Search a number
-
+
5660601954 = 2373759107577
BaseRepresentation
bin1010100010110010…
…11110111001100010
3112121111102101002020
411101121132321202
543043103230304
62333410202310
7260163215460
oct52131367142
915544371066
105660601954
112445298037
12111b883396
136c2985417
143b9b01830
15231e455d9
hex15165ee62

5660601954 has 128 divisors (see below), whose sum is σ = 13663365120. Its totient is φ = 1529819136.

The previous prime is 5660601929. The next prime is 5660601977. The reversal of 5660601954 is 4591060665.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9810114 + ... + 9810690.

It is an arithmetic number, because the mean of its divisors is an integer number (106745040).

Almost surely, 25660601954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5660601954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831682560).

5660601954 is an abundant number, since it is smaller than the sum of its proper divisors (8002763166).

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

5660601954 is a wasteful number, since it uses less digits than its factorization.

5660601954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 5660601954 is about 75236.9719885111. The cubic root of 5660601954 is about 1782.1908337338.

The spelling of 5660601954 in words is "five billion, six hundred sixty million, six hundred one thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 7 14 21 37 42 59 74 107 111 118 177 214 222 259 321 354 413 518 577 642 749 777 826 1154 1239 1498 1554 1731 2183 2247 2478 3462 3959 4039 4366 4494 6313 6549 7918 8078 11877 12117 12626 13098 15281 18939 21349 23754 24234 27713 30562 34043 37878 42698 44191 45843 55426 61739 64047 68086 83139 88382 91686 102129 123478 128094 132573 149443 166278 185217 204258 233581 238301 265146 298886 370434 432173 448329 467162 476602 700743 714903 864346 896658 1259591 1296519 1401486 1429806 1635067 2284343 2519182 2593038 3270134 3642601 3778773 4568686 4905201 6853029 7285202 7557546 8817137 9810402 10927803 13706058 15990401 17634274 21855606 25498207 26451411 31980802 47971203 50996414 52902822 76494621 95942406 134776237 152989242 269552474 404328711 808657422 943433659 1886867318 2830300977 5660601954