Search a number
-
+
381694481280 = 273357101157199
BaseRepresentation
bin1011000110111101100…
…00111001001110000000
31100111012221111200002000
411203132300321032000
522223202241400110
6451203101224000
736401513362530
oct5433660711600
91314187450060
10381694481280
1113796a647232
1261b84862000
1329cbc02a068
141468cd674c0
159dde7e11c0
hex58dec39380

381694481280 has 1024 divisors, whose sum is σ = 1578078720000. Its totient is φ = 85399142400.

The previous prime is 381694481269. The next prime is 381694481429. The reversal of 381694481280 is 82184496183.

It is a happy number.

381694481280 is a `hidden beast` number, since 3 + 81 + 6 + 9 + 4 + 481 + 2 + 80 = 666.

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

It is a congruent number.

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, 1918062621 + ... + 1918062819.

It is an arithmetic number, because the mean of its divisors is an integer number (1541092500).

Almost surely, 2381694481280 is an apocalyptic number.

381694481280 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 381694481280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789039360000).

381694481280 is an abundant number, since it is smaller than the sum of its proper divisors (1196384238720).

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

381694481280 is a wasteful number, since it uses less digits than its factorization.

381694481280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 474 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 381694481280 in words is "three hundred eighty-one billion, six hundred ninety-four million, four hundred eighty-one thousand, two hundred eighty".