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13690208256 = 228317
BaseRepresentation
bin11001100000000000…
…00000000000000000
31022100002112122012020
430300000000000000
5211014143131011
610142244401440
7663153564414
oct146000000000
938302478166
1013690208256
1158958470aa
1227a09a6280
1313a239325a
1493c2b4d44
15551d3d006
hex330000000

13690208256 has 116 divisors (see below), whose sum is σ = 38654705592. Its totient is φ = 4294967296.

The previous prime is 13690208237. The next prime is 13690208261. The reversal of 13690208256 is 65280209631.

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is an unprimeable number.

In principle, a polygon with 13690208256 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 805306360 + ... + 805306376.

Almost surely, 213690208256 is an apocalyptic number.

13690208256 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 13690208256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19327352796).

13690208256 is an abundant number, since it is smaller than the sum of its proper divisors (24964497336).

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

13690208256 is an frugal number, since it uses more digits than its factorization.

13690208256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 13690208256 in words is "thirteen billion, six hundred ninety million, two hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2048 2176 3072 3264 4096 4352 6144 6528 8192 8704 12288 13056 16384 17408 24576 26112 32768 34816 49152 52224 65536 69632 98304 104448 131072 139264 196608 208896 262144 278528 393216 417792 524288 557056 786432 835584 1048576 1114112 1572864 1671168 2097152 2228224 3145728 3342336 4194304 4456448 6291456 6684672 8388608 8912896 12582912 13369344 16777216 17825792 25165824 26738688 33554432 35651584 50331648 53477376 67108864 71303168 100663296 106954752 134217728 142606336 201326592 213909504 268435456 285212672 402653184 427819008 570425344 805306368 855638016 1140850688 1711276032 2281701376 3422552064 4563402752 6845104128 13690208256