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30993329745 = 3257829118687
BaseRepresentation
bin11100110111010110…
…001010111001010001
32221222222102021121200
4130313112022321101
51001433243022440
622123234341413
72145020645640
oct346726127121
987888367550
1030993329745
1112164a21404
12600b72a869
132bcc108191
14170033b357
15c15e3dc30
hex73758ae51

30993329745 has 48 divisors (see below), whose sum is σ = 61470888960. Its totient is φ = 14151169152.

The previous prime is 30993329743. The next prime is 30993329749. The reversal of 30993329745 is 54792339903.

30993329745 is a `hidden beast` number, since 309 + 9 + 3 + 3 + 297 + 45 = 666.

It is not a de Polignac number, because 30993329745 - 21 = 30993329743 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 30993329691 and 30993329700.

It is not an unprimeable number, because it can be changed into a prime (30993329743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201792 + ... + 320478.

It is an arithmetic number, because the mean of its divisors is an integer number (1280643520).

Almost surely, 230993329745 is an apocalyptic number.

30993329745 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30993329745 is a deficient number, since it is larger than the sum of its proper divisors (30477559215).

30993329745 is a wasteful number, since it uses less digits than its factorization.

30993329745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119534 (or 119531 counting only the distinct ones).

The product of its (nonzero) digits is 5511240, while the sum is 54.

The spelling of 30993329745 in words is "thirty billion, nine hundred ninety-three million, three hundred twenty-nine thousand, seven hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 829 2487 4145 5803 7461 12435 17409 29015 37305 52227 87045 118687 261135 356061 593435 830809 1068183 1780305 2492427 4154045 5340915 7477281 12462135 37386405 98391523 295174569 491957615 688740661 885523707 1475872845 2066221983 3443703305 4427618535 6198665949 10331109915 30993329745