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2474081420976 = 243211314310491117
BaseRepresentation
bin100100000000001010101…
…111101000011010110000
322202112000222200022212100
4210000022233220122300
5311013404320432401
65132324411100400
7343514021044164
oct44001257503260
98675028608770
102474081420976
11874285510240
1233b5b0a41700
1314c3c6a78849
1487a63734ca4
1544553491b86
hex2400abe86b0

2474081420976 has 480 divisors, whose sum is σ = 7993188403200. Its totient is φ = 707354726400.

The previous prime is 2474081420917. The next prime is 2474081420999. The reversal of 2474081420976 is 6790241804742.

2474081420976 is a `hidden beast` number, since 2 + 4 + 7 + 408 + 142 + 0 + 97 + 6 = 666.

It is a super-2 number, since 2×24740814209762 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2214933570 + ... + 2214934686.

It is an arithmetic number, because the mean of its divisors is an integer number (16652475840).

Almost surely, 22474081420976 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 2474081420976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996594201600).

2474081420976 is an abundant number, since it is smaller than the sum of its proper divisors (5519106982224).

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

2474081420976 is a wasteful number, since it uses less digits than its factorization.

2474081420976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2265 (or 2256 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 2474081420976 in words is "two trillion, four hundred seventy-four billion, eighty-one million, four hundred twenty thousand, nine hundred seventy-six".