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213044975360 = 2857219317379
BaseRepresentation
bin1100011001101001111…
…0000101011100000000
3202100220110201002112222
43012122132011130000
511442304003202420
6241512125110212
721251311261100
oct3063236053400
9670813632488
10213044975360
1182396375278
12353583b8368
1317122b0a1c9
14a4507d7200
15581d80c225
hex319a785700

213044975360 has 864 divisors, whose sum is σ = 662138265600. Its totient is φ = 65213890560.

The previous prime is 213044975321. The next prime is 213044975387. The reversal of 213044975360 is 63579440312.

It is a super-2 number, since 2×2130449753602 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2696771801 + ... + 2696771879.

Almost surely, 2213044975360 is an apocalyptic number.

213044975360 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 213044975360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331069132800).

213044975360 is an abundant number, since it is smaller than the sum of its proper divisors (449093290240).

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

213044975360 is a wasteful number, since it uses less digits than its factorization.

213044975360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 44.

The spelling of 213044975360 in words is "two hundred thirteen billion, forty-four million, nine hundred seventy-five thousand, three hundred sixty".