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640650023212014 = 233834091289271127
BaseRepresentation
bin1001000110101010101111010…
…1000011110001001111101110
310010000100112200122011201001000
42101222223311003301033232
51132432402221420241024
610150314320242101130
7251641302542422164
oct22152536503611756
93100315618151030
10640650023212014
11176149170434142
125ba2a32464a7a6
132166206553aa0a
14b42b8ab441234
154e0eb9d684cc9
hex246aaf50f13ee

640650023212014 has 128 divisors (see below), whose sum is σ = 1445467959936000. Its totient is φ = 210297229115904.

The previous prime is 640650023211943. The next prime is 640650023212109. The reversal of 640650023212014 is 410212320056046.

640650023212014 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 500 + 23 + 2 + 120 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 640650023212014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2362779319 + ... + 2363050445.

It is an arithmetic number, because the mean of its divisors is an integer number (11292718437000).

Almost surely, 2640650023212014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640650023212014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722733979968000).

640650023212014 is an abundant number, since it is smaller than the sum of its proper divisors (804817936723986).

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

640650023212014 is a wasteful number, since it uses less digits than its factorization.

640650023212014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272919 (or 272913 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 640650023212014 in words is "six hundred forty trillion, six hundred fifty billion, twenty-three million, two hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 409 498 747 818 1227 1289 1494 2241 2454 2578 3681 3867 4482 7362 7734 11043 11601 22086 23202 33947 34803 67894 69606 101841 106987 203682 213974 271127 305523 320961 527201 542254 611046 641922 813381 916569 962883 1054402 1581603 1626762 1833138 1925766 2440143 2888649 3163206 4744809 4880286 5777298 7320429 9489618 14234427 14640858 22503541 28468854 43757683 45007082 67510623 87515366 110890943 131273049 135021246 202531869 221781886 262546098 332672829 349482703 393819147 405063738 607595607 665345658 698965406 787638294 998018487 1048448109 1181457441 1215191214 1996036974 2096896218 2362914882 2994055461 3145344327 5988110922 6290688654 9203948269 9436032981 18407896538 18872065962 27611844807 29007064349 55223689614 58014128698 82835534421 87021193047 142938425527 165671068842 174042386094 248506603263 261063579141 285876851054 428815276581 497013206526 522127158282 783190737423 857630553162 1286445829743 1566381474846 2572891659486 3859337489229 7718674978458 11863889318741 23727778637482 35591667956223 71183335912446 106775003868669 213550007737338 320325011606007 640650023212014