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135011226456 = 23321998692417
BaseRepresentation
bin111110110111101001…
…0111101001101011000
3110220111011102220222200
41331233102331031120
54203000333221311
6142005011050200
712516463330011
oct1755722751530
9426434386880
10135011226456
11522923547a7
12221baba0960
13c9681642a2
14676ac50008
1537a2c86556
hex1f6f4bd358

135011226456 has 48 divisors (see below), whose sum is σ = 384900430200. Its totient is φ = 42635123712.

The previous prime is 135011226451. The next prime is 135011226481. The reversal of 135011226456 is 654622110531.

135011226456 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 1 + 1 + 2 + 2 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 135011226456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135011226451) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 49344841 + ... + 49347576.

Almost surely, 2135011226456 is an apocalyptic number.

It is an amenable number.

135011226456 is an abundant number, since it is smaller than the sum of its proper divisors (249889203744).

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

135011226456 is a wasteful number, since it uses less digits than its factorization.

135011226456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98692448 (or 98692441 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 135011226456 its reverse (654622110531), we get a palindrome (789633336987).

The spelling of 135011226456 in words is "one hundred thirty-five billion, eleven million, two hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 98692417 197384834 296077251 394769668 592154502 789539336 888231753 1184309004 1776463506 1875155923 2368618008 3552927012 3750311846 5625467769 7105854024 7500623692 11250935538 15001247384 16876403307 22501871076 33752806614 45003742152 67505613228 135011226456