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10486331064 = 23331131142369
BaseRepresentation
bin10011100010000100…
…01011011010111000
31000001210212210221000
421301002023122320
5132434000043224
64452314245000
7520601225526
oct116102133270
930053783830
1010486331064
1144a1295810
122047a26760
13cb1697a31
1471699b316
154159260c9
hex27108b6b8

10486331064 has 128 divisors (see below), whose sum is σ = 32802048000. Its totient is φ = 3075148800.

The previous prime is 10486331047. The next prime is 10486331081. The reversal of 10486331064 is 46013368401.

It is a happy number.

10486331064 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 633 + 10 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (10486331047) and next prime (10486331081).

It is a super-2 number, since 2×104863310642 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2472 + ... + 144840.

It is an arithmetic number, because the mean of its divisors is an integer number (256266000).

Almost surely, 210486331064 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 10486331064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16401024000).

10486331064 is an abundant number, since it is smaller than the sum of its proper divisors (22315716936).

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

10486331064 is a wasteful number, since it uses less digits than its factorization.

10486331064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142426 (or 142416 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 10486331064 its reverse (46013368401), we get a palindrome (56499699465).

The spelling of 10486331064 in words is "ten billion, four hundred eighty-six million, three hundred thirty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 18414 24552 36828 73656 142369 284738 427107 569476 854214 1138952 1281321 1566059 1708428 2562642 3132118 3416856 3843963 4413439 4698177 5125284 6264236 7687926 8826878 9396354 10250568 12528472 13240317 14094531 15375852 17653756 18792708 26480634 28189062 30751704 35307512 37585416 39720951 42283593 48547829 52961268 56378124 79441902 84567186 97095658 105922536 112756248 119162853 145643487 158883804 169134372 194191316 238325706 291286974 317767608 338268744 388382632 436930461 476651412 582573948 873860922 953302824 1165147896 1310791383 1747721844 2621582766 3495443688 5243165532 10486331064