Search a number
-
+
33454286152 = 23737127127133
BaseRepresentation
bin11111001010000001…
…111110010101001000
310012100111010211011021
4133022001332111020
51022003244124102
623211345242224
72263012511650
oct371201762510
9105314124137
1033454286152
1113208088381
126597933374
133201c171c1
141895107360
15d0c006137
hex7ca07e548

33454286152 has 64 divisors (see below), whose sum is σ = 74205573120. Its totient is φ = 13840098048.

The previous prime is 33454286113. The next prime is 33454286153. The reversal of 33454286152 is 25168245433.

It is a super-2 number, since 2×334542861522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33454286099 and 33454286108.

It is not an unprimeable number, because it can be changed into a prime (33454286153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199578 + ... + 326710.

It is an arithmetic number, because the mean of its divisors is an integer number (1159462080).

Almost surely, 233454286152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33454286152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37102786560).

33454286152 is an abundant number, since it is smaller than the sum of its proper divisors (40751286968).

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

33454286152 is a wasteful number, since it uses less digits than its factorization.

33454286152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127310 (or 127306 counting only the distinct ones).

The product of its digits is 691200, while the sum is 43.

The spelling of 33454286152 in words is "thirty-three billion, four hundred fifty-four million, two hundred eighty-six thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 28 37 56 74 127 148 254 259 296 508 518 889 1016 1036 1778 2072 3556 4699 7112 9398 18796 32893 37592 65786 127133 131572 254266 263144 508532 889931 1017064 1779862 3559724 4703921 7119448 9407842 16145891 18815684 32291782 32927447 37631368 64583564 65854894 113021237 129167128 131709788 226042474 263419576 452084948 597397967 904169896 1194795934 2389591868 4181785769 4779183736 8363571538 16727143076 33454286152