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10320701568 = 27379521653
BaseRepresentation
bin10011001110010100…
…10110100010000000
3222122021012221222020
421213022112202000
5132114044422233
64424040241440
7513520341642
oct114712264200
928567187866
1010320701568
114416848931
122000470280
13c86285b08
146dc9a4892
1540610a9b3
hex267296880

10320701568 has 128 divisors (see below), whose sum is σ = 27857260800. Its totient is φ = 3384975360.

The previous prime is 10320701563. The next prime is 10320701591. The reversal of 10320701568 is 86510702301.

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

It is not an unprimeable number, because it can be changed into a prime (10320701563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15804730 + ... + 15805382.

It is an arithmetic number, because the mean of its divisors is an integer number (217634850).

Almost surely, 210320701568 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 10320701568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13928630400).

10320701568 is an abundant number, since it is smaller than the sum of its proper divisors (17536559232).

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

10320701568 is an equidigital number, since it uses as much as digits as its factorization.

10320701568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 10320701568 in words is "ten billion, three hundred twenty million, seven hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 316 384 474 521 632 653 948 1042 1264 1306 1563 1896 1959 2084 2528 2612 3126 3792 3918 4168 5056 5224 6252 7584 7836 8336 10112 10448 12504 15168 15672 16672 20896 25008 30336 31344 33344 41159 41792 50016 51587 62688 66688 82318 83584 100032 103174 123477 125376 154761 164636 200064 206348 246954 250752 309522 329272 340213 412696 493908 619044 658544 680426 825392 987816 1020639 1238088 1317088 1360852 1650784 1975632 2041278 2476176 2634176 2721704 3301568 3951264 4082556 4952352 5268352 5443408 6603136 7902528 8165112 9904704 10886816 15805056 16330224 19809408 21773632 26876827 32660448 43547264 53753654 65320896 80630481 107507308 130641792 161260962 215014616 322521924 430029232 645043848 860058464 1290087696 1720116928 2580175392 3440233856 5160350784 10320701568