Search a number
-
+
646450455464 = 231129797317831
BaseRepresentation
bin10010110100000110111…
…00110010001110101000
32021210121020120200101122
421122003130302032220
541042412304033324
61212550352434412
764463434131302
oct11320334621650
92253536520348
10646450455464
1122a18147a270
12a5352b48a08
1348c63204908
14234073da972
1511c37cbaa5e
hex96837323a8

646450455464 has 64 divisors (see below), whose sum is σ = 1369601654400. Its totient is φ = 283351801600.

The previous prime is 646450455383. The next prime is 646450455481. The reversal of 646450455464 is 464554054646.

It is a happy number.

It is a super-2 number, since 2×6464504554642 (a number of 24 digits) contains 22 as substring.

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, 1875029 + ... + 2192859.

It is an arithmetic number, because the mean of its divisors is an integer number (21400025850).

Almost surely, 2646450455464 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 646450455464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684800827200).

646450455464 is an abundant number, since it is smaller than the sum of its proper divisors (723151198936).

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

646450455464 is a wasteful number, since it uses less digits than its factorization.

646450455464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318674 (or 318670 counting only the distinct ones).

The product of its (nonzero) digits is 27648000, while the sum is 53.

The spelling of 646450455464 in words is "six hundred forty-six billion, four hundred fifty million, four hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 797 1276 1594 2552 3188 6376 8767 17534 23113 35068 46226 70136 92452 184904 254243 317831 508486 635662 1016972 1271324 2033944 2542648 3496141 6992282 9217099 13984564 18434198 27969128 36868396 73736792 101388089 202776178 253311307 405552356 506622614 811104712 1013245228 2026490456 2786424377 5572848754 7346027903 11145697508 14692055806 22291395016 29384111612 58768223224 80806306933 161612613866 323225227732 646450455464