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213870051960 = 233515146125603
BaseRepresentation
bin1100011100101110100…
…1100000001001111000
3202110000222020022212120
43013023221200021320
512001001213130320
6242130041241240
721310620306165
oct3071351401170
9673028208776
10213870051960
118277a083564
1235548793220
1317224a30106
14a4cc20d06c
15586ae89440
hex31cba60278

213870051960 has 128 divisors (see below), whose sum is σ = 647285506560. Its totient is φ = 56529216000.

The previous prime is 213870051949. The next prime is 213870051973. The reversal of 213870051960 is 69150078312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8340519 + ... + 8366121.

It is an arithmetic number, because the mean of its divisors is an integer number (5056918020).

Almost surely, 2213870051960 is an apocalyptic number.

213870051960 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 213870051960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323642753280).

213870051960 is an abundant number, since it is smaller than the sum of its proper divisors (433415454600).

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

213870051960 is a wasteful number, since it uses less digits than its factorization.

213870051960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26229 (or 26225 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 213870051960 in words is "two hundred thirteen billion, eight hundred seventy million, fifty-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 461 604 755 906 922 1208 1383 1510 1812 1844 2265 2305 2766 3020 3624 3688 4530 4610 5532 6040 6915 9060 9220 11064 13830 18120 18440 25603 27660 51206 55320 69611 76809 102412 128015 139222 153618 204824 208833 256030 278444 307236 348055 384045 417666 512060 556888 614472 696110 768090 835332 1024120 1044165 1392220 1536180 1670664 2088330 2784440 3072360 3866053 4176660 7732106 8353320 11598159 11802983 15464212 19330265 23196318 23605966 30928424 35408949 38660530 46392636 47211932 57990795 59014915 70817898 77321060 92785272 94423864 115981590 118029830 141635796 154642120 177044745 231963180 236059660 283271592 354089490 463926360 472119320 708178980 1416357960 1782250433 3564500866 5346751299 7129001732 8911252165 10693502598 14258003464 17822504330 21387005196 26733756495 35645008660 42774010392 53467512990 71290017320 106935025980 213870051960