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13283187984 = 2432118839497
BaseRepresentation
bin11000101111011110…
…10101110100010000
31021021201122212100100
430113233111310100
5204200444003414
610034024452400
7650112143403
oct142757256420
937251585310
1013283187984
1156a7016810
1226a861a100
131338c64461
14900203d3a
1552b23e609
hex317bd5d10

13283187984 has 120 divisors (see below), whose sum is σ = 40604177952. Its totient is φ = 4020226560.

The previous prime is 13283187959. The next prime is 13283187991. The reversal of 13283187984 is 48978138231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 13283187984.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1393924 + ... + 1403420.

Almost surely, 213283187984 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 13283187984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20302088976).

13283187984 is an abundant number, since it is smaller than the sum of its proper divisors (27320989968).

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

13283187984 is a wasteful number, since it uses less digits than its factorization.

13283187984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10405 (or 10396 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 13283187984 in words is "thirteen billion, two hundred eighty-three million, one hundred eighty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 883 1584 1766 2649 3532 5298 7064 7947 9497 9713 10596 14128 15894 18994 19426 21192 28491 29139 31788 37988 38852 42384 56982 58278 63576 75976 77704 85473 87417 104467 113964 116556 127152 151952 155408 170946 174834 208934 227928 233112 313401 341892 349668 417868 455856 466224 626802 683784 699336 835736 940203 1253604 1367568 1398672 1671472 1880406 2507208 3760812 5014416 7521624 8385851 15043248 16771702 25157553 33543404 50315106 67086808 75472659 92244361 100630212 134173616 150945318 184488722 201260424 276733083 301890636 368977444 402520848 553466166 603781272 737954888 830199249 1106932332 1207562544 1475909776 1660398498 2213864664 3320796996 4427729328 6641593992 13283187984