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5664151560 = 23351914916673
BaseRepresentation
bin1010100011001110…
…00001100000001000
3112121202002201020010
411101213001200020
543100010322220
62334014231520
7260235331254
oct52147014010
915552081203
105664151560
1124472a19a1
121120ab55a0
136c3628c92
143ba387264
152323e71e0
hex1519c1808

5664151560 has 128 divisors (see below), whose sum is σ = 18007920000. Its totient is φ = 1421254656.

The previous prime is 5664151547. The next prime is 5664151567. The reversal of 5664151560 is 651514665.

It is a super-2 number, since 2×56641515602 = 64165225789300867200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5664151567) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 331384 + ... + 348056.

It is an arithmetic number, because the mean of its divisors is an integer number (140686875).

Almost surely, 25664151560 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 5664151560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9003960000).

5664151560 is an abundant number, since it is smaller than the sum of its proper divisors (12343768440).

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

5664151560 is a wasteful number, since it uses less digits than its factorization.

5664151560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16855 (or 16851 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 39.

The square root of 5664151560 is about 75260.5577975609. The cubic root of 5664151560 is about 1782.5632766581.

The spelling of 5664151560 in words is "five billion, six hundred sixty-four million, one hundred fifty-one thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 149 152 190 228 285 298 380 447 456 570 596 745 760 894 1140 1192 1490 1788 2235 2280 2831 2980 3576 4470 5662 5960 8493 8940 11324 14155 16673 16986 17880 22648 28310 33346 33972 42465 50019 56620 66692 67944 83365 84930 100038 113240 133384 166730 169860 200076 250095 316787 333460 339720 400152 500190 633574 666920 950361 1000380 1267148 1583935 1900722 2000760 2484277 2534296 3167870 3801444 4751805 4968554 6335740 7452831 7602888 9503610 9937108 12421385 12671480 14905662 19007220 19874216 24842770 29811324 37264155 38014440 47201263 49685540 59622648 74528310 94402526 99371080 141603789 149056620 188805052 236006315 283207578 298113240 377610104 472012630 566415156 708018945 944025260 1132830312 1416037890 1888050520 2832075780 5664151560