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11315612654016 = 2631121292516567
BaseRepresentation
bin1010010010101001111100…
…0100101001100111000000
31111001202120111112201001120
42210222133010221213000
52440343333314412031
640022153134032240
72245345300366506
oct244523704514700
944052514481046
1011315612654016
113672a19389260
12132905b948680
136410999a8178
142b197001a676
15149529849a96
hexa4a9f1299c0

11315612654016 has 112 divisors (see below), whose sum is σ = 32676326864640. Its totient is φ = 3427361566720.

The previous prime is 11315612654009. The next prime is 11315612654051. The reversal of 11315612654016 is 61045621651311.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3238165 + ... + 5754731.

Almost surely, 211315612654016 is an apocalyptic number.

11315612654016 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 11315612654016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16338163432320).

11315612654016 is an abundant number, since it is smaller than the sum of its proper divisors (21360714210624).

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

11315612654016 is a wasteful number, since it uses less digits than its factorization.

11315612654016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518722 (or 2518712 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The spelling of 11315612654016 in words is "eleven trillion, three hundred fifteen billion, six hundred twelve million, six hundred fifty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 2129 4258 6387 8516 12774 17032 23419 25548 34064 46838 51096 68128 70257 93676 102192 136256 140514 187352 204384 281028 374704 408768 562056 749408 1124112 1498816 2248224 2516567 4496448 5033134 7549701 10066268 15099402 20132536 27682237 30198804 40265072 55364474 60397608 80530144 83046711 110728948 120795216 161060288 166093422 221457896 241590432 332186844 442915792 483180864 664373688 885831584 1328747376 1771663168 2657494752 5314989504 5357771143 10715542286 16073313429 21431084572 32146626858 42862169144 58935482573 64293253716 85724338288 117870965146 128586507432 171448676576 176806447719 235741930292 257173014864 342897353152 353612895438 471483860584 514346029728 707225790876 942967721168 1028692059456 1414451581752 1885935442336 2828903163504 3771870884672 5657806327008 11315612654016