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214512094692 = 223371511187787
BaseRepresentation
bin1100011111000111101…
…0101100110111100100
3202111200201100110221000
43013301322230313210
512003310044012232
6242313454353300
721332544501660
oct3076172546744
9674621313830
10214512094692
1182a79537795
12356a77bb830
13172c7a5925c
14a54d5bb8a0
1558a750e27c
hex31f1eacde4

214512094692 has 96 divisors (see below), whose sum is σ = 636015421440. Its totient is φ = 61248281760.

The previous prime is 214512094679. The next prime is 214512094717. The reversal of 214512094692 is 296490215412.

214512094692 is a `hidden beast` number, since 2 + 1 + 4 + 512 + 0 + 9 + 46 + 92 = 666.

214512094692 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1048423 + ... + 1236209.

It is an arithmetic number, because the mean of its divisors is an integer number (6625160640).

Almost surely, 2214512094692 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 214512094692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318007710720).

214512094692 is an abundant number, since it is smaller than the sum of its proper divisors (421503326748).

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

214512094692 is a wasteful number, since it uses less digits than its factorization.

214512094692 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189318 (or 189310 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 214512094692 in words is "two hundred fourteen billion, five hundred twelve million, ninety-four thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 1511 3022 4533 6044 9066 10577 13599 18132 21154 27198 31731 40797 42308 54396 63462 81594 95193 126924 163188 187787 190386 285579 375574 380772 563361 571158 751148 1126722 1142316 1314509 1690083 2253444 2629018 3380166 3943527 5070249 5258036 6760332 7887054 10140498 11830581 15774108 20280996 23661162 35491743 47322324 70983486 141966972 283746157 567492314 851238471 1134984628 1702476942 1986223099 2553715413 3404953884 3972446198 5107430826 5958669297 7661146239 7944892396 10214861652 11917338594 15322292478 17876007891 23834677188 30644584956 35752015782 53628023673 71504031564 107256047346 214512094692