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2468071476 = 2232135273657
BaseRepresentation
bin1001001100011011…
…1100100000110100
320101000010000120200
42103012330200310
520023311241401
61044523200500
7115106155443
oct22306744064
96330100520
102468071476
1110571866a2
1258a676130
13304430730
14195adcd5a
15e6a20686
hex931bc834

2468071476 has 36 divisors (see below), whose sum is σ = 6718640292. Its totient is φ = 759406464.

The previous prime is 2468071439. The next prime is 2468071493. The reversal of 2468071476 is 6741708642.

It can be written as a sum of positive squares in 2 ways, for example, as 237776400 + 2230295076 = 15420^2 + 47226^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2636361 + ... + 2637296.

It is an arithmetic number, because the mean of its divisors is an integer number (186628897).

Almost surely, 22468071476 is an apocalyptic number.

2468071476 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2468071476 is an abundant number, since it is smaller than the sum of its proper divisors (4250568816).

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

2468071476 is a wasteful number, since it uses less digits than its factorization.

2468071476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5273680 (or 5273675 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2468071476 is about 49679.6887671410. The cubic root of 2468071476 is about 1351.4062120929.

The spelling of 2468071476 in words is "two billion, four hundred sixty-eight million, seventy-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 5273657 10547314 15820971 21094628 31641942 47462913 63283884 68557541 94925826 137115082 189851652 205672623 274230164 411345246 617017869 822690492 1234035738 2468071476