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357138973060 = 2254131092377
BaseRepresentation
bin1010011001001110010…
…01000100000110000100
31021010211121222121100121
411030213021010012010
521322410034114220
6432022315351324
734542144116542
oct5144711040604
91233747877317
10357138973060
11128509704491
1259271152544
13278a791233c
14133dda46d92
159453b6eeaa
hex5327244184

357138973060 has 96 divisors (see below), whose sum is σ = 776120415840. Its totient is φ = 138034575360.

The previous prime is 357138973039. The next prime is 357138973069. The reversal of 357138973060 is 60379831753.

It can be written as a sum of positive squares in 16 ways, for example, as 354682184704 + 2456788356 = 595552^2 + 49566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 357138972989 and 357138973007.

It is not an unprimeable number, because it can be changed into a prime (357138973069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150246592 + ... + 150248968.

It is an arithmetic number, because the mean of its divisors is an integer number (8084587665).

Almost surely, 2357138973060 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 357138973060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388060207920).

357138973060 is an abundant number, since it is smaller than the sum of its proper divisors (418981442780).

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

357138973060 is a wasteful number, since it uses less digits than its factorization.

357138973060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618 (or 2534 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 357138973060 in words is "three hundred fifty-seven billion, one hundred thirty-eight million, nine hundred seventy-three thousand, sixty".

Divisors: 1 2 4 5 10 20 41 82 109 164 205 218 410 436 545 820 1090 1681 2180 2377 3362 4469 4754 6724 8405 8938 9508 11885 16810 17876 22345 23770 33620 44690 47540 68921 89380 97457 137842 183229 194914 259093 275684 344605 366458 389828 487285 518186 689210 732916 916145 974570 1036372 1295465 1378420 1832290 1949140 2590930 3664580 3995737 5181860 7512389 7991474 10622813 15024778 15982948 19978685 21245626 30049556 37561945 39957370 42491252 53114065 75123890 79914740 106228130 150247780 163825217 212456260 327650434 435535333 655300868 819126085 871070666 1638252170 1742141332 2177676665 3276504340 4355353330 8710706660 17856948653 35713897306 71427794612 89284743265 178569486530 357138973060