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30745400832 = 29326672179
BaseRepresentation
bin11100101000100100…
…011001011000000000
32221100200220012002100
4130220210121120000
51000431310311312
622042500350400
72135620411056
oct345044313000
987320805070
1030745400832
1112047a82783
125b606a5400
132b8c93c393
1416b94401d6
15bee2b85dc
hex728919600

30745400832 has 60 divisors (see below), whose sum is σ = 88733321820. Its totient is φ = 10248465408.

The previous prime is 30745400801. The next prime is 30745400863. The reversal of 30745400832 is 23800454703.

It is a happy number.

30745400832 is a `hidden beast` number, since 30 + 7 + 4 + 540 + 0 + 83 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (30745400801) and next prime (30745400863).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3331482 + ... + 3340697.

It is an arithmetic number, because the mean of its divisors is an integer number (1478888697).

Almost surely, 230745400832 is an apocalyptic number.

30745400832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

30745400832 is an abundant number, since it is smaller than the sum of its proper divisors (57987920988).

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

30745400832 is an equidigital number, since it uses as much as digits as its factorization.

30745400832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672203 (or 6672184 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 30745400832 in words is "thirty billion, seven hundred forty-five million, four hundred thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 6672179 13344358 20016537 26688716 40033074 53377432 60049611 80066148 106754864 120099222 160132296 213509728 240198444 320264592 427019456 480396888 640529184 854038912 960793776 1281058368 1708077824 1921587552 2562116736 3416155648 3843175104 5124233472 7686350208 10248466944 15372700416 30745400832