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30416123772 = 22322336734449
BaseRepresentation
bin11100010100111100…
…010011011101111100
32220111202022011212200
4130110330103131330
5444243011430042
621550055031500
72124511533456
oct342474233574
986452264780
1030416123772
1111999121a81
125a8a36b590
132b39660698
1416878092d6
15bd0424c4c
hex714f1377c

30416123772 has 36 divisors (see below), whose sum is σ = 80228038800. Its totient is φ = 9697894272.

The previous prime is 30416123747. The next prime is 30416123779. The reversal of 30416123772 is 27732161403.

30416123772 is a `hidden beast` number, since 3 + 0 + 4 + 1 + 612 + 37 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30416123779) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18366397 + ... + 18368052.

Almost surely, 230416123772 is an apocalyptic number.

It is an amenable number.

30416123772 is an abundant number, since it is smaller than the sum of its proper divisors (49811915028).

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

30416123772 is a wasteful number, since it uses less digits than its factorization.

30416123772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36734482 (or 36734477 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 30416123772 in words is "thirty billion, four hundred sixteen million, one hundred twenty-three thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 36734449 73468898 110203347 146937796 220406694 330610041 440813388 661220082 844892327 1322440164 1689784654 2534676981 3379569308 5069353962 7604030943 10138707924 15208061886 30416123772