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640919601 = 33717434639
BaseRepresentation
bin100110001100111…
…010100000110001
31122200000002102000
4212030322200301
52303033411401
6143333044213
721611504160
oct4614724061
91580002360
10640919601
112a9867423
1215a786669
13a2a24b8a
14611993d7
153b402186
hex2633a831

640919601 has 64 divisors (see below), whose sum is σ = 1175961600. Its totient is φ = 336607488.

The previous prime is 640919599. The next prime is 640919623. The reversal of 640919601 is 106919046.

640919601 is a `hidden beast` number, since 6 + 40 + 9 + 1 + 9 + 601 = 666.

It is not a de Polignac number, because 640919601 - 21 = 640919599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (640919641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135840 + ... + 140478.

It is an arithmetic number, because the mean of its divisors is an integer number (18374400).

Almost surely, 2640919601 is an apocalyptic number.

It is an amenable number.

640919601 is a deficient number, since it is larger than the sum of its proper divisors (535041999).

640919601 is a wasteful number, since it uses less digits than its factorization.

640919601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4715 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 640919601 is about 25316.3899677659. The cubic root of 640919601 is about 862.1864327063.

The spelling of 640919601 in words is "six hundred forty million, nine hundred nineteen thousand, six hundred one".

Divisors: 1 3 7 9 17 21 27 43 51 63 119 129 153 189 301 357 387 459 731 903 1071 1161 2193 2709 3213 4639 5117 6579 8127 13917 15351 19737 32473 41751 46053 78863 97419 125253 138159 199477 236589 292257 552041 598431 709767 876771 1396339 1656123 1795293 2129301 3391109 4189017 4968369 5385879 10173327 12567051 14905107 23737763 30519981 37701153 71213289 91559943 213639867 640919601