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64460142640 = 2453196726879
BaseRepresentation
bin111100000010000111…
…111011100000110000
320011101100010112020101
4330002013323200300
52024003244031030
645340152322144
74441245113005
oct740207734060
9204340115211
1064460142640
1125379085263
12105ab6a3354
1361037ba04a
143196d858ac
151a240bb7ca
hexf021fb830

64460142640 has 80 divisors (see below), whose sum is σ = 154870087680. Its totient is φ = 24925582080.

The previous prime is 64460142623. The next prime is 64460142647. The reversal of 64460142640 is 4624106446.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 64460142640.

It is not an unprimeable number, because it can be changed into a prime (64460142647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2384721 + ... + 2411599.

It is an arithmetic number, because the mean of its divisors is an integer number (1935876096).

Almost surely, 264460142640 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 64460142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77435043840).

64460142640 is an abundant number, since it is smaller than the sum of its proper divisors (90409945040).

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

64460142640 is a wasteful number, since it uses less digits than its factorization.

64460142640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27890 (or 27884 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 37.

It can be divided in two parts, 644601 and 42640, that added together give a square (687241 = 8292).

The spelling of 64460142640 in words is "sixty-four billion, four hundred sixty million, one hundred forty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 248 310 496 620 967 1240 1934 2480 3868 4835 7736 9670 15472 19340 26879 29977 38680 53758 59954 77360 107516 119908 134395 149885 215032 239816 268790 299770 430064 479632 537580 599540 833249 1075160 1199080 1666498 2150320 2398160 3332996 4166245 6665992 8332490 13331984 16664980 25991993 33329960 51983986 66659920 103967972 129959965 207935944 259919930 415871888 519839860 805751783 1039679720 1611503566 2079359440 3223007132 4028758915 6446014264 8057517830 12892028528 16115035660 32230071320 64460142640