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57378486440 = 235116710631831
BaseRepresentation
bin110101011100000001…
…100011100010101000
312111002210202010012102
4311130001203202220
51420002343031230
642205340032532
74100615042012
oct653401434250
9174083663172
1057378486440
1122374729130
12b153b32748
1355455c3c32
142ac46511b2
15175c523045
hexd5c0638a8

57378486440 has 128 divisors (see below), whose sum is σ = 143152773120. Its totient is φ = 20522937600.

The previous prime is 57378486433. The next prime is 57378486461. The reversal of 57378486440 is 4468487375.

It is a super-2 number, since 2×573784864402 (a number of 22 digits) contains 22 as substring.

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, 31336325 + ... + 31338155.

It is an arithmetic number, because the mean of its divisors is an integer number (1118381040).

Almost surely, 257378486440 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 57378486440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71576386560).

57378486440 is an abundant number, since it is smaller than the sum of its proper divisors (85774286680).

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

57378486440 is a wasteful number, since it uses less digits than its factorization.

57378486440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 56.

The spelling of 57378486440 in words is "fifty-seven billion, three hundred seventy-eight million, four hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 67 88 110 134 220 268 335 440 536 670 737 1063 1340 1474 1831 2126 2680 2948 3662 3685 4252 5315 5896 7324 7370 8504 9155 10630 11693 14648 14740 18310 20141 21260 23386 29480 36620 40282 42520 46772 58465 71221 73240 80564 93544 100705 116930 122677 142442 161128 201410 233860 245354 284884 356105 402820 467720 490708 569768 613385 712210 783431 805640 981416 1226770 1349447 1424420 1566862 1946353 2453540 2698894 2848840 3133724 3892706 3917155 4907080 5397788 6267448 6747235 7785412 7834310 9731765 10795576 13494470 15570824 15668620 19463530 21409883 26988940 31337240 38927060 42819766 53977880 77854120 85639532 107049415 130405651 171279064 214098830 260811302 428197660 521622604 652028255 856395320 1043245208 1304056510 1434462161 2608113020 2868924322 5216226040 5737848644 7172310805 11475697288 14344621610 28689243220 57378486440