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640681767 = 3211192359251
BaseRepresentation
bin100110001100000…
…000011100100111
31122122120000011100
4212030000130213
52303003304032
6143324011143
721606463605
oct4614003447
91578500140
10640681767
112a9714770
1215a690ab3
13a297084b
1461136875
153b3a697c
hex26300727

640681767 has 96 divisors (see below), whose sum is σ = 1132185600. Its totient is φ = 344520000.

The previous prime is 640681757. The next prime is 640681781. The reversal of 640681767 is 767186046.

It is not a de Polignac number, because 640681767 - 216 = 640616231 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640681757) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2552392 + ... + 2552642.

It is an arithmetic number, because the mean of its divisors is an integer number (11793600).

Almost surely, 2640681767 is an apocalyptic number.

640681767 is a deficient number, since it is larger than the sum of its proper divisors (491503833).

640681767 is a wasteful number, since it uses less digits than its factorization.

640681767 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 640681767 is about 25311.6922982245. The cubic root of 640681767 is about 862.0797721011.

The spelling of 640681767 in words is "six hundred forty million, six hundred eighty-one thousand, seven hundred sixty-seven".

Divisors: 1 3 9 11 19 23 33 57 59 69 99 171 177 207 209 251 253 437 531 627 649 753 759 1121 1311 1357 1881 1947 2259 2277 2761 3363 3933 4071 4769 4807 5773 5841 8283 10089 12213 12331 14307 14421 14809 14927 17319 24849 25783 36993 42921 43263 44427 44781 51957 52459 63503 77349 109687 110979 133281 134343 157377 162899 190509 232047 281371 283613 329061 340607 472131 488697 571527 844113 850839 987183 1021821 1206557 1466091 2532339 2552517 3065463 3095081 3619671 3746677 6471533 9285243 10859013 11240031 19414599 27855729 33720093 58243797 71186863 213560589 640681767