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13534602368 = 27737537703
BaseRepresentation
bin11001001101011100…
…11010010010000000
31021221020202001001012
430212232122102000
5210204324233433
610115005300052
7656254136060
oct144656322200
937836661035
1013534602368
115815a260a1
122758864628
131379080871
1492576b3a0
15543352848
hex326b9a480

13534602368 has 128 divisors (see below), whose sum is σ = 32249560320. Its totient is φ = 5536567296.

The previous prime is 13534602349. The next prime is 13534602371. The reversal of 13534602368 is 86320643531.

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

It is a super-2 number, since 2×135346023682 (a number of 21 digits) contains 22 as substring.

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, 1753205 + ... + 1760907.

It is an arithmetic number, because the mean of its divisors is an integer number (251949690).

Almost surely, 213534602368 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 13534602368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16124780160).

13534602368 is an abundant number, since it is smaller than the sum of its proper divisors (18714957952).

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

13534602368 is an equidigital number, since it uses as much as digits as its factorization.

13534602368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7814 (or 7802 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 41.

The spelling of 13534602368 in words is "thirteen billion, five hundred thirty-four million, six hundred two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 53 56 64 74 106 112 128 148 212 224 259 296 371 424 448 518 592 742 848 896 1036 1184 1484 1696 1961 2072 2368 2968 3392 3922 4144 4736 5936 6784 7703 7844 8288 11872 13727 15406 15688 16576 23744 27454 30812 31376 33152 47488 53921 54908 61624 62752 107842 109816 123248 125504 215684 219632 246496 251008 285011 408259 431368 439264 492992 570022 816518 862736 878528 985984 1140044 1633036 1725472 1757056 1995077 2280088 2857813 3266072 3450944 3990154 4560176 5715626 6532144 6901888 7980308 9120352 11431252 13064288 15105583 15960616 18240704 22862504 26128576 30211166 31921232 36481408 45725008 52257152 60422332 63842464 91450016 105739081 120844664 127684928 182900032 211478162 241689328 255369856 365800064 422956324 483378656 845912648 966757312 1691825296 1933514624 3383650592 6767301184 13534602368