Search a number
-
+
645341823984 = 24311313777011
BaseRepresentation
bin10010110010000010101…
…11101100001111110000
32021200201222111100220110
421121001113230033300
541033130001331414
61212244350541320
764424112665454
oct11310127541760
92250658440813
10645341823984
112297626aa000
12a50a3807840
1348b17621260
1423340092664
1511bc07cc459
hex96415ec3f0

645341823984 has 160 divisors (see below), whose sum is σ = 1974779106048. Its totient is φ = 180514963200.

The previous prime is 645341823977. The next prime is 645341823991. The reversal of 645341823984 is 489328143546.

It is an interprime number because it is at equal distance from previous prime (645341823977) and next prime (645341823991).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 442039 + ... + 1219049.

Almost surely, 2645341823984 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 645341823984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987389553024).

645341823984 is an abundant number, since it is smaller than the sum of its proper divisors (1329437282064).

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

645341823984 is a wasteful number, since it uses less digits than its factorization.

645341823984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777068 (or 777040 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 57.

The spelling of 645341823984 in words is "six hundred forty-five billion, three hundred forty-one million, eight hundred twenty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 143 156 176 208 242 264 286 312 363 429 484 528 572 624 726 858 968 1144 1331 1452 1573 1716 1936 2288 2662 2904 3146 3432 3993 4719 5324 5808 6292 6864 7986 9438 10648 12584 15972 17303 18876 21296 25168 31944 34606 37752 51909 63888 69212 75504 103818 138424 207636 276848 415272 777011 830544 1554022 2331033 3108044 4662066 6216088 8547121 9324132 10101143 12432176 17094242 18648264 20202286 25641363 30303429 34188484 37296528 40404572 51282726 60606858 68376968 80809144 94018331 102565452 111112573 121213716 136753936 161618288 188036662 205130904 222225146 242427432 282054993 333337719 376073324 410261808 444450292 484854864 564109986 666675438 752146648 888900584 1034201641 1128219972 1222238303 1333350876 1504293296 1777801168 2068403282 2256439944 2444476606 2666701752 3102604923 3666714909 4136806564 4512879888 4888953212 5333403504 6205209846 7333429818 8273613128 9777906424 12410419692 13444621333 14666859636 16547226256 19555812848 24820839384 26889242666 29333719272 40333863999 49641678768 53778485332 58667438544 80667727998 107556970664 161335455996 215113941328 322670911992 645341823984