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64671125850 = 23252317516173
BaseRepresentation
bin111100001110101100…
…110001000101011010
320011221001010120210100
4330032230301011122
52024421302011400
645413130400230
74446416333262
oct741654610532
9204831116710
1064671125850
112547718a051
121064a290076
13613841b596
1431b6dc67a2
151a37895100
hexf0eb3115a

64671125850 has 144 divisors (see below), whose sum is σ = 179622503424. Its totient is φ = 16664400000.

The previous prime is 64671125747. The next prime is 64671125903. The reversal of 64671125850 is 5852117646.

64671125850 is a `hidden beast` number, since 6 + 4 + 67 + 1 + 1 + 2 + 585 + 0 = 666.

64671125850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 64671125796 and 64671125805.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10473364 + ... + 10479536.

It is an arithmetic number, because the mean of its divisors is an integer number (1247378496).

Almost surely, 264671125850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64671125850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89811251712).

64671125850 is an abundant number, since it is smaller than the sum of its proper divisors (114951377574).

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

64671125850 is a wasteful number, since it uses less digits than its factorization.

64671125850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6973 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 64671125850 in words is "sixty-four billion, six hundred seventy-one million, one hundred twenty-five thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 751 775 930 1395 1502 1550 2253 2325 2790 3755 4506 4650 6173 6759 6975 7510 11265 12346 13518 13950 18519 18775 22530 23281 30865 33795 37038 37550 46562 55557 56325 61730 67590 69843 92595 111114 112650 116405 139686 154325 168975 185190 191363 209529 232810 277785 308650 337950 349215 382726 419058 462975 555570 574089 582025 698430 925950 956815 1047645 1148178 1164050 1388925 1722267 1746075 1913630 2095290 2777850 2870445 3444534 3492150 4635923 4784075 5238225 5740890 8611335 9271846 9568150 10476450 13907769 14352225 17222670 23179615 27815538 28704450 41723307 43056675 46359230 69538845 83446614 86113350 115898075 139077690 143713613 208616535 231796150 287427226 347694225 417233070 431140839 695388450 718568065 862281678 1043082675 1293422517 1437136130 2086165350 2155704195 2586845034 3592840325 4311408390 6467112585 7185680650 10778520975 12934225170 21557041950 32335562925 64671125850