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57246801024 = 2737107199039
BaseRepresentation
bin110101010100001011…
…001101110010000000
312110202121221210202210
4311110023031302000
51414220140113044
642144313342120
74064425531350
oct652413156200
9173677853683
1057246801024
1122307365a06
12b117a07940
13552423827a
142ab0d72b60
151750bb01b9
hexd542cdc80

57246801024 has 128 divisors (see below), whose sum is σ = 175409971200. Its totient is φ = 16203285504.

The previous prime is 57246801023. The next prime is 57246801061. The reversal of 57246801024 is 42010864275.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (57246801023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188097 + ... + 387135.

It is an arithmetic number, because the mean of its divisors is an integer number (1370390400).

Almost surely, 257246801024 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 57246801024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87704985600).

57246801024 is an abundant number, since it is smaller than the sum of its proper divisors (118163170176).

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

57246801024 is a wasteful number, since it uses less digits than its factorization.

57246801024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199170 (or 199158 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The spelling of 57246801024 in words is "fifty-seven billion, two hundred forty-six million, eight hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 128 168 192 214 224 321 336 384 428 448 642 672 749 856 896 1284 1344 1498 1712 2247 2568 2688 2996 3424 4494 5136 5992 6848 8988 10272 11984 13696 17976 20544 23968 35952 41088 47936 71904 95872 143808 199039 287616 398078 597117 796156 1194234 1393273 1592312 2388468 2786546 3184624 4179819 4776936 5573092 6369248 8359638 9553872 11146184 12738496 16719276 19107744 21297173 22292368 25476992 33438552 38215488 42594346 44584736 63891519 66877104 76430976 85188692 89169472 127783038 133754208 149080211 170377384 178338944 255566076 267508416 298160422 340754768 447240633 511132152 535016832 596320844 681509536 894481266 1022264304 1192641688 1363019072 1788962532 2044528608 2385283376 2726038144 3577925064 4089057216 4770566752 7155850128 8178114432 9541133504 14311700256 19082267008 28623400512 57246801024