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13275508480 = 285131914177
BaseRepresentation
bin11000101110100100…
…00010111100000000
31021021012012201001021
430113102002330000
5204142012232410
610033152115224
7646656650233
oct142722027400
937235181037
1013275508480
1156a2751013
1226a5b35b14
1313374a5b80
148dd1a541a
1552a723eda
hex317482f00

13275508480 has 144 divisors (see below), whose sum is σ = 34432602624. Its totient is φ = 4874895360.

The previous prime is 13275508459. The next prime is 13275508481. The reversal of 13275508480 is 8480557231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13275508481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3176152 + ... + 3180328.

It is an arithmetic number, because the mean of its divisors is an integer number (239115296).

Almost surely, 213275508480 is an apocalyptic number.

13275508480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13275508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216301312).

13275508480 is an abundant number, since it is smaller than the sum of its proper divisors (21157094144).

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

13275508480 is a wasteful number, since it uses less digits than its factorization.

13275508480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4402 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 43.

The spelling of 13275508480 in words is "thirteen billion, two hundred seventy-five million, five hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 191 208 256 260 320 382 416 520 640 764 832 955 1040 1280 1528 1664 1910 2080 2483 3056 3328 3820 4160 4177 4966 6112 7640 8320 8354 9932 12224 12415 15280 16640 16708 19864 20885 24448 24830 30560 33416 39728 41770 48896 49660 54301 61120 66832 79456 83540 99320 108602 122240 133664 158912 167080 198640 217204 244480 267328 271505 317824 334160 397280 434408 534656 543010 635648 668320 794560 797807 868816 1069312 1086020 1336640 1589120 1595614 1737632 2172040 2673280 3178240 3191228 3475264 3989035 4344080 5346560 6382456 6950528 7978070 8688160 10371491 12764912 13901056 15956140 17376320 20742982 25529824 31912280 34752640 41485964 51059648 51857455 63824560 69505280 82971928 102119296 103714910 127649120 165943856 204238592 207429820 255298240 331887712 414859640 510596480 663775424 829719280 1021192960 1327550848 1659438560 2655101696 3318877120 6637754240 13275508480