Search a number
-
+
216373601607870 = 235717480731260767
BaseRepresentation
bin110001001100101001100111…
…101010011010000010111110
31001101010010002022201222002210
4301030221213222122002332
5211330031114002422440
62044104354344401250
763401322361525050
oct6114514752320276
91041103068658083
10216373601607870
1162a41590294413
12203267a1476226
139396c34c44345
143b60776b478d0
151a03592017a80
hexc4ca67a9a0be

216373601607870 has 128 divisors (see below), whose sum is σ = 628406147506176. Its totient is φ = 46546593140736.

The previous prime is 216373601607847. The next prime is 216373601607871. The reversal of 216373601607870 is 78706106373612.

216373601607870 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2163736016078702 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 216373601607870.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216373601607871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 170990227 + ... + 172250993.

It is an arithmetic number, because the mean of its divisors is an integer number (4909423027392).

Almost surely, 2216373601607870 is an apocalyptic number.

216373601607870 is an abundant number, since it is smaller than the sum of its proper divisors (412032545898306).

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

216373601607870 is a wasteful number, since it uses less digits than its factorization.

216373601607870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1308874.

The product of its (nonzero) digits is 10668672, while the sum is 57.

The spelling of 216373601607870 in words is "two hundred sixteen trillion, three hundred seventy-three billion, six hundred one million, six hundred seven thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 17 21 30 34 35 42 51 70 85 102 105 119 170 210 238 255 357 510 595 714 1190 1785 3570 48073 96146 144219 240365 288438 336511 480730 673022 721095 817241 1009533 1260767 1442190 1634482 1682555 2019066 2451723 2521534 3365110 3782301 4086205 4903446 5047665 5720687 6303835 7564602 8172410 8825369 10095330 11441374 12258615 12607670 17162061 17650738 18911505 21433039 24517230 26476107 28603435 34324122 37823010 42866078 44126845 52952214 57206870 64299117 85810305 88253690 107165195 128598234 132380535 150031273 171620610 214330390 264761070 300062546 321495585 450093819 642991170 750156365 900187638 1500312730 2250469095 4500938190 60608851991 121217703982 181826555973 303044259955 363653111946 424261963937 606088519910 848523927874 909132779865 1030350483847 1272785891811 1818265559730 2060700967694 2121309819685 2545571783622 3091051451541 4242619639370 5151752419235 6182102903082 6363929459055 7212453386929 10303504838470 12727858918110 14424906773858 15455257257705 21637360160787 30910514515410 36062266934645 43274720321574 72124533869290 108186800803935 216373601607870