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5761252980 = 2235572337199
BaseRepresentation
bin1010101110110010…
…11011111001110100
3112212111210222100000
411113121123321310
543244340043410
62351403351300
7262524561630
oct52731337164
915774728300
105761252980
1124970936aa
121149522530
1370a796342
143c9221dc0
1523abc7dc0
hex15765be74

5761252980 has 576 divisors, whose sum is σ = 22308249600. Its totient is φ = 1219401216.

The previous prime is 5761252969. The next prime is 5761252999. The reversal of 5761252980 is 892521675.

5761252980 is a `hidden beast` number, since 5 + 7 + 612 + 5 + 29 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28950921 + ... + 28951119.

It is an arithmetic number, because the mean of its divisors is an integer number (38729600).

Almost surely, 25761252980 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 5761252980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11154124800).

5761252980 is an abundant number, since it is smaller than the sum of its proper divisors (16546996620).

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

5761252980 is a wasteful number, since it uses less digits than its factorization.

5761252980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5761252980 is about 75902.9181257216. The cubic root of 5761252980 is about 1792.6918686093.

It can be divided in two parts, 57612 and 52980, that added together give a cube (110592 = 483).

The spelling of 5761252980 in words is "five billion, seven hundred sixty-one million, two hundred fifty-two thousand, nine hundred eighty".