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10738492380 = 22345711312777
BaseRepresentation
bin10100000000001000…
…00110001111011100
31000201101100221020000
422000010012033130
5133443023224010
64533323054300
7530052451650
oct120004061734
930641327200
1010738492380
1146106652a0
1220b8371390
1310219b6105
1473c27aa60
1542cb357c0
hex2801063dc

10738492380 has 480 divisors, whose sum is σ = 43369869312. Its totient is φ = 2158617600.

The previous prime is 10738492319. The next prime is 10738492417. The reversal of 10738492380 is 8329483701.

10738492380 is a `hidden beast` number, since 10 + 73 + 8 + 492 + 3 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 3865552 + ... + 3868328.

Almost surely, 210738492380 is an apocalyptic number.

10738492380 is a gapful number since it is divisible by the number (10) 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 10738492380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21684934656).

10738492380 is an abundant number, since it is smaller than the sum of its proper divisors (32631376932).

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

10738492380 is a wasteful number, since it uses less digits than its factorization.

10738492380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2847 (or 2836 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 10738492380 in words is "ten billion, seven hundred thirty-eight million, four hundred ninety-two thousand, three hundred eighty".