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2539142464 = 26374126153
BaseRepresentation
bin1001011101011000…
…0011110101000000
320112221211210122111
42113112003311000
520200010024324
61055542345104
7116631232465
oct22726036500
96487753574
102539142464
111093309351
125aa42b194
13316085881
141a131d66c
15ecdad794
hex97583d40

2539142464 has 56 divisors (see below), whose sum is σ = 5301206568. Its totient is φ = 1205084160.

The previous prime is 2539142449. The next prime is 2539142471. The reversal of 2539142464 is 4642419352.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 39942400 + 2499200064 = 6320^2 + 49992^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84012 + ... + 110164.

It is an arithmetic number, because the mean of its divisors is an integer number (94664403).

Almost surely, 22539142464 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 2539142464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650603284).

2539142464 is an abundant number, since it is smaller than the sum of its proper divisors (2762064104).

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

2539142464 is a wasteful number, since it uses less digits than its factorization.

2539142464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26243 (or 26233 counting only the distinct ones).

The product of its digits is 207360, while the sum is 40.

The square root of 2539142464 is about 50389.9043857001. The cubic root of 2539142464 is about 1364.2554252581.

The spelling of 2539142464 in words is "two billion, five hundred thirty-nine million, one hundred forty-two thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 41 64 74 82 148 164 296 328 592 656 1184 1312 1517 2368 2624 3034 6068 12136 24272 26153 48544 52306 97088 104612 209224 418448 836896 967661 1072273 1673792 1935322 2144546 3870644 4289092 7741288 8578184 15482576 17156368 30965152 34312736 39674101 61930304 68625472 79348202 158696404 317392808 634785616 1269571232 2539142464