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21000146472 = 23322331251797
BaseRepresentation
bin10011100011101101…
…001100111000101000
32000012112110222021200
4103203231030320220
5321002014141342
613351454004200
71342255204554
oct234355147050
960175428250
1021000146472
1189a7042958
1240a0aa6660
131c98966696
141033070864
1582d97a94c
hex4e3b4ce28

21000146472 has 48 divisors (see below), whose sum is σ = 57119542740. Its totient is φ = 6970000128.

The previous prime is 21000146467. The next prime is 21000146477. The reversal of 21000146472 is 27464100012.

21000146472 is a `hidden beast` number, since 2 + 1 + 0 + 0 + 0 + 14 + 647 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (21000146467) and next prime (21000146477).

It can be written as a sum of positive squares in 2 ways, for example, as 20858869476 + 141276996 = 144426^2 + 11886^2 .

It is not an unprimeable number, because it can be changed into a prime (21000146477) 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 11 ways as a sum of consecutive naturals, for example, 609123 + ... + 642674.

Almost surely, 221000146472 is an apocalyptic number.

It is an amenable number.

21000146472 is an abundant number, since it is smaller than the sum of its proper divisors (36119396268).

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

21000146472 is a wasteful number, since it uses less digits than its factorization.

21000146472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252042 (or 1252035 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

Adding to 21000146472 its reverse (27464100012), we get a palindrome (48464246484).

The spelling of 21000146472 in words is "twenty-one billion, one hundred forty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 233 466 699 932 1398 1864 2097 2796 4194 5592 8388 16776 1251797 2503594 3755391 5007188 7510782 10014376 11266173 15021564 22532346 30043128 45064692 90129384 291668701 583337402 875006103 1166674804 1750012206 2333349608 2625018309 3500024412 5250036618 7000048824 10500073236 21000146472