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40820546052 = 223311132643133
BaseRepresentation
bin100110000001000110…
…000001101000000100
310220100212001121002000
4212001012001220010
51132100024433202
630430325545300
72643366626226
oct460106015004
9126325047060
1040820546052
1116348152480
127ab2875230
133b0707a280
141d93564416
1510dda6b91c
hex981181a04

40820546052 has 96 divisors (see below), whose sum is σ = 124333023360. Its totient is φ = 11418330240.

The previous prime is 40820546033. The next prime is 40820546059. The reversal of 40820546052 is 25064502804.

It is a happy number.

40820546052 is a `hidden beast` number, since 40 + 8 + 2 + 0 + 5 + 4 + 605 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40820545998 and 40820546016.

It is not an unprimeable number, because it can be changed into a prime (40820546059) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1306123 + ... + 1337010.

It is an arithmetic number, because the mean of its divisors is an integer number (1295135660).

Almost surely, 240820546052 is an apocalyptic number.

It is an amenable number.

40820546052 is an abundant number, since it is smaller than the sum of its proper divisors (83512477308).

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

40820546052 is a wasteful number, since it uses less digits than its factorization.

40820546052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643170 (or 2643162 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 40820546052 in words is "forty billion, eight hundred twenty million, five hundred forty-six thousand, fifty-two".

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 27 33 36 39 44 52 54 66 78 99 108 117 132 143 156 198 234 286 297 351 396 429 468 572 594 702 858 1188 1287 1404 1716 2574 3861 5148 7722 15444 2643133 5286266 7929399 10572532 15858798 23788197 29074463 31717596 34360729 47576394 58148926 68721458 71364591 87223389 95152788 103082187 116297852 137442916 142729182 174446778 206164374 261670167 285458364 309246561 348893556 377968019 412328748 523340334 618493122 755936038 785010501 927739683 1046680668 1133904057 1236986244 1511872076 1570021002 1855479366 2267808114 3140042004 3401712171 3710958732 4535616228 6803424342 10205136513 13606848684 20410273026 40820546052