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213822781480 = 235711314914561
BaseRepresentation
bin1100011100100011010…
…1001011100000101000
3202102220200021201222001
43013020311023200220
512000402113001410
6242121232140344
721306504440320
oct3071065134050
9672820251861
10213822781480
1182755427550
12355349976b4
1317217cbc209
14a4c5c26280
155866c4d33a
hex31c8d4b828

213822781480 has 256 divisors, whose sum is σ = 620560465920. Its totient is φ = 64350720000.

The previous prime is 213822781451. The next prime is 213822781531. The reversal of 213822781480 is 84187228312.

It is a happy number.

It is a super-3 number, since 3×2138227814803 (a number of 35 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213822781480.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46878400 + ... + 46882960.

It is an arithmetic number, because the mean of its divisors is an integer number (2424064320).

Almost surely, 2213822781480 is an apocalyptic number.

213822781480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213822781480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310280232960).

213822781480 is an abundant number, since it is smaller than the sum of its proper divisors (406737684440).

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

213822781480 is a wasteful number, since it uses less digits than its factorization.

213822781480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5112 (or 5108 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 46.

The spelling of 213822781480 in words is "two hundred thirteen billion, eight hundred twenty-two million, seven hundred eighty-one thousand, four hundred eighty".