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1640407654655 = 571122973182969
BaseRepresentation
bin10111110111101111111…
…010100110000011111111
312210211011211102000112022
4113313233322212003333
5203334023324422110
63253332021030355
7226341555000260
oct27675772460377
95724154360468
101640407654655
115827693a0500
12225b092553bb
13bb8c759a073
1459579092967
152ca0dc92755
hex17defea60ff

1640407654655 has 96 divisors (see below), whose sum is σ = 2593138665600. Its totient is φ = 973799608320.

The previous prime is 1640407654651. The next prime is 1640407654681. The reversal of 1640407654655 is 5564567040461.

It is a Cunningham number, because it is equal to 12807842-1.

It is not a de Polignac number, because 1640407654655 - 22 = 1640407654651 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1640407654597 and 1640407654606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1640407654651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8874011 + ... + 9056979.

It is an arithmetic number, because the mean of its divisors is an integer number (27011861100).

Almost surely, 21640407654655 is an apocalyptic number.

1640407654655 is a deficient number, since it is larger than the sum of its proper divisors (952731010945).

1640407654655 is a wasteful number, since it uses less digits than its factorization.

1640407654655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183105 (or 183094 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 53.

The spelling of 1640407654655 in words is "one trillion, six hundred forty billion, four hundred seven million, six hundred fifty-four thousand, six hundred fifty-five".

Divisors: 1 5 7 11 29 35 55 73 77 121 145 203 319 365 385 511 605 803 847 1015 1595 2117 2233 2555 3509 4015 4235 5621 8833 10585 11165 14819 17545 23287 24563 28105 44165 61831 74095 116435 122815 163009 182969 256157 309155 815045 914845 1280783 1280785 1793099 2012659 5306101 6403915 8965495 10063295 13356737 14088613 22139249 26530505 37142707 58367111 66783685 70443065 93497159 110696245 146924107 154974743 185713535 291835555 387345373 408569777 467485795 642038221 734620535 774873715 1028468749 1616165177 1936726865 2042848885 2711417611 3210191105 4260799103 4494267547 5142343745 8080825885 11313156239 13557088055 21303995515 22471337735 29825593721 46868790133 56565781195 149127968605 234343950665 328081530931 1640407654655