Search a number
-
+
57142803792 = 2434733775161
BaseRepresentation
bin110101001101111110…
…011111110101010000
312110111101021012101110
4311031332133311100
51414012024210132
642130120333320
74062023550414
oct651576376520
9173441235343
1057142803792
1122263694288
12b0a9014240
135508825249
142aa1220d44
1517469bb1cc
hexd4df9fd50

57142803792 has 80 divisors (see below), whose sum is σ = 151209107712. Its totient is φ = 18586767360.

The previous prime is 57142803769. The next prime is 57142803793. The reversal of 57142803792 is 29730824175.

It is a happy number.

It is a super-2 number, since 2×571428037922 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57142803793) 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, 722692 + ... + 797852.

Almost surely, 257142803792 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 57142803792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75604553856).

57142803792 is an abundant number, since it is smaller than the sum of its proper divisors (94066303920).

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

57142803792 is a wasteful number, since it uses less digits than its factorization.

57142803792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75556 (or 75550 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 57142803792 in words is "fifty-seven billion, one hundred forty-two million, eight hundred three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 337 376 564 674 752 1011 1128 1348 2022 2256 2696 4044 5392 8088 15839 16176 31678 47517 63356 75161 95034 126712 150322 190068 225483 253424 300644 380136 450966 601288 760272 901932 1202576 1803864 3532567 3607728 7065134 10597701 14130268 21195402 25329257 28260536 42390804 50658514 56521072 75987771 84781608 101317028 151975542 169563216 202634056 303951084 405268112 607902168 1190475079 1215804336 2380950158 3571425237 4761900316 7142850474 9523800632 14285700948 19047601264 28571401896 57142803792