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64144666125 = 335337213883
BaseRepresentation
bin111011101111010100…
…011110111000001101
320010120100111122211000
4323233110132320031
52022332013304000
645245002450513
74430364444261
oct735724367015
9203510448730
1064144666125
1125226aa0071
1210521b03a39
136083330a57
1431671040a1
151a06552000
hexeef51ee0d

64144666125 has 96 divisors (see below), whose sum is σ = 121897077120. Its totient is φ = 33283483200.

The previous prime is 64144666111. The next prime is 64144666133. The reversal of 64144666125 is 52166644146.

It is not a de Polignac number, because 64144666125 - 24 = 64144666109 is a prime.

It is a super-2 number, since 2×641446661252 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4613434 + ... + 4627316.

It is an arithmetic number, because the mean of its divisors is an integer number (1269761220).

Almost surely, 264144666125 is an apocalyptic number.

It is an amenable number.

64144666125 is a deficient number, since it is larger than the sum of its proper divisors (57752410995).

64144666125 is a wasteful number, since it uses less digits than its factorization.

64144666125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13981 (or 13928 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The spelling of 64144666125 in words is "sixty-four billion, one hundred forty-four million, six hundred sixty-six thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 37 45 75 111 125 135 185 225 333 375 555 675 925 999 1125 1369 1665 2775 3375 4107 4625 4995 6845 8325 12321 13875 13883 20535 24975 34225 36963 41625 41649 61605 69415 102675 124875 124947 171125 184815 208245 308025 347075 374841 513375 513671 624735 924075 1041225 1540125 1541013 1735375 1874205 2568355 3123675 4620375 4623039 5206125 7705065 9371025 12841775 13869117 15618375 19005827 23115195 38525325 46855125 57017481 64208875 69345585 95029135 115575975 171052443 192626625 285087405 346727925 475145675 513157329 577879875 855262215 1425437025 1733639625 2375728375 2565786645 4276311075 7127185125 12828933225 21381555375 64144666125