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11348427678912 = 263310363760943
BaseRepresentation
bin1010010100100100001100…
…0000000010010011000000
31111011220021102210200122000
42211021003000002103000
52441413034441211122
640045221245544000
72250616421452152
oct245110300022300
944156242720560
1011348427678912
113685928632145
121333499575000
136441c932b26c
142b33a427aad2
1514a2ea67a0ac
hexa52430024c0

11348427678912 has 112 divisors (see below), whose sum is σ = 33686181934080. Its totient is φ = 3746082864384.

The previous prime is 11348427678881. The next prime is 11348427678919. The reversal of 11348427678912 is 21987672484311.

11348427678912 is a `hidden beast` number, since 1 + 1 + 3 + 484 + 2 + 7 + 67 + 8 + 91 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11348427678912.

It is not an unprimeable number, because it can be changed into a prime (11348427678919) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31702488 + ... + 32058455.

Almost surely, 211348427678912 is an apocalyptic number.

11348427678912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11348427678912 is an abundant number, since it is smaller than the sum of its proper divisors (22337754255168).

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

11348427678912 is a wasteful number, since it uses less digits than its factorization.

11348427678912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63761067 (or 63761051 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The spelling of 11348427678912 in words is "eleven trillion, three hundred forty-eight billion, four hundred twenty-seven million, six hundred seventy-eight thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 103 108 144 192 206 216 288 309 412 432 576 618 824 864 927 1236 1648 1728 1854 2472 2781 3296 3708 4944 5562 6592 7416 9888 11124 14832 19776 22248 29664 44496 59328 88992 177984 63760943 127521886 191282829 255043772 382565658 510087544 573848487 765131316 1020175088 1147696974 1530262632 1721545461 2040350176 2295393948 3060525264 3443090922 4080700352 4590787896 6121050528 6567377129 6886181844 9181575792 12242101056 13134754258 13772363688 18363151584 19702131387 26269508516 27544727376 36726303168 39404262774 52539017032 55089454752 59106394161 78808525548 105078034064 110178909504 118212788322 157617051096 177319182483 210156068128 236425576644 315234102192 354638364966 420312136256 472851153288 630468204384 709276729932 945702306576 1260936408768 1418553459864 1891404613152 2837106919728 3782809226304 5674213839456 11348427678912