac092a280
141457752c57a
159d470407ca
hex587e0218a0

380071188640 has 192 divisors, whose sum is σ = 1055466961920. Its totient is φ = 127507415040.

The previous prime is 380071188617. The next prime is 380071188641. The reversal of 380071188640 is 46881170083.

It is not an unprimeable number, because it can be changed into a prime (380071188641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59690737 + ... + 59697103.

It is an arithmetic number, because the mean of its divisors is an integer number (5497223760).

Almost surely, 2380071188640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 380071188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527733480960).

380071188640 is an abundant number, since it is smaller than the sum of its proper divisors (675395773280).

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

380071188640 is a wasteful number, since it uses less digits than its factorization.

380071188640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9015 (or 9007 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

It can be divided in two parts, 380071 and 188640, that added together give a triangular number (568711 = T1066).

The spelling of 380071188640 in words is "three hundred eighty billion, seventy-one million, one hundred eighty-eight thousand, six hundred forty".