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135428373267066 = 23311227993894389
BaseRepresentation
bin11110110010101111100000…
…000101001100001001111010
3122202111211022012000002111000
4132302233200011030021322
5120222324302024021231
61200010534044145430
740345243224153105
oct3662574005141172
9582454265002430
10135428373267066
113a17393a10a630
1213232b14238276
135a74ac1316bb9
142562aa809d73c
15109cc095ac6e6
hex7b2be014c27a

135428373267066 has 32 divisors (see below), whose sum is σ = 328311207921600. Its totient is φ = 41038900989840.

The previous prime is 135428373267049. The next prime is 135428373267097. The reversal of 135428373267066 is 660762373824531.

135428373267066 is a `hidden beast` number, since 1 + 3 + 542 + 8 + 3 + 7 + 3 + 26 + 7 + 0 + 66 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135428373266994 and 135428373267012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113996946601 + ... + 113996947788.

It is an arithmetic number, because the mean of its divisors is an integer number (10259725247550).

Almost surely, 2135428373267066 is an apocalyptic number.

135428373267066 is an abundant number, since it is smaller than the sum of its proper divisors (192882834654534).

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

135428373267066 is a wasteful number, since it uses less digits than its factorization.

135428373267066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227993894411 (or 227993894405 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 63.

The spelling of 135428373267066 in words is "one hundred thirty-five trillion, four hundred twenty-eight billion, three hundred seventy-three million, two hundred sixty-seven thousand, sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 227993894389 455987788778 683981683167 1367963366334 2051945049501 2507932838279 4103890099002 5015865676558 6155835148503 7523798514837 12311670297006 15047597029674 22571395544511 45142791089022 67714186633533 135428373267066