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57424476760 = 2357895993847
BaseRepresentation
bin110101011110110000…
…111111101001011000
312111020000021200001121
4311132300333221120
51420101131224020
642214101455024
74102013666410
oct653660775130
9174200250047
1057424476760
1122398690362
12b167411474
135551ca7241
142aca7c3640
1517615a9baa
hexd5ec3fa58

57424476760 has 128 divisors (see below), whose sum is σ = 149610240000. Its totient is φ = 19429622784.

The previous prime is 57424476751. The next prime is 57424476779. The reversal of 57424476760 is 6767442475.

It is a junction number, because it is equal to n+sod(n) for n = 57424476698 and 57424476707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14925157 + ... + 14929003.

It is an arithmetic number, because the mean of its divisors is an integer number (1168830000).

Almost surely, 257424476760 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 57424476760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74805120000).

57424476760 is an abundant number, since it is smaller than the sum of its proper divisors (92185763240).

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

57424476760 is a wasteful number, since it uses less digits than its factorization.

57424476760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4553 (or 4549 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 52.

The spelling of 57424476760 in words is "fifty-seven billion, four hundred twenty-four million, four hundred seventy-six thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 89 140 178 280 356 445 599 623 712 890 1198 1246 1780 2396 2492 2995 3115 3560 3847 4193 4792 4984 5990 6230 7694 8386 11980 12460 15388 16772 19235 20965 23960 24920 26929 30776 33544 38470 41930 53311 53858 76940 83860 106622 107716 134645 153880 167720 213244 215432 266555 269290 342383 373177 426488 533110 538580 684766 746354 1066220 1077160 1369532 1492708 1711915 1865885 2132440 2304353 2396681 2739064 2985416 3423830 3731770 4608706 4793362 6847660 7463540 9217412 9586724 11521765 11983405 13695320 14927080 16130471 18434824 19173448 23043530 23966810 32260942 46087060 47933620 64521884 80652355 92174120 95867240 129043768 161304710 205087417 322609420 410174834 645218840 820349668 1025437085 1435611919 1640699336 2050874170 2871223838 4101748340 5742447676 7178059595 8203496680 11484895352 14356119190 28712238380 57424476760