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7229107670408 = 231328328812
BaseRepresentation
bin110100100110010100001…
…1001010000110110001000
3221121002120221110112011122
41221030220121100312020
51421420203030423113
623213001202014412
71344200012222111
oct151145031206610
927532527415148
107229107670408
1123379358aa0a8
12989071647408
134059181a0600
141adc68041208
15c80a4288408
hex69328650d88

7229107670408 has 108 divisors (see below), whose sum is σ = 14873290703055. Its totient is φ = 3292570744320.

The previous prime is 7229107670347. The next prime is 7229107670417. The reversal of 7229107670408 is 8040767019227.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 12480911524 + 7216626758884 = 111718^2 + 2686378^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1901198.

It is a super-3 number, since 3×72291076704083 (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 7229107670408.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 8205570128 + ... + 8205571008.

Almost surely, 27229107670408 is an apocalyptic number.

7229107670408 is the 1552322-nd octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7229107670408

7229107670408 is an abundant number, since it is smaller than the sum of its proper divisors (7644183032647).

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

7229107670408 is an frugal number, since it uses more digits than its factorization.

7229107670408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 53.

The spelling of 7229107670408 in words is "seven trillion, two hundred twenty-nine billion, one hundred seven million, six hundred seventy thousand, four hundred eight".

Divisors: 1 2 4 8 13 26 52 83 104 166 169 332 338 664 676 881 1079 1352 1762 2158 3524 4316 6889 7048 8632 11453 13778 14027 22906 27556 28054 45812 55112 56108 73123 89557 91624 112216 146246 148889 179114 292492 297778 358228 584984 595556 716456 776161 950599 1164241 1191112 1552322 1901198 2328482 3104644 3802396 4656964 6069209 6209288 7604792 9313928 10090093 12138418 12357787 20180186 24276836 24715574 40360372 48553672 49431148 64421363 78899717 80720744 98862296 128842726 131171209 157799434 257685452 262342418 315598868 515370904 524684836 631197736 837477719 1025696321 1049369672 1674955438 2051392642 3349910876 4102785284 5346973129 6699821752 8205570568 10693946258 10887210347 21387892516 21774420694 42775785032 43548841388 69510650677 87097682776 139021301354 278042602708 556085205416 903638458801 1807276917602 3614553835204 7229107670408