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8042248428450 = 2352232101351587
BaseRepresentation
bin111010100000111101101…
…0111000101101110100010
31001110211110010020221100120
41311001323113011232202
52023231011044202300
625034320302301110
71460014261510065
oct165017327055642
931424403227316
108042248428450
112620775638905
12a9a784887796
134644c4733052
141db3656d28dc
15de2e60333a0
hex7507b5c5ba2

8042248428450 has 72 divisors (see below), whose sum is σ = 20849643277008. Its totient is φ = 2051356100640.

The previous prime is 8042248428449. The next prime is 8042248428479. The reversal of 8042248428450 is 548248422408.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8042248428393 and 8042248428402.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 50596444 + ... + 50755143.

Almost surely, 28042248428450 is an apocalyptic number.

8042248428450 is an abundant number, since it is smaller than the sum of its proper divisors (12807394848558).

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

8042248428450 is a wasteful number, since it uses less digits than its factorization.

8042248428450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101351648 (or 101351620 counting only the distinct ones).

The product of its (nonzero) digits is 5242880, while the sum is 51.

The spelling of 8042248428450 in words is "eight trillion, forty-two billion, two hundred forty-eight million, four hundred twenty-eight thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 529 575 690 1058 1150 1587 1725 2645 3174 3450 5290 7935 13225 15870 26450 39675 79350 101351587 202703174 304054761 506757935 608109522 1013515870 1520273805 2331086501 2533789675 3040547610 4662173002 5067579350 6993259503 7601369025 11655432505 13986519006 15202738050 23310865010 34966297515 53614989523 58277162525 69932595030 107229979046 116554325050 160844968569 174831487575 268074947615 321689937138 349662975150 536149895230 804224842845 1340374738075 1608449685690 2680749476150 4021124214225 8042248428450