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43640644604634 = 23371129335821111
BaseRepresentation
bin10011110110000111000010…
…00111101001001011011010
312201112000010120001012002000
421323003201013221023122
521210002020004322014
6232452122501021430
712122634566432340
oct1173034107511332
9181460116035060
1043640644604634
11129a5991196390
124a89a236b4876
131b473ab51c67c
14aac30b69b990
1550a2d7694509
hex27b0e11e92da

43640644604634 has 128 divisors (see below), whose sum is σ = 121321807810560. Its totient is φ = 11296545249600.

The previous prime is 43640644604621. The next prime is 43640644604671.

43640644604634 is a `hidden beast` number, since 4 + 3 + 64 + 0 + 64 + 4 + 60 + 463 + 4 = 666.

43640644604634 is nontrivially palindromic in base 10.

43640644604634 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16692262 + ... + 19128849.

It is an arithmetic number, because the mean of its divisors is an integer number (947826623520).

Almost surely, 243640644604634 is an apocalyptic number.

43640644604634 is an abundant number, since it is smaller than the sum of its proper divisors (77681163205926).

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

43640644604634 is a wasteful number, since it uses less digits than its factorization.

43640644604634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35821433 (or 35821427 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 54.

It can be divided in two parts, 4364064 and 4604634, that added together give a palindrome (8968698).

The spelling of 43640644604634 in words is "forty-three trillion, six hundred forty billion, six hundred forty-four million, six hundred four thousand, six hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 293 297 378 462 586 594 693 879 1386 1758 2051 2079 2637 3223 4102 4158 5274 6153 6446 7911 9669 12306 15822 18459 19338 22561 29007 36918 45122 55377 58014 67683 87021 110754 135366 174042 203049 406098 609147 1218294 35821111 71642222 107463333 214926666 250747777 322389999 394032221 501495554 644779998 752243331 788064442 967169997 1182096663 1504486662 1934339994 2256729993 2364193326 2758225547 3546289989 4513459986 5516451094 6770189979 7092579978 8274676641 10495585523 10638869967 13540379958 16549353282 20991171046 21277739934 24824029923 31486756569 49648059846 62973513138 73469098661 74472089769 94460269707 115451440753 146938197322 148944179538 188920539414 220407295983 230902881506 283380809121 346354322259 440814591966 566761618242 661221887949 692708644518 808160085271 1039062966777 1322443775898 1616320170542 1983665663847 2078125933554 2424480255813 3117188900331 3967331327694 4848960511626 6234377800662 7273440767439 14546881534878 21820322302317 43640644604634