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20533303332 = 2234421150533
BaseRepresentation
bin10011000111111000…
…010101100000100100
31222000000000212220000
4103013320111200210
5314023011201312
613233255541300
71324556125053
oct230770254044
958000025800
1020533303332
118787572783
123b9068a830
131c23020439
14dcb06a39a
158029b1adc
hex4c7e15824

20533303332 has 60 divisors (see below), whose sum is σ = 53805969756. Its totient is φ = 6828131520.

The previous prime is 20533303331. The next prime is 20533303367. The reversal of 20533303332 is 23330333502.

20533303332 is a `hidden beast` number, since 20 + 5 + 3 + 3 + 303 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7706381796 + 12826921536 = 87786^2 + 113256^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20533303296 and 20533303305.

It is not an unprimeable number, because it can be changed into a prime (20533303331) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61138 + ... + 211670.

Almost surely, 220533303332 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 20533303332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26902984878).

20533303332 is an abundant number, since it is smaller than the sum of its proper divisors (33272666424).

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

20533303332 is a wasteful number, since it uses less digits than its factorization.

20533303332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150970 (or 150959 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 27.

Adding to 20533303332 its reverse (23330333502), we get a palindrome (43863636834).

The spelling of 20533303332 in words is "twenty billion, five hundred thirty-three million, three hundred three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 421 842 1263 1684 2526 3789 5052 7578 11367 15156 22734 34101 45468 68202 136404 150533 301066 451599 602132 903198 1354797 1806396 2709594 4064391 5419188 8128782 12193173 16257564 24386346 48772692 63374393 126748786 190123179 253497572 380246358 570369537 760492716 1140739074 1711108611 2281478148 3422217222 5133325833 6844434444 10266651666 20533303332