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64460878320 = 24351374014889
BaseRepresentation
bin111100000010001010…
…101111000111110000
320011101101111220101210
4330002022233013300
52024003441101240
645340220200120
74441254265566
oct740212570760
9204341456353
1064460878320
1125379537a63
12105ab999040
1361039b6b67
1431970d7a36
151a241b4780
hexf022af1f0

64460878320 has 160 divisors (see below), whose sum is σ = 201830564160. Its totient is φ = 17018060800.

The previous prime is 64460878297. The next prime is 64460878357. The reversal of 64460878320 is 2387806446.

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

It is a self number, because there is not a number n which added to its sum of digits gives 64460878320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13182436 + ... + 13187324.

It is an arithmetic number, because the mean of its divisors is an integer number (1261441026).

Almost surely, 264460878320 is an apocalyptic number.

64460878320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64460878320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100915282080).

64460878320 is an abundant number, since it is smaller than the sum of its proper divisors (137369685840).

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

64460878320 is a wasteful number, since it uses less digits than its factorization.

64460878320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5443 (or 5437 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 48.

The spelling of 64460878320 in words is "sixty-four billion, four hundred sixty million, eight hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 137 240 274 401 411 548 685 802 822 1096 1203 1370 1604 1644 2005 2055 2192 2406 2740 3208 3288 4010 4110 4812 4889 5480 6015 6416 6576 8020 8220 9624 9778 10960 12030 14667 16040 16440 19248 19556 24060 24445 29334 32080 32880 39112 48120 48890 54937 58668 73335 78224 96240 97780 109874 117336 146670 164811 195560 219748 234672 274685 293340 329622 391120 439496 549370 586680 659244 669793 824055 878992 1098740 1173360 1318488 1339586 1648110 1960489 2009379 2197480 2636976 2679172 3296220 3348965 3920978 4018758 4394960 5358344 5881467 6592440 6697930 7841956 8037516 9802445 10046895 10716688 11762934 13184880 13395860 15683912 16075032 19604890 20093790 23525868 26791720 29407335 31367824 32150064 39209780 40187580 47051736 53583440 58814670 78419560 80375160 94103472 117629340 156839120 160750320 235258680 268586993 470517360 537173986 805760979 1074347972 1342934965 1611521958 2148695944 2685869930 3223043916 4028804895 4297391888 5371739860 6446087832 8057609790 10743479720 12892175664 16115219580 21486959440 32230439160 64460878320