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5706719616 = 273131960167
BaseRepresentation
bin1010101000010010…
…11010000110000000
3112201201012101121210
411110021122012000
543141410011431
62342134450120
7261263213343
oct52411320600
915651171553
105706719616
112469326a04
121133203940
136cc3b1690
143c1ca845a
15236004d46
hex15425a180

5706719616 has 128 divisors (see below), whose sum is σ = 17183980800. Its totient is φ = 1663469568.

The previous prime is 5706719611. The next prime is 5706719639. The reversal of 5706719616 is 6169176075.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5706719611) 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 15 ways as a sum of consecutive naturals, for example, 64765 + ... + 124931.

It is an arithmetic number, because the mean of its divisors is an integer number (134249850).

Almost surely, 25706719616 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 5706719616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8591990400).

5706719616 is an abundant number, since it is smaller than the sum of its proper divisors (11477261184).

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

5706719616 is a wasteful number, since it uses less digits than its factorization.

5706719616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60216 (or 60204 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 48.

The square root of 5706719616 is about 75542.8329889739. The cubic root of 5706719616 is about 1787.0176627805.

The spelling of 5706719616 in words is "five billion, seven hundred six million, seven hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 128 152 156 192 208 228 247 304 312 384 416 456 494 608 624 741 832 912 988 1216 1248 1482 1664 1824 1976 2432 2496 2964 3648 3952 4992 5928 7296 7904 11856 15808 23712 31616 47424 60167 94848 120334 180501 240668 361002 481336 722004 782171 962672 1143173 1444008 1564342 1925344 2286346 2346513 2888016 3128684 3429519 3850688 4572692 4693026 5776032 6257368 6859038 7701376 9145384 9386052 11552064 12514736 13718076 14861249 18290768 18772104 23104128 25029472 27436152 29722498 36581536 37544208 44583747 50058944 54872304 59444996 73163072 75088416 89167494 100117888 109744608 118889992 146326144 150176832 178334988 219489216 237779984 300353664 356669976 438978432 475559968 713339952 951119936 1426679904 1902239872 2853359808 5706719616