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57978918752 = 2547277139169
BaseRepresentation
bin110101111111110100…
…000001011101100000
312112122122120020111012
4311333310001131200
51422220100400002
642345105240052
74121525451356
oct657764013540
9175578506435
1057978918752
1122652651887
12b2a1033028
13560cb11521
142b402ab7d6
1517950c8d52
hexd7fd01760

57978918752 has 48 divisors (see below), whose sum is σ = 116996322240. Its totient is φ = 28270030848.

The previous prime is 57978918737. The next prime is 57978918821. The reversal of 57978918752 is 25781987975.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 347024 + ... + 486192.

It is an arithmetic number, because the mean of its divisors is an integer number (2437423380).

Almost surely, 257978918752 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 57978918752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58498161120).

57978918752 is an abundant number, since it is smaller than the sum of its proper divisors (59017403488).

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

57978918752 is a wasteful number, since it uses less digits than its factorization.

57978918752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139503 (or 139495 counting only the distinct ones).

The product of its digits is 88905600, while the sum is 68.

The spelling of 57978918752 in words is "fifty-seven billion, nine hundred seventy-eight million, nine hundred eighteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 32 47 94 188 277 376 554 752 1108 1504 2216 4432 8864 13019 26038 52076 104152 139169 208304 278338 416608 556676 1113352 2226704 4453408 6540943 13081886 26163772 38549813 52327544 77099626 104655088 154199252 209310176 308398504 616797008 1233594016 1811841211 3623682422 7247364844 14494729688 28989459376 57978918752