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57534313540 = 225114127123537
BaseRepresentation
bin110101100101010011…
…111111010001000100
312111111122221221210111
4311211103333101010
51420312241013130
642233024002404
74104516411304
oct654523772104
9174448857714
1057534313540
1122444690360
12b198160404
13556b983212
142adb215604
15176b05402a
hexd654ff444

57534313540 has 96 divisors (see below), whose sum is σ = 135524648448. Its totient is φ = 20335104000.

The previous prime is 57534313489. The next prime is 57534313549. The reversal of 57534313540 is 4531343575.

It is a junction number, because it is equal to n+sod(n) for n = 57534313493 and 57534313502.

It is not an unprimeable number, because it can be changed into a prime (57534313549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2432652 + ... + 2456188.

It is an arithmetic number, because the mean of its divisors is an integer number (1411715088).

Almost surely, 257534313540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57534313540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67762324224).

57534313540 is an abundant number, since it is smaller than the sum of its proper divisors (77990334908).

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

57534313540 is a wasteful number, since it uses less digits than its factorization.

57534313540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23869 (or 23867 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 40.

The spelling of 57534313540 in words is "fifty-seven billion, five hundred thirty-four million, three hundred thirteen thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 271 410 451 542 820 902 1084 1355 1804 2255 2710 2981 4510 5420 5962 9020 11111 11924 14905 22222 23537 29810 44444 47074 55555 59620 94148 111110 117685 122221 222220 235370 244442 258907 470740 488884 517814 611105 965017 1035628 1222210 1294535 1930034 2444420 2589070 3860068 4825085 5178140 6378527 9650170 10615187 12757054 19300340 21230374 25514108 31892635 42460748 53075935 63785270 70163797 106151870 127570540 140327594 212303740 261519607 280655188 350818985 523039214 701637970 1046078428 1307598035 1403275940 2615196070 2876715677 5230392140 5753431354 11506862708 14383578385 28767156770 57534313540