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5170601088 = 27336192417
BaseRepresentation
bin1001101000011000…
…10001110010000000
3111100100101202021000
410310030101302000
541042133213323
62213023532000
7242063245512
oct46414216200
914310352230
105170601088
112213740144
12100375a000
136452c1693
143709cdbb2
15203e04e43
hex134311c80

5170601088 has 128 divisors (see below), whose sum is σ = 15291432000. Its totient is φ = 1720037376.

The previous prime is 5170601069. The next prime is 5170601099. The reversal of 5170601088 is 8801060715.

5170601088 is a `hidden beast` number, since 517 + 0 + 60 + 1 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×51706010882 = 53470231222453567488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2138056 + ... + 2140472.

Almost surely, 25170601088 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 5170601088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7645716000).

5170601088 is an abundant number, since it is smaller than the sum of its proper divisors (10120830912).

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

5170601088 is a wasteful number, since it uses less digits than its factorization.

5170601088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3059 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 5170601088 is about 71906.8917976573. The cubic root of 5170601088 is about 1729.2071041052.

The spelling of 5170601088 in words is "five billion, one hundred seventy million, six hundred one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 619 864 1152 1238 1728 1857 2417 2476 3456 3714 4834 4952 5571 7251 7428 9668 9904 11142 14502 14856 16713 19336 19808 21753 22284 29004 29712 33426 38672 39616 43506 44568 58008 59424 65259 66852 77344 79232 87012 89136 116016 118848 130518 133704 154688 174024 178272 232032 237696 261036 267408 309376 348048 356544 464064 522072 534816 696096 713088 928128 1044144 1069632 1392192 1496123 2088288 2139264 2784384 2992246 4176576 4488369 5984492 8353152 8976738 11968984 13465107 17953476 23937968 26930214 35906952 40395321 47875936 53860428 71813904 80790642 95751872 107720856 143627808 161581284 191503744 215441712 287255616 323162568 430883424 574511232 646325136 861766848 1292650272 1723533696 2585300544 5170601088