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57123344020400 = 2452720401194293
BaseRepresentation
bin11001111110100000100001…
…01000001111001110110000
321111020221100001122200121222
430333100100220033032300
524441402102032123100
6321254034005204212
715014011500520340
oct1477202050171660
9244227301580558
1057123344020400
1117223968551579
1264a6a78400668
1325b4928c8b758
141016adad40d20
15690d98bb0485
hex33f410a0f3b0

57123344020400 has 60 divisors (see below), whose sum is σ = 156844381732272. Its totient is φ = 19585146520320.

The previous prime is 57123344020373. The next prime is 57123344020423. The reversal of 57123344020400 is 402044332175.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10200594347 + ... + 10200599946.

Almost surely, 257123344020400 is an apocalyptic number.

57123344020400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

57123344020400 is an abundant number, since it is smaller than the sum of its proper divisors (99721037711872).

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

57123344020400 is a wasteful number, since it uses less digits than its factorization.

57123344020400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20401194318 (or 20401194307 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

Adding to 57123344020400 its reverse (402044332175), we get a palindrome (57525388352575).

The spelling of 57123344020400 in words is "fifty-seven trillion, one hundred twenty-three billion, three hundred forty-four million, twenty thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 280 350 400 560 700 1400 2800 20401194293 40802388586 81604777172 102005971465 142808360051 163209554344 204011942930 285616720102 326419108688 408023885860 510029857325 571233440204 714041800255 816047771720 1020059714650 1142466880408 1428083600510 1632095543440 2040119429300 2284933760816 2856167201020 3570209001275 4080238858600 5712334402040 7140418002550 8160477717200 11424668804080 14280836005100 28561672010200 57123344020400