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20933459856 = 243440192
BaseRepresentation
bin10011011111101110…
…110011111110010000
32000000212222221110000
4103133232303332100
5320332431203411
613341112410000
71340515321131
oct233756637620
960025887400
1020933459856
118972435251
1240826a6900
131c87bb804a
141028271c88
15827ba6956
hex4dfbb3f90

20933459856 has 75 divisors (see below), whose sum is σ = 60602585131. Its totient is φ = 6976083744.

The previous prime is 20933459839. The next prime is 20933459857. The reversal of 20933459856 is 65895433902.

The square root of 20933459856 is 144684.

It is a perfect power (a square), and thus also a powerful number.

20933459856 is a `hidden beast` number, since 20 + 93 + 3 + 459 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20933459857) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5206615 + ... + 5210633.

Almost surely, 220933459856 is an apocalyptic number.

20933459856 is the 144684-th square number.

It is an amenable number.

20933459856 is an abundant number, since it is smaller than the sum of its proper divisors (39669125275).

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

20933459856 is an frugal number, since it uses more digits than its factorization.

20933459856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8058 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 20933459856 in words is "twenty billion, nine hundred thirty-three million, four hundred fifty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 4019 8038 12057 16076 24114 32152 36171 48228 64304 72342 96456 108513 144684 192912 217026 289368 325539 434052 578736 651078 868104 1302156 1736208 2604312 5208624 16152361 32304722 48457083 64609444 96914166 129218888 145371249 193828332 258437776 290742498 387656664 436113747 581484996 775313328 872227494 1162969992 1308341241 1744454988 2325939984 2616682482 3488909976 5233364964 6977819952 10466729928 20933459856