Search a number
-
+
30466340656632 = 23323113649794201
BaseRepresentation
bin1101110110101011111110…
…11010011001010111111000
310222212112221122220122221200
412323111333122121113320
512443130031202003012
6144444013233534200
76263056215514266
oct673257732312770
9128775848818850
1030466340656632
119786780054701
1235006b7a14360
1313ccc6b0379aa
14774816169436
1537c7758ed3dc
hex1bb57f6995f8

30466340656632 has 48 divisors (see below), whose sum is σ = 85174715820480. Its totient is φ = 9827851824000.

The previous prime is 30466340656627. The next prime is 30466340656721. The reversal of 30466340656632 is 23665604366403.

30466340656632 is a `hidden beast` number, since 3 + 0 + 4 + 6 + 6 + 3 + 40 + 6 + 566 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6824894869 + ... + 6824899332.

It is an arithmetic number, because the mean of its divisors is an integer number (1774473246260).

Almost surely, 230466340656632 is an apocalyptic number.

It is an amenable number.

30466340656632 is an abundant number, since it is smaller than the sum of its proper divisors (54708375163848).

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

30466340656632 is a wasteful number, since it uses less digits than its factorization.

30466340656632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13649794244 (or 13649794237 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 54.

The spelling of 30466340656632 in words is "thirty trillion, four hundred sixty-six billion, three hundred forty million, six hundred fifty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 13649794201 27299588402 40949382603 54599176804 81898765206 109198353608 122848147809 163797530412 245696295618 327595060824 423143620231 491392591236 846287240462 982785182472 1269430860693 1692574480924 2538861721386 3385148961848 3808292582079 5077723442772 7616585164158 10155446885544 15233170328316 30466340656632