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68011344770148 = 223213145323386261
BaseRepresentation
bin11110111011011001000000…
…00010111011010001100100
322220210211011112221221210200
433131230200002323101210
532403244213230121043
6400351551440150500
720216441345053413
oct1735544002732144
9286724145857720
1068011344770148
111a7414a408603a
127765079908430
132bc45999418a0
1412b1aa399147a
157ce1e79ab7d3
hex3ddb200bb464

68011344770148 has 36 divisors (see below), whose sum is σ = 185141994097788. Its totient is φ = 20926567621440.

The previous prime is 68011344770147. The next prime is 68011344770231. The reversal of 68011344770148 is 84107744311086.

68011344770148 is a `hidden beast` number, since 6 + 8 + 0 + 113 + 447 + 70 + 14 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 43354876451364 + 24656468318784 = 6584442^2 + 4965528^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 68011344770094 and 68011344770103.

It is not an unprimeable number, because it can be changed into a prime (68011344770147) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72661692663 + ... + 72661693598.

It is an arithmetic number, because the mean of its divisors is an integer number (5142833169383).

Almost surely, 268011344770148 is an apocalyptic number.

It is an amenable number.

68011344770148 is an abundant number, since it is smaller than the sum of its proper divisors (117130649327640).

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

68011344770148 is a wasteful number, since it uses less digits than its factorization.

68011344770148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145323386284 (or 145323386279 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 68011344770148 in words is "sixty-eight trillion, eleven billion, three hundred forty-four million, seven hundred seventy thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 145323386261 290646772522 435970158783 581293545044 871940317566 1307910476349 1743880635132 1889204021393 2615820952698 3778408042786 5231641905396 5667612064179 7556816085572 11335224128358 17002836192537 22670448256716 34005672385074 68011344770148