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11245653450 = 2325285329297
BaseRepresentation
bin10100111100100101…
…10000110111001010
31002000201200101102100
422132102300313022
5141012341402300
65055521214230
7545451322443
oct123622606712
932021611370
1011245653450
114850972979
12221a191376
1310a2aa7815
147897782ca
1545c415700
hex29e4b0dca

11245653450 has 72 divisors (see below), whose sum is σ = 30249774828. Its totient is φ = 2995223040.

The previous prime is 11245653449. The next prime is 11245653469. The reversal of 11245653450 is 5435654211.

11245653450 is a `hidden beast` number, since 1 + 1 + 24 + 56 + 534 + 50 = 666.

11245653450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2347693209 + 8897960241 = 48453^2 + 94329^2 .

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 369202 + ... + 398498.

Almost surely, 211245653450 is an apocalyptic number.

11245653450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11245653450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15124887414).

11245653450 is an abundant number, since it is smaller than the sum of its proper divisors (19004121378).

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

11245653450 is a wasteful number, since it uses less digits than its factorization.

11245653450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30168 (or 30160 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 11245653450 in words is "eleven billion, two hundred forty-five million, six hundred fifty-three thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 450 853 1706 2559 4265 5118 7677 8530 12795 15354 21325 25590 29297 38385 42650 58594 63975 76770 87891 127950 146485 175782 191925 263673 292970 383850 439455 527346 732425 878910 1318365 1464850 2197275 2636730 4394550 6591825 13183650 24990341 49980682 74971023 124951705 149942046 224913069 249903410 374855115 449826138 624758525 749710230 1124565345 1249517050 1874275575 2249130690 3748551150 5622826725 11245653450