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4495456924002 = 2321122549809741
BaseRepresentation
bin100000101101010111000…
…0111001111000101100010
3120220202120010022020111200
41001122232013033011202
51042123143433032002
613321103455222030
7642533420243112
oct101325607170542
916822503266450
104495456924002
111483570267900
126072bb517916
13267bc596a055
1411781d043042
157be0cd41b1c
hex416ae1cf162

4495456924002 has 72 divisors (see below), whose sum is σ = 10710335972700. Its totient is φ = 1361723563200.

The previous prime is 4495456923931. The next prime is 4495456924003. The reversal of 4495456924002 is 2004296545944.

It is a happy number.

4495456924002 is a `hidden beast` number, since 4 + 4 + 9 + 54 + 569 + 24 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4227131888001 + 268325036001 = 2055999^2 + 518001^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 4495456924002.

It is not an unprimeable number, because it can be changed into a prime (4495456924003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5146852 + ... + 5956592.

Almost surely, 24495456924002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4495456924002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5355167986350).

4495456924002 is an abundant number, since it is smaller than the sum of its proper divisors (6214879048698).

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

4495456924002 is a wasteful number, since it uses less digits than its factorization.

4495456924002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812320 (or 812306 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 4495456924002 in words is "four trillion, four hundred ninety-five billion, four hundred fifty-six million, nine hundred twenty-four thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 1089 2178 2549 5098 7647 15294 22941 28039 45882 56078 84117 168234 252351 308429 504702 616858 809741 925287 1619482 1850574 2429223 2775861 4858446 5551722 7287669 8907151 14575338 17814302 26721453 53442906 80164359 97978661 160328718 195957322 293935983 587871966 881807949 1763615898 2064029809 4128059618 6192089427 12384178854 18576268281 22704327899 37152536562 45408655798 68112983697 136225967394 204338951091 249747606889 408677902182 499495213778 749242820667 1498485641334 2247728462001 4495456924002