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20148266358 = 23211282911159
BaseRepresentation
bin10010110000111011…
…100010010101110110
31221000011111222110100
4102300323202111312
5312230424010413
613131143134530
71312202303223
oct226073422566
957004458410
1020148266358
1185aa197800
123aa3744446
131b9131a6cc
14d91c7c94a
157cdca6a73
hex4b0ee2576

20148266358 has 72 divisors (see below), whose sum is σ = 48046143600. Its totient is φ = 6097623840.

The previous prime is 20148266353. The next prime is 20148266381. The reversal of 20148266358 is 85366284102.

20148266358 is a `hidden beast` number, since 2 + 0 + 1 + 4 + 8 + 2 + 6 + 635 + 8 = 666.

20148266358 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×201482663583 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20148266353) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1799983 + ... + 1811141.

It is an arithmetic number, because the mean of its divisors is an integer number (667307550).

Almost surely, 220148266358 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20148266358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24023071800).

20148266358 is an abundant number, since it is smaller than the sum of its proper divisors (27897877242).

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

20148266358 is a wasteful number, since it uses less digits than its factorization.

20148266358 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12018 (or 12004 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20148266358 in words is "twenty billion, one hundred forty-eight million, two hundred sixty-six thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 121 198 242 363 726 829 1089 1658 2178 2487 4974 7461 9119 11159 14922 18238 22318 27357 33477 54714 66954 82071 100309 100431 122749 164142 200618 200862 245498 300927 368247 601854 736494 902781 1104741 1350239 1805562 2209482 2700478 4050717 8101434 9250811 12152151 18501622 24304302 27752433 55504866 83257299 101758921 166514598 203517842 305276763 610553526 915830289 1119348131 1831660578 2238696262 3358044393 6716088786 10074133179 20148266358