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380348206249680 = 24365171929897823
BaseRepresentation
bin101011001111011001011011…
…1101110010111011011010000
31211212200221012110021212000000
41112132302313232113123100
5344323111111244442210
63424533315341130000
7143054152056111054
oct12636626756273320
91755627173255000
10380348206249680
1110021084a852829
12367aa044859900
131342c8b3323116
1469ccd46931c64
152de8ae2ac9ac0
hex159ecb7b976d0

380348206249680 has 2240 divisors, whose sum is σ = 1546066652544000. Its totient is φ = 86325131870208.

The previous prime is 380348206249673. The next prime is 380348206249691. The reversal of 380348206249680 is 86942602843083.

380348206249680 is a `hidden beast` number, since 3 + 8 + 0 + 3 + 4 + 8 + 2 + 0 + 62 + 496 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 48619222249 + ... + 48619230071.

Almost surely, 2380348206249680 is an apocalyptic number.

380348206249680 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 380348206249680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773033326272000).

380348206249680 is an abundant number, since it is smaller than the sum of its proper divisors (1165718446294320).

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

380348206249680 is a wasteful number, since it uses less digits than its factorization.

380348206249680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8008 (or 7987 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 63.

The spelling of 380348206249680 in words is "three hundred eighty trillion, three hundred forty-eight billion, two hundred six million, two hundred forty-nine thousand, six hundred eighty".