Search a number
-
+
71003668848 = 2437898832689
BaseRepresentation
bin100001000100000100…
…1100000000101110000
320210021100221002200220
41002020021200011300
52130403414400343
652341343013040
75062352140620
oct1021011400560
9223240832626
1071003668848
11281267a1362
1211916b9a180
13690736a748
14361803a880
151ca87b9183
hex1088260170

71003668848 has 160 divisors (see below), whose sum is σ = 212304268800. Its totient is φ = 20028653568.

The previous prime is 71003668847. The next prime is 71003668891. The reversal of 71003668848 is 84886630017.

It is a self number, because there is not a number n which added to its sum of digits gives 71003668848.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71003668847) 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, 26403888 + ... + 26406576.

It is an arithmetic number, because the mean of its divisors is an integer number (1326901680).

Almost surely, 271003668848 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 71003668848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106152134400).

71003668848 is an abundant number, since it is smaller than the sum of its proper divisors (141300599952).

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

71003668848 is a wasteful number, since it uses less digits than its factorization.

71003668848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3679 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 71003668848 in words is "seventy-one billion, three million, six hundred sixty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 89 112 168 178 267 336 356 534 623 712 883 1068 1246 1424 1766 1869 2136 2492 2649 2689 3532 3738 4272 4984 5298 5378 6181 7064 7476 8067 9968 10596 10756 12362 14128 14952 16134 18543 18823 21192 21512 24724 29904 32268 37086 37646 42384 43024 49448 56469 64536 74172 75292 78587 98896 112938 129072 148344 150584 157174 225876 235761 239321 296688 301168 314348 451752 471522 478642 550109 628696 717963 903504 943044 957284 1100218 1257392 1435926 1650327 1675247 1886088 1914568 2200436 2374387 2871852 3300654 3350494 3772176 3829136 4400872 4748774 5025741 5743704 6601308 6700988 7123161 8801744 9497548 10051482 11487408 13202616 13401976 14246322 16620709 18995096 20102964 26405232 26803952 28492644 33241418 37990192 40205928 49862127 56985288 66482836 80411856 99724254 113970576 132965672 199448508 211320443 265931344 398897016 422640886 633961329 797794032 845281772 1267922658 1479243101 1690563544 2535845316 2958486202 3381127088 4437729303 5071690632 5916972404 8875458606 10143381264 11833944808 17750917212 23667889616 35501834424 71003668848