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213380677984 = 2553661190339
BaseRepresentation
bin1100011010111001111…
…0101100000101100000
3202101202212101112222111
43012232132230011200
511444000423143414
6242005320245104
721262525556665
oct3065636540540
9671685345874
10213380677984
1182548914661
1235430910794
1317177528806
14a483221a6c
15583d01e8c4
hex31ae7ac160

213380677984 has 48 divisors (see below), whose sum is σ = 428669282160. Its totient is φ = 104518402560.

The previous prime is 213380677967. The next prime is 213380677997. The reversal of 213380677984 is 489776083312.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1025887 + ... + 1216225.

It is an arithmetic number, because the mean of its divisors is an integer number (8930610045).

Almost surely, 2213380677984 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 213380677984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214334641080).

213380677984 is an abundant number, since it is smaller than the sum of its proper divisors (215288604176).

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

213380677984 is a wasteful number, since it uses less digits than its factorization.

213380677984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191063 (or 191055 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 213380677984 in words is "two hundred thirteen billion, three hundred eighty million, six hundred seventy-seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 32 53 106 212 424 661 848 1322 1696 2644 5288 10576 21152 35033 70066 140132 190339 280264 380678 560528 761356 1121056 1522712 3045424 6090848 10087967 20175934 40351868 80703736 125814079 161407472 251628158 322814944 503256316 1006512632 2013025264 4026050528 6668146187 13336292374 26672584748 53345169496 106690338992 213380677984