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9474642468 = 22333112722283
BaseRepresentation
bin10001101001011101…
…11001001000100100
3220110022012201002000
420310232321020210
5123401002024333
64204054245300
7453535063224
oct106456711044
926408181060
109474642468
114022209135
121a05056830
13b7cbc7525
1465c48a084
153a6bd6713
hex234bb9224

9474642468 has 96 divisors (see below), whose sum is σ = 25557073920. Its totient is φ = 3032134560.

The previous prime is 9474642433. The next prime is 9474642497. The reversal of 9474642468 is 8642464749.

9474642468 is a `hidden beast` number, since 94 + 74 + 6 + 424 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414055 + ... + 436337.

It is an arithmetic number, because the mean of its divisors is an integer number (266219520).

Almost surely, 29474642468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9474642468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12778536960).

9474642468 is an abundant number, since it is smaller than the sum of its proper divisors (16082431452).

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

9474642468 is a wasteful number, since it uses less digits than its factorization.

9474642468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22454 (or 22446 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The square root of 9474642468 is about 97337.7751338092. The cubic root of 9474642468 is about 2116.0257264987.

The spelling of 9474642468 in words is "nine billion, four hundred seventy-four million, six hundred forty-two thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 127 186 254 279 372 381 508 558 762 837 1116 1143 1524 1674 2286 3348 3429 3937 4572 6858 7874 11811 13716 15748 22283 23622 35433 44566 47244 66849 70866 89132 106299 133698 141732 200547 212598 267396 401094 425196 601641 690773 802188 1203282 1381546 2072319 2406564 2763092 2829941 4144638 5659882 6216957 8289276 8489823 11319764 12433914 16979646 18650871 24867828 25469469 33959292 37301742 50938938 74603484 76408407 87728171 101877876 152816814 175456342 263184513 305633628 350912684 526369026 789553539 1052738052 1579107078 2368660617 3158214156 4737321234 9474642468