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5888413696 = 2121121092
BaseRepresentation
bin1010111101111101…
…00001000000000000
3120012101002102001011
411132332201000000
544024413214241
62412145050304
7265630455604
oct53676410000
916171072034
105888413696
112551946400
121184026994
1372ac29679
143dc083504
15246e45281
hex15efa1000

5888413696 has 117 divisors (see below), whose sum is σ = 13063031373. Its totient is φ = 2651996160.

The previous prime is 5888413693. The next prime is 5888413703. The reversal of 5888413696 is 6963148885.

The square root of 5888413696 is 76736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4104196096 + 1784217600 = 64064^2 + 42240^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5888413696.

It is not an unprimeable number, because it can be changed into a prime (5888413691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54022090 + ... + 54022198.

Almost surely, 25888413696 is an apocalyptic number.

5888413696 is the 76736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5888413696

5888413696 is an abundant number, since it is smaller than the sum of its proper divisors (7174617677).

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

5888413696 is an equidigital number, since it uses as much as digits as its factorization.

5888413696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 122 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 58.

The cubic root of 5888413696 is about 1805.7852642230.

The spelling of 5888413696 in words is "five billion, eight hundred eighty-eight million, four hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 109 121 128 176 218 242 256 352 436 484 512 704 872 968 1024 1199 1408 1744 1936 2048 2398 2816 3488 3872 4096 4796 5632 6976 7744 9592 11264 11881 13189 13952 15488 19184 22528 23762 26378 27904 30976 38368 45056 47524 52756 55808 61952 76736 95048 105512 111616 123904 130691 153472 190096 211024 223232 247808 261382 306944 380192 422048 446464 495616 522764 613888 760384 844096 1045528 1227776 1437601 1520768 1688192 2091056 2455552 2875202 3041536 3376384 4182112 4911104 5750404 6083072 6752768 8364224 11500808 12166144 13505536 16728448 23001616 24332288 27011072 33456896 46003232 48664576 54022144 66913792 92006464 133827584 184012928 267655168 368025856 535310336 736051712 1472103424 2944206848 5888413696