Search a number
-
+
127638750316 = 227111959336781
BaseRepresentation
bin111011011011111011…
…1001100010001101100
3110012110100211022222211
41312313313030101230
54042401010002231
6134345245220204
712136002322330
oct1666767142154
9405410738884
10127638750316
114a149824310
12208a1b61664
13c06193597c
14626ba557c0
1534c08e3eb1
hex1db7dcc46c

127638750316 has 96 divisors (see below), whose sum is σ = 293643947520. Its totient is φ = 47031321600.

The previous prime is 127638750313. The next prime is 127638750341. The reversal of 127638750316 is 613057836721.

It is a self number, because there is not a number n which added to its sum of digits gives 127638750316.

It is not an unprimeable number, because it can be changed into a prime (127638750313) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3451846 + ... + 3488626.

It is an arithmetic number, because the mean of its divisors is an integer number (3058791120).

Almost surely, 2127638750316 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 127638750316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146821973760).

127638750316 is an abundant number, since it is smaller than the sum of its proper divisors (166005197204).

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

127638750316 is a wasteful number, since it uses less digits than its factorization.

127638750316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37415 (or 37413 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 49.

The spelling of 127638750316 in words is "one hundred twenty-seven billion, six hundred thirty-eight million, seven hundred fifty thousand, three hundred sixteen".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 593 836 1186 1463 2372 2926 4151 5852 6523 8302 11267 13046 16604 22534 26092 36781 45068 45661 73562 78869 91322 123937 147124 157738 182644 247874 257467 315476 404591 495748 514934 698839 809182 867559 1029868 1397678 1618364 1735118 2795356 2832137 3470236 4891873 5664274 7687229 9783746 11328548 15374458 19567492 21811133 30748916 43622266 53810603 87244532 107621206 152677931 215242412 239922463 305355862 414411527 479844926 610711724 828823054 959689852 1657646108 1679457241 2900880689 3358914482 4558526797 5801761378 6717828964 9117053594 11603522756 18234107188 31909687579 63819375158 127638750316