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57949023744 = 293247267569
BaseRepresentation
bin110101111110000001…
…111110111000000000
312112120120022102020200
4311332001332320000
51422134422224434
642342120405200
74121013401043
oct657601767000
9175516272220
1057949023744
1122637793267
12b293016800
135606875281
142b3a328c5a
151792671199
hexd7e07ee00

57949023744 has 120 divisors (see below), whose sum is σ = 170803844640. Its totient is φ = 18905284608.

The previous prime is 57949023721. The next prime is 57949023793. The reversal of 57949023744 is 44732094975.

57949023744 is a `hidden beast` number, since 579 + 4 + 9 + 0 + 23 + 7 + 44 = 666.

57949023744 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 82792 + ... + 350360.

It is an arithmetic number, because the mean of its divisors is an integer number (1423365372).

Almost surely, 257949023744 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 57949023744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85401922320).

57949023744 is an abundant number, since it is smaller than the sum of its proper divisors (112854820896).

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

57949023744 is a wasteful number, since it uses less digits than its factorization.

57949023744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267640 (or 267621 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 57949023744 in words is "fifty-seven billion, nine hundred forty-nine million, twenty-three thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 256 282 288 376 384 423 512 564 576 752 768 846 1128 1152 1504 1536 1692 2256 2304 3008 3384 4512 4608 6016 6768 9024 12032 13536 18048 24064 27072 36096 54144 72192 108288 216576 267569 535138 802707 1070276 1605414 2140552 2408121 3210828 4281104 4816242 6421656 8562208 9632484 12575743 12843312 17124416 19264968 25151486 25686624 34248832 37727229 38529936 50302972 51373248 68497664 75454458 77059872 100605944 102746496 113181687 136995328 150908916 154119744 201211888 205492992 226363374 301817832 308239488 402423776 410985984 452726748 603635664 616478976 804847552 905453496 1207271328 1232957952 1609695104 1810906992 2414542656 3219390208 3621813984 4829085312 6438780416 7243627968 9658170624 14487255936 19316341248 28974511872 57949023744