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2422601828352 = 211324171163277
BaseRepresentation
bin100011010000001110010…
…100100100100000000000
322120121011021202001201200
4203100032110210200000
5304142442032001402
65052532232501200
7340012221530256
oct43201624444000
98517137661650
102422601828352
11854468636372
1233162454a800
131475b1610534
148537c6d45d6
154303dc8421c
hex2340e524800

2422601828352 has 576 divisors, whose sum is σ = 7339520522880. Its totient is φ = 769189478400.

The previous prime is 2422601828299. The next prime is 2422601828377. The reversal of 2422601828352 is 2538281062242.

2422601828352 is a `hidden beast` number, since 2 + 4 + 2 + 2 + 601 + 8 + 2 + 8 + 35 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 2422601828298 and 2422601828307.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8745854838 + ... + 8745855114.

It is an arithmetic number, because the mean of its divisors is an integer number (12742223130).

Almost surely, 22422601828352 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 2422601828352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3669760261440).

2422601828352 is an abundant number, since it is smaller than the sum of its proper divisors (4916918694528).

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

2422601828352 is a wasteful number, since it uses less digits than its factorization.

2422601828352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 557 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2422601828352 in words is "two trillion, four hundred twenty-two billion, six hundred one million, eight hundred twenty-eight thousand, three hundred fifty-two".