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380540215296 = 21333192331127
BaseRepresentation
bin1011000100110011111…
…01101110000000000000
31100101020111112212211000
411202121331232000000
522213321243342141
6450452345252000
736331066313553
oct5423175560000
91311214485730
10380540215296
111374280380aa
1261902194000
1329b66b59337
14145bd94069a
159d732db5b6
hex5899f6e000

380540215296 has 896 divisors, whose sum is σ = 1288411545600. Its totient is φ = 110361968640.

The previous prime is 380540215283. The next prime is 380540215301. The reversal of 380540215296 is 692512045083.

380540215296 is a `hidden beast` number, since 3 + 8 + 0 + 5 + 402 + 152 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2996379585 + ... + 2996379711.

Almost surely, 2380540215296 is an apocalyptic number.

380540215296 is a gapful number since it is divisible by the number (36) 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 380540215296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644205772800).

380540215296 is an abundant number, since it is smaller than the sum of its proper divisors (907871330304).

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

380540215296 is a wasteful number, since it uses less digits than its factorization.

380540215296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 380540215296 in words is "three hundred eighty billion, five hundred forty million, two hundred fifteen thousand, two hundred ninety-six".