Search a number
-
+
30746011464 = 2332761003991
BaseRepresentation
bin11100101000100110…
…101110011101001000
32221100202001012201100
4130220212232131020
51000431434331324
622042521421400
72135625533250
oct345046563510
987322035640
1030746011464
111204835a533
125b6093a860
132b8cac42bc
1416b955c960
15bee3894c9
hex7289ae748

30746011464 has 48 divisors (see below), whose sum is σ = 95166227520. Its totient is φ = 8784574560.

The previous prime is 30746011409. The next prime is 30746011469. The reversal of 30746011464 is 46411064703.

30746011464 is a `hidden beast` number, since 3 + 0 + 7 + 4 + 601 + 1 + 46 + 4 = 666.

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 (30746011469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30501492 + ... + 30502499.

It is an arithmetic number, because the mean of its divisors is an integer number (1982629740).

Almost surely, 230746011464 is an apocalyptic number.

It is an amenable number.

30746011464 is an abundant number, since it is smaller than the sum of its proper divisors (64420216056).

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

30746011464 is a wasteful number, since it uses less digits than its factorization.

30746011464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61004010 (or 61004003 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 30746011464 in words is "thirty billion, seven hundred forty-six million, eleven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 61003991 122007982 183011973 244015964 366023946 427027937 488031928 549035919 732047892 854055874 1098071838 1281083811 1464095784 1708111748 2196143676 2562167622 3416223496 3843251433 4392287352 5124335244 7686502866 10248670488 15373005732 30746011464