Search a number
-
+
212064451236 = 2232112329802873
BaseRepresentation
bin1100010110000000000…
…1101011101010100100
3202021101010200022022200
43011200001223222210
511433301444414421
6241230541054500
721215104044141
oct3054001535244
9667333608280
10212064451236
1181a32943a60
1235123b57430
1316cc792ba11
14a39a4b93c8
1557b26c6726
hex316006baa4

212064451236 has 144 divisors (see below), whose sum is σ = 631251653760. Its totient is φ = 59348298240.

The previous prime is 212064451229. The next prime is 212064451243. The reversal of 212064451236 is 632154460212.

212064451236 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 644 + 5 + 1 + 2 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (212064451229) and next prime (212064451243).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 212064451236.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137305 + ... + 665568.

It is an arithmetic number, because the mean of its divisors is an integer number (4383692040).

Almost surely, 2212064451236 is an apocalyptic number.

It is an amenable number.

212064451236 is an abundant number, since it is smaller than the sum of its proper divisors (419187202524).

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

212064451236 is a wasteful number, since it uses less digits than its factorization.

212064451236 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802946 (or 802941 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 212064451236 in words is "two hundred twelve billion, sixty-four million, four hundred fifty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 29 33 36 44 46 58 66 69 87 92 99 116 132 138 174 198 207 253 261 276 319 348 396 414 506 522 638 667 759 828 957 1012 1044 1276 1334 1518 1914 2001 2277 2668 2871 3036 3828 4002 4554 5742 6003 7337 8004 9108 11484 12006 14674 22011 24012 29348 44022 66033 88044 132066 264132 802873 1605746 2408619 3211492 4817238 7225857 8831603 9634476 14451714 17663206 18466079 23283317 26494809 28903428 35326412 36932158 46566634 52989618 55398237 69849951 73864316 79484427 93133268 105979236 110796474 139699902 158968854 166194711 203126869 209549853 221592948 256116487 279399804 317937708 332389422 406253738 419099706 512232974 535516291 609380607 664778844 768349461 812507476 838199412 1024465948 1071032582 1218761214 1536698922 1606548873 1828141821 2142065164 2305048383 2437522428 3073397844 3213097746 3656283642 4610096766 4819646619 5890679201 6426195492 7312567284 9220193532 9639293238 11781358402 17672037603 19278586476 23562716804 35344075206 53016112809 70688150412 106032225618 212064451236