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557623193640 = 233523263768203
BaseRepresentation
bin10000001110101001110…
…11101011000000101000
31222022022201102020121120
420013110323223000220
533114003014144030
61104100224135240
755200264640422
oct10072473530050
91868281366546
10557623193640
111a5539834787
12900a2a67520
1340778350266
141cdbc173812
15e789892010
hex81d4eeb028

557623193640 has 128 divisors (see below), whose sum is σ = 1752242595840. Its totient is φ = 141693322496.

The previous prime is 557623193591. The next prime is 557623193657. The reversal of 557623193640 is 46391326755.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 341779 + ... + 1109981.

It is an arithmetic number, because the mean of its divisors is an integer number (13689395280).

Almost surely, 2557623193640 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 557623193640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876121297920).

557623193640 is an abundant number, since it is smaller than the sum of its proper divisors (1194619402200).

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

557623193640 is a wasteful number, since it uses less digits than its factorization.

557623193640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768503 (or 768499 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 51.

The spelling of 557623193640 in words is "five hundred fifty-seven billion, six hundred twenty-three million, one hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 263 276 345 460 526 552 690 789 920 1052 1315 1380 1578 2104 2630 2760 3156 3945 5260 6049 6312 7890 10520 12098 15780 18147 24196 30245 31560 36294 48392 60490 72588 90735 120980 145176 181470 241960 362940 725880 768203 1536406 2304609 3072812 3841015 4609218 6145624 7682030 9218436 11523045 15364060 17668669 18436872 23046090 30728120 35337338 46092180 53006007 70674676 88343345 92184360 106012014 141349352 176686690 202037389 212024028 265030035 353373380 404074778 424048056 530060070 606112167 706746760 808149556 1010186945 1060120140 1212224334 1616299112 2020373890 2120240280 2424448668 3030560835 4040747780 4646859947 4848897336 6061121670 8081495560 9293719894 12122243340 13940579841 18587439788 23234299735 24244486680 27881159682 37174879576 46468599470 55762319364 69702899205 92937198940 111524638728 139405798410 185874397880 278811596820 557623193640