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5761454496 = 253721772047
BaseRepresentation
bin1010101110110100…
…01101000110100000
3112212112012012202120
411113122031012200
543244413020441
62351411544240
7262526361300
oct52732150640
915775165676
105761454496
112497211046
1211495bb080
1370a836c95
143c9275600
1523ac17966
hex15768d1a0

5761454496 has 144 divisors (see below), whose sum is σ = 18628154496. Its totient is φ = 1549277184.

The previous prime is 5761454477. The next prime is 5761454597. The reversal of 5761454496 is 6944541675.

It is a happy number.

It is a super-2 number, since 2×57614544962 = 66388715818957228032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43945 + ... + 115991.

It is an arithmetic number, because the mean of its divisors is an integer number (129362184).

Almost surely, 25761454496 is an apocalyptic number.

5761454496 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5761454496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9314077248).

5761454496 is an abundant number, since it is smaller than the sum of its proper divisors (12866700000).

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

5761454496 is a wasteful number, since it uses less digits than its factorization.

5761454496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72091 (or 72076 counting only the distinct ones).

The product of its digits is 3628800, while the sum is 51.

The square root of 5761454496 is about 75904.2455729586. The cubic root of 5761454496 is about 1792.7127698429.

The spelling of 5761454496 in words is "five billion, seven hundred sixty-one million, four hundred fifty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 49 51 56 68 84 96 98 102 112 119 136 147 168 196 204 224 238 272 294 336 357 392 408 476 544 588 672 714 784 816 833 952 1176 1428 1568 1632 1666 1904 2352 2499 2856 3332 3808 4704 4998 5712 6664 9996 11424 13328 19992 26656 39984 72047 79968 144094 216141 288188 432282 504329 576376 864564 1008658 1152752 1224799 1512987 1729128 2017316 2305504 2449598 3025974 3458256 3530303 3674397 4034632 4899196 6051948 6916512 7060606 7348794 8069264 8573593 9798392 10590909 12103896 14121212 14697588 16138528 17147186 19596784 21181818 24207792 25720779 28242424 29395176 34294372 39193568 42363636 48415584 51441558 56484848 58790352 60015151 68588744 84727272 102883116 112969696 117580704 120030302 137177488 169454544 180045453 205766232 240060604 274354976 338909088 360090906 411532464 480121208 720181812 823064928 960242416 1440363624 1920484832 2880727248 5761454496