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13047809024064 = 263892233424061
BaseRepresentation
bin1011110111011110111000…
…0001011010000001000000
31201012100200020121120221110
42331313232001122001000
53202233403102232224
643430025233523320
72514446604531243
oct275675601320100
951170606546843
1013047809024064
1141805aa047131
121568904a13540
13738531836079
1433173578725a
1517960b9e3929
hexbddee05a040

13047809024064 has 112 divisors (see below), whose sum is σ = 35066777679360. Its totient is φ = 4281115914240.

The previous prime is 13047809024059. The next prime is 13047809024111. The reversal of 13047809024064 is 46042090874031.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2098594 + ... + 5522654.

It is an arithmetic number, because the mean of its divisors is an integer number (313096229280).

Almost surely, 213047809024064 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 13047809024064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17533388839680).

13047809024064 is an abundant number, since it is smaller than the sum of its proper divisors (22018968655296).

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

13047809024064 is a wasteful number, since it uses less digits than its factorization.

13047809024064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3424388 (or 3424378 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

Adding to 13047809024064 its reverse (46042090874031), we get a palindrome (59089899898095).

The spelling of 13047809024064 in words is "thirteen trillion, forty-seven billion, eight hundred nine million, twenty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 89 96 178 192 223 267 356 446 534 669 712 892 1068 1338 1424 1784 2136 2676 2848 3568 4272 5352 5696 7136 8544 10704 14272 17088 19847 21408 39694 42816 59541 79388 119082 158776 238164 317552 476328 635104 952656 1270208 1905312 3424061 3810624 6848122 10272183 13696244 20544366 27392488 41088732 54784976 82177464 109569952 164354928 219139904 304741429 328709856 609482858 657419712 763565603 914224287 1218965716 1527131206 1828448574 2290696809 2437931432 3054262412 3656897148 4581393618 4875862864 6108524824 7313794296 9162787236 9751725728 12217049648 14627588592 18325574472 19503451456 24434099296 29255177184 36651148944 48868198592 58510354368 67957338667 73302297888 135914677334 146604595776 203872016001 271829354668 407744032002 543658709336 815488064004 1087317418672 1630976128008 2174634837344 3261952256016 4349269674688 6523904512032 13047809024064