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380931778560 = 21135172107401
BaseRepresentation
bin1011000101100010100…
…11011010100000000000
31100102020210100100122010
411202301103122200000
522220122013403220
6450555254012520
736343562456454
oct5426123324000
91312223310563
10380931778560
11137609070403
12619b1347140
1329bca005788
141461994a664
159d978851e0
hex58b14da800

380931778560 has 576 divisors, whose sum is σ = 1309945815360. Its totient is φ = 94476697600.

The previous prime is 380931778541. The next prime is 380931778571. The reversal of 380931778560 is 65877139083.

It is a self number, because there is not a number n which added to its sum of digits gives 380931778560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 949954360 + ... + 949954760.

It is an arithmetic number, because the mean of its divisors is an integer number (2274211485).

Almost surely, 2380931778560 is an apocalyptic number.

380931778560 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 380931778560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654972907680).

380931778560 is an abundant number, since it is smaller than the sum of its proper divisors (929014036800).

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

380931778560 is a wasteful number, since it uses less digits than its factorization.

380931778560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 57.

The spelling of 380931778560 in words is "three hundred eighty billion, nine hundred thirty-one million, seven hundred seventy-eight thousand, five hundred sixty".