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646129128864 = 253191513923399
BaseRepresentation
bin10010110011100000100…
…11000001010110100000
32021202202211221121011110
421121300103001112200
541041233024110424
61212454433343320
764452452656122
oct11316023012640
92252684847143
10646129128864
1122a02705989a
12a5283407b40
1348c1177a92b
14233b6875212
1511c19997c29
hex96704c15a0

646129128864 has 96 divisors (see below), whose sum is σ = 1785551040000. Its totient is φ = 204018580224.

The previous prime is 646129128839. The next prime is 646129128871. The reversal of 646129128864 is 468821921646.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27601837 + ... + 27625235.

It is an arithmetic number, because the mean of its divisors is an integer number (18599490000).

Almost surely, 2646129128864 is an apocalyptic number.

It is an amenable number.

646129128864 is an abundant number, since it is smaller than the sum of its proper divisors (1139421911136).

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

646129128864 is a wasteful number, since it uses less digits than its factorization.

646129128864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38570 (or 38562 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 57.

The spelling of 646129128864 in words is "six hundred forty-six billion, one hundred twenty-nine million, one hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 912 1824 15139 23399 30278 45417 46798 60556 70197 90834 93596 121112 140394 181668 187192 242224 280788 287641 363336 374384 444581 484448 561576 575282 726672 748768 862923 889162 1123152 1150564 1333743 1453344 1725846 1778324 2246304 2301128 2667486 3451692 3556648 4602256 5334972 6903384 7113296 9204512 10669944 13806768 14226592 21339888 27613536 42679776 354237461 708474922 1062712383 1416949844 2125424766 2833899688 4250849532 5667799376 6730511759 8501699064 11335598752 13461023518 17003398128 20191535277 26922047036 34006796256 40383070554 53844094072 80766141108 107688188144 161532282216 215376376288 323064564432 646129128864