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13683026816 = 27193673823
BaseRepresentation
bin11001011111001001…
…00110101110000000
31022022121000210002222
430233210212232000
5211010323324231
610141430430212
7663035544314
oct145744465600
938277023088
1013683026816
115891791628
12279a502368
1313a0a4a594
1493b365b44
155513c027b
hex32f926b80

13683026816 has 64 divisors (see below), whose sum is σ = 27474450720. Its totient is φ = 6787694592.

The previous prime is 13683026803. The next prime is 13683026837. The reversal of 13683026816 is 61862038631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16625381 + ... + 16626203.

Almost surely, 213683026816 is an apocalyptic number.

13683026816 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 13683026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13737225360).

13683026816 is an abundant number, since it is smaller than the sum of its proper divisors (13791423904).

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

13683026816 is an equidigital number, since it uses as much as digits as its factorization.

13683026816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1703 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The spelling of 13683026816 in words is "thirteen billion, six hundred eighty-three million, twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 128 193 386 673 772 823 1346 1544 1646 2692 3088 3292 5384 6176 6584 10768 12352 13168 21536 24704 26336 43072 52672 86144 105344 129889 158839 259778 317678 519556 553879 635356 1039112 1107758 1270712 2078224 2215516 2541424 4156448 4431032 5082848 8312896 8862064 10165696 16625792 17724128 20331392 35448256 70896512 106898647 213797294 427594588 855189176 1710378352 3420756704 6841513408 13683026816