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5758033056 = 253293076737
BaseRepresentation
bin1010101110011010…
…01001110010100000
3112212021202101102120
411113031021302200
543243024024211
62351210344240
7262455321246
oct52715116240
915767671376
105758033056
112495294506
12114842b080
13709c09869
143c8a24796
1523a78dd06
hex157349ca0

5758033056 has 96 divisors (see below), whose sum is σ = 15689298240. Its totient is φ = 1846849536.

The previous prime is 5758033037. The next prime is 5758033063. The reversal of 5758033056 is 6503308575.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 5758032999 and 5758033017.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 851320 + ... + 858056.

It is an arithmetic number, because the mean of its divisors is an integer number (163430190).

Almost surely, 25758033056 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 5758033056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7844649120).

5758033056 is an abundant number, since it is smaller than the sum of its proper divisors (9931265184).

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

5758033056 is a wasteful number, since it uses less digits than its factorization.

5758033056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7086 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The square root of 5758033056 is about 75881.7043561885. The cubic root of 5758033056 is about 1792.3578320552.

The spelling of 5758033056 in words is "five billion, seven hundred fifty-eight million, thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 307 348 464 614 696 921 928 1228 1392 1842 2456 2784 3684 4912 6737 7368 8903 9824 13474 14736 17806 20211 26709 26948 29472 35612 40422 53418 53896 71224 80844 106836 107792 142448 161688 195373 213672 215584 284896 323376 390746 427344 586119 646752 781492 854688 1172238 1562984 2068259 2344476 3125968 4136518 4688952 6204777 6251936 8273036 9377904 12409554 16546072 18755808 24819108 33092144 49638216 59979511 66184288 99276432 119959022 179938533 198552864 239918044 359877066 479836088 719754132 959672176 1439508264 1919344352 2879016528 5758033056