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13606813696 = 2157137433
BaseRepresentation
bin11001010110000011…
…11000000000000000
31022010021121202100211
430223001320000000
5210331321014241
610130105123504
7661122002530
oct145301700000
938107552324
1013606813696
115852767583
122778a89594
13138b014a68
149311a74c0
15549868781
hex32b078000

13606813696 has 128 divisors (see below), whose sum is σ = 31400177760. Its totient is φ = 5775556608.

The previous prime is 13606813687. The next prime is 13606813709. The reversal of 13606813696 is 69631860631.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×136068136963 (a number of 31 digits) contains 333 as substring.

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, 31424296 + ... + 31424728.

Almost surely, 213606813696 is an apocalyptic number.

13606813696 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 13606813696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15700088880).

13606813696 is an abundant number, since it is smaller than the sum of its proper divisors (17793364064).

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

13606813696 is an frugal number, since it uses more digits than its factorization.

13606813696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 49.

The spelling of 13606813696 in words is "thirteen billion, six hundred six million, eight hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 137 224 256 274 433 448 512 548 866 896 959 1024 1096 1732 1792 1918 2048 2192 3031 3464 3584 3836 4096 4384 6062 6928 7168 7672 8192 8768 12124 13856 14336 15344 16384 17536 24248 27712 28672 30688 32768 35072 48496 55424 57344 59321 61376 70144 96992 110848 114688 118642 122752 140288 193984 221696 229376 237284 245504 280576 387968 415247 443392 474568 491008 561152 775936 830494 886784 949136 982016 1122304 1551872 1660988 1773568 1898272 1964032 2244608 3103744 3321976 3547136 3796544 3928064 4489216 6207488 6643952 7094272 7593088 7856128 12414976 13287904 14188544 15186176 15712256 24829952 26575808 30372352 31424512 49659904 53151616 60744704 99319808 106303232 121489408 212606464 242978816 425212928 485957632 850425856 971915264 1700851712 1943830528 3401703424 6803406848 13606813696