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212804970345 = 325112337505181
BaseRepresentation
bin1100011000110000101…
…0100010011101101001
3202100021202002120120100
43012030022202131221
511441311033022340
6241432233020013
721242335255032
oct3061412423551
9670252076510
10212804970345
1182282948a20
12352abb54609
13170b5186cc6
14a42a99da89
1558076ee830
hex318c2a2769

212804970345 has 96 divisors (see below), whose sum is σ = 431239521024. Its totient is φ = 96024614400.

The previous prime is 212804970341. The next prime is 212804970397. The reversal of 212804970345 is 543079408212.

212804970345 is a `hidden beast` number, since 2 + 128 + 0 + 497 + 0 + 34 + 5 = 666.

It is not a de Polignac number, because 212804970345 - 22 = 212804970341 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 212804970345.

It is not an unprimeable number, because it can be changed into a prime (212804970341) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 168655 + ... + 673835.

It is an arithmetic number, because the mean of its divisors is an integer number (4492078344).

Almost surely, 2212804970345 is an apocalyptic number.

It is an amenable number.

212804970345 is an abundant number, since it is smaller than the sum of its proper divisors (218434550679).

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

212804970345 is a wasteful number, since it uses less digits than its factorization.

212804970345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505263 (or 505260 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 212804970345 in words is "two hundred twelve billion, eight hundred four million, nine hundred seventy thousand, three hundred forty-five".

Divisors: 1 3 5 9 11 15 23 33 37 45 55 69 99 111 115 165 185 207 253 333 345 407 495 555 759 851 1035 1221 1265 1665 2035 2277 2553 3663 3795 4255 6105 7659 9361 11385 12765 18315 28083 38295 46805 84249 140415 421245 505181 1515543 2525905 4546629 5556991 7577715 11619163 16670973 18691697 22733145 27784955 34857489 50012919 56075091 58095815 83354865 93458485 104572467 127810793 168225273 174287445 205608667 250064595 280375455 383432379 429909031 522862335 616826001 639053965 841126365 1028043335 1150297137 1289727093 1850478003 1917161895 2149545155 3084130005 3869181279 4728999341 5751485685 6448635465 9252390015 14186998023 19345906395 23644996705 42560994069 70934990115 212804970345