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67906786220 = 225721319280537
BaseRepresentation
bin111111001111100011…
…110101001110101100
320111021112121011101022
4333033203311032230
52103033114124340
651110154033312
74622536105400
oct771743651654
9214245534338
1067906786220
1126887679629
12111b1a18838
136532894610
143402a15100
151b769893b5
hexfcf8f53ac

67906786220 has 144 divisors (see below), whose sum is σ = 188050232160. Its totient is φ = 20360180736.

The previous prime is 67906786219. The next prime is 67906786223. The reversal of 67906786220 is 2268760976.

It is a super-2 number, since 2×679067862202 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (53) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (67906786223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 101792 + ... + 382328.

It is an arithmetic number, because the mean of its divisors is an integer number (1305904390).

Almost surely, 267906786220 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 67906786220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94025116080).

67906786220 is an abundant number, since it is smaller than the sum of its proper divisors (120143445940).

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

67906786220 is a wasteful number, since it uses less digits than its factorization.

67906786220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280592 (or 280583 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 67906786220 in words is "sixty-seven billion, nine hundred six million, seven hundred eighty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 49 52 65 70 76 91 95 98 130 133 140 182 190 196 245 247 260 266 364 380 455 490 494 532 637 665 910 931 980 988 1235 1274 1330 1729 1820 1862 2470 2548 2660 3185 3458 3724 4655 4940 6370 6916 8645 9310 12103 12740 17290 18620 24206 34580 48412 60515 121030 242060 280537 561074 1122148 1402685 1963759 2805370 3646981 3927518 5330203 5610740 7293962 7855036 9818795 10660406 13746313 14587924 18234905 19637590 21320812 25528867 26651015 27492626 36469810 37311421 39275180 51057734 53302030 54985252 68731565 69292639 72939620 74622842 102115468 106604060 127644335 137463130 138585278 149245684 178702069 186557105 255288670 261179947 274926260 277170556 346463195 357404138 373114210 485048473 510577340 522359894 692926390 714808276 746228420 893510345 970096946 1044719788 1305899735 1385852780 1787020690 1940193892 2425242365 2611799470 3395339311 3574041380 4850484730 5223598940 6790678622 9700969460 13581357244 16976696555 33953393110 67906786220