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380514797280 = 253353122712517
BaseRepresentation
bin1011000100110000111…
…00110000011011100000
31100101011201201111212000
411202120130300123200
522213243242003110
6450450040404000
736330340260552
oct5423034603340
91311151644760
10380514797280
11137414757182
12618b5776600
1329b617c9aa7
14145ba4054d2
159d70e6a1c0
hex58987306e0

380514797280 has 384 divisors, whose sum is σ = 1380929679360. Its totient is φ = 97756968960.

The previous prime is 380514797263. The next prime is 380514797291. The reversal of 380514797280 is 82797415083.

It is a happy number.

380514797280 is a `hidden beast` number, since 38 + 0 + 514 + 7 + 97 + 2 + 8 + 0 = 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 63 ways as a sum of consecutive naturals, for example, 30393582 + ... + 30406098.

It is an arithmetic number, because the mean of its divisors is an integer number (3596171040).

Almost surely, 2380514797280 is an apocalyptic number.

380514797280 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 380514797280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690464839680).

380514797280 is an abundant number, since it is smaller than the sum of its proper divisors (1000414882080).

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

380514797280 is a wasteful number, since it uses less digits than its factorization.

380514797280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12799 (or 12785 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 380514797280 in words is "three hundred eighty billion, five hundred fourteen million, seven hundred ninety-seven thousand, two hundred eighty".