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57053239248 = 2438935937201
BaseRepresentation
bin110101001000101000…
…110101011111010000
312110021010201211221010
4311020220311133100
51413321112123443
642113200530520
74056555350325
oct651050653720
9173233654833
1057053239248
11222180800a5
12b083020a40
1354c30c6585
142a93388b4c
15173dbc8733
hexd48a357d0

57053239248 has 80 divisors (see below), whose sum is σ = 149462755200. Its totient is φ = 18751180800.

The previous prime is 57053239247. The next prime is 57053239253. The reversal of 57053239248 is 84293235075.

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

It is a junction number, because it is equal to n+sod(n) for n = 57053239197 and 57053239206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57053239241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1515048 + ... + 1552248.

It is an arithmetic number, because the mean of its divisors is an integer number (1868284440).

Almost surely, 257053239248 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 57053239248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74731377600).

57053239248 is an abundant number, since it is smaller than the sum of its proper divisors (92409515952).

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

57053239248 is a wasteful number, since it uses less digits than its factorization.

57053239248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37660 (or 37654 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 57053239248 in words is "fifty-seven billion, fifty-three million, two hundred thirty-nine thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 89 178 267 356 359 534 712 718 1068 1077 1424 1436 2136 2154 2872 4272 4308 5744 8616 17232 31951 37201 63902 74402 95853 111603 127804 148804 191706 223206 255608 297608 383412 446412 511216 595216 766824 892824 1533648 1785648 3310889 6621778 9932667 13243556 13355159 19865334 26487112 26710318 39730668 40065477 52974224 53420636 79461336 80130954 106841272 158922672 160261908 213682544 320523816 641047632 1188609151 2377218302 3565827453 4754436604 7131654906 9508873208 14263309812 19017746416 28526619624 57053239248