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13024554024 = 2333152133601
BaseRepresentation
bin11000010000101001…
…01110110000101000
31020121200222220020210
430020110232300220
5203133241212044
65552225221120
7640521611466
oct141024566050
936550886223
1013024554024
115584026239
122635a917a0
1312c74bac01
148b7b1b836
155136a21b9
hex30852ec28

13024554024 has 64 divisors (see below), whose sum is σ = 33677268480. Its totient is φ = 4193280000.

The previous prime is 13024553981. The next prime is 13024554031. The reversal of 13024554024 is 42045542031.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13024553982 and 13024554000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 370824 + ... + 404424.

It is an arithmetic number, because the mean of its divisors is an integer number (526207320).

Almost surely, 213024554024 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 13024554024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16838634240).

13024554024 is an abundant number, since it is smaller than the sum of its proper divisors (20652714456).

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

13024554024 is a wasteful number, since it uses less digits than its factorization.

13024554024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34162 (or 34158 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The spelling of 13024554024 in words is "thirteen billion, twenty-four million, five hundred fifty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 521 744 1042 1563 2084 3126 4168 6252 12504 16151 32302 33601 48453 64604 67202 96906 100803 129208 134404 193812 201606 268808 387624 403212 806424 1041631 2083262 3124893 4166524 6249786 8333048 12499572 17506121 24999144 35012242 52518363 70024484 105036726 140048968 210073452 420146904 542689751 1085379502 1628069253 2170759004 3256138506 4341518008 6512277012 13024554024