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20832770052 = 22368980273
BaseRepresentation
bin10011011001101110…
…101101100000000100
31222202212112101000000
4103121232231200010
5320131142120202
613323114321300
71335153423633
oct233156554004
958685471000
1020832770052
118920612536
124054a29230
131c70092593
141018b4151a
1581de1791c
hex4d9bad804

20832770052 has 84 divisors (see below), whose sum is σ = 55275873660. Its totient is φ = 6866145792.

The previous prime is 20832770017. The next prime is 20832770137. The reversal of 20832770052 is 25007723802.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 4920461316 + 15912308736 = 70146^2 + 126144^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20832769989 and 20832770016.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 219388 + ... + 299660.

It is an arithmetic number, because the mean of its divisors is an integer number (658046115).

Almost surely, 220832770052 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 20832770052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27637936830).

20832770052 is an abundant number, since it is smaller than the sum of its proper divisors (34443103608).

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

20832770052 is an equidigital number, since it uses as much as digits as its factorization.

20832770052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80384 (or 80367 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 20832770052 in words is "twenty billion, eight hundred thirty-two million, seven hundred seventy thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 89 108 162 178 243 267 324 356 486 534 729 801 972 1068 1458 1602 2403 2916 3204 4806 7209 9612 14418 21627 28836 43254 64881 80273 86508 129762 160546 240819 259524 321092 481638 722457 963276 1444914 2167371 2889828 4334742 6502113 7144297 8669484 13004226 14288594 19506339 21432891 26008452 28577188 39012678 42865782 58519017 64298673 78025356 85731564 117038034 128597346 192896019 234076068 257194692 385792038 578688057 771584076 1157376114 1736064171 2314752228 3472128342 5208192513 6944256684 10416385026 20832770052