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30642403763151 = 3231863127264663
BaseRepresentation
bin1101111011110011111011…
…00101110110001111001111
311000111101101210201011121200
412331321331211312033033
513004021120330410101
6145100532001200543
76311561221313655
oct675717545661717
9130441353634550
1030642403763151
119844409095504
12352a853030153
13141374915476b
1477d15915add5
1538212c699986
hex1bde7d9763cf

30642403763151 has 24 divisors (see below), whose sum is σ = 45741974593536. Its totient is φ = 19746384955920.

The previous prime is 30642403763149. The next prime is 30642403763171. The reversal of 30642403763151 is 15136730424603.

30642403763151 is a `hidden beast` number, since 3 + 0 + 6 + 4 + 2 + 4 + 0 + 3 + 7 + 631 + 5 + 1 = 666.

It is not a de Polignac number, because 30642403763151 - 21 = 30642403763149 is a prime.

It is a super-2 number, since 2×306424037631512 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30642403763097 and 30642403763106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30642403763171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63391555 + ... + 63873108.

It is an arithmetic number, because the mean of its divisors is an integer number (1905915608064).

Almost surely, 230642403763151 is an apocalyptic number.

30642403763151 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

30642403763151 is a deficient number, since it is larger than the sum of its proper divisors (15099570830385).

30642403763151 is a wasteful number, since it uses less digits than its factorization.

30642403763151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127265563 (or 127265560 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 30642403763151 in words is "thirty trillion, six hundred forty-two billion, four hundred three million, seven hundred sixty-three thousand, one hundred fifty-one".

Divisors: 1 3 9 31 93 279 863 2589 7767 26753 80259 240777 127264663 381793989 1145381967 3945204553 11835613659 35506840977 109829404169 329488212507 988464637521 3404711529239 10214134587717 30642403763151