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13264865376 = 253768328901
BaseRepresentation
bin11000101101010010…
…11100100001100000
31021020110011222110020
430112221130201200
5204131301143001
610032132033440
7646500331620
oct142651344140
937213158406
1013264865376
115697741764
1226a2462880
13133521a689
148db9d4880
15529820736
hex316a5c860

13264865376 has 96 divisors (see below), whose sum is σ = 39854239488. Its totient is φ = 3784281600.

The previous prime is 13264865309. The next prime is 13264865377. The reversal of 13264865376 is 67356846231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13264865377) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444526 + ... + 473426.

It is an arithmetic number, because the mean of its divisors is an integer number (415148328).

Almost surely, 213264865376 is an apocalyptic number.

13264865376 is a gapful number since it is divisible by the number (16) 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 13264865376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19927119744).

13264865376 is an abundant number, since it is smaller than the sum of its proper divisors (26589374112).

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

13264865376 is a wasteful number, since it uses less digits than its factorization.

13264865376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29604 (or 29596 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The spelling of 13264865376 in words is "thirteen billion, two hundred sixty-four million, eight hundred sixty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 683 1366 2049 2732 4098 4781 5464 8196 9562 10928 14343 16392 19124 21856 28686 28901 32784 38248 57372 57802 65568 76496 86703 114744 115604 152992 173406 202307 229488 231208 346812 404614 458976 462416 606921 693624 809228 924832 1213842 1387248 1618456 2427684 2774496 3236912 4855368 6473824 9710736 19421472 19739383 39478766 59218149 78957532 118436298 138175681 157915064 236872596 276351362 315830128 414527043 473745192 552702724 631660256 829054086 947490384 1105405448 1658108172 1894980768 2210810896 3316216344 4421621792 6632432688 13264865376