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30747130920 = 233251121741521
BaseRepresentation
bin11100101000101010…
…111111110000101000
32221100211011002022200
4130220222333300220
51000432231142140
622043001420200
72135641205052
oct345052776050
987324132280
1030747130920
1112048a54600
125b6119a660
132b900c69bc
1416b97708d2
15bee50b030
hex728abfc28

30747130920 has 288 divisors, whose sum is σ = 116302291560. Its totient is φ = 7015219200.

The previous prime is 30747130889. The next prime is 30747130927. The reversal of 30747130920 is 2903174703.

30747130920 is a `hidden beast` number, since 307 + 47 + 1 + 309 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30336582276 + 410548644 = 174174^2 + 20262^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (30747130927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 719760 + ... + 761280.

Almost surely, 230747130920 is an apocalyptic number.

30747130920 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 30747130920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58151145780).

30747130920 is an abundant number, since it is smaller than the sum of its proper divisors (85555160640).

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

30747130920 is a wasteful number, since it uses less digits than its factorization.

30747130920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41577 (or 41559 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 30747130920 in words is "thirty billion, seven hundred forty-seven million, one hundred thirty thousand, nine hundred twenty".