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2317764064 = 257113725423
BaseRepresentation
bin1000101000100110…
…0100010111100000
312222112021121120111
42022021210113200
514221321422224
61021553421104
7111302445430
oct21211442740
95875247514
102317764064
11a8a3544a0
1254826a794
132ac254935
1417db742c0
15d872ed94
hex8a2645e0

2317764064 has 96 divisors (see below), whose sum is σ = 5843045376. Its totient is φ = 878584320.

The previous prime is 2317764047. The next prime is 2317764067. The reversal of 2317764064 is 4604677132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2317764067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78457 + ... + 103879.

It is an arithmetic number, because the mean of its divisors is an integer number (60865056).

Almost surely, 22317764064 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 2317764064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2921522688).

2317764064 is an abundant number, since it is smaller than the sum of its proper divisors (3525281312).

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

2317764064 is a wasteful number, since it uses less digits than its factorization.

2317764064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25488 (or 25480 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 2317764064 is about 48143.1621728361. The cubic root of 2317764064 is about 1323.3957685027.

The spelling of 2317764064 in words is "two billion, three hundred seventeen million, seven hundred sixty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 74 77 88 112 148 154 176 224 259 296 308 352 407 518 592 616 814 1036 1184 1232 1628 2072 2464 2849 3256 4144 5698 6512 8288 11396 13024 22792 25423 45584 50846 91168 101692 177961 203384 279653 355922 406768 559306 711844 813536 940651 1118612 1423688 1881302 1957571 2237224 2847376 3762604 3915142 4474448 5694752 6584557 7525208 7830284 8948896 10347161 13169114 15050416 15660568 20694322 26338228 30100832 31321136 41388644 52676456 62642272 72430127 82777288 105352912 144860254 165554576 210705824 289720508 331109152 579441016 1158882032 2317764064