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357245541420 = 22357385994951
BaseRepresentation
bin1010011001011010111…
…11100101110000101100
31021011010001111211122220
411030231133211300230
521323114324311140
6432041043435340
734544606666505
oct5145537456054
91234101454586
10357245541420
11128563881909
12592a0985b50
13278c3a15741
141340dc67bac
15945d1c0bd0
hex532d7e5c2c

357245541420 has 96 divisors (see below), whose sum is σ = 1015181207040. Its totient is φ = 93850099200.

The previous prime is 357245541397. The next prime is 357245541427. The reversal of 357245541420 is 24145542753.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (357245541427) 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, 3714945 + ... + 3809895.

It is an arithmetic number, because the mean of its divisors is an integer number (10574804240).

Almost surely, 2357245541420 is an apocalyptic number.

357245541420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 357245541420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507590603520).

357245541420 is an abundant number, since it is smaller than the sum of its proper divisors (657935665620).

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

357245541420 is a wasteful number, since it uses less digits than its factorization.

357245541420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95895 (or 95893 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 357245541420 in words is "three hundred fifty-seven billion, two hundred forty-five million, five hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 859 876 1095 1460 1718 2190 2577 3436 4295 4380 5154 8590 10308 12885 17180 25770 51540 62707 94951 125414 188121 189902 250828 284853 313535 376242 379804 474755 569706 627070 752484 940605 949510 1139412 1254140 1424265 1881210 1899020 2848530 3762420 5697060 6931423 13862846 20794269 27725692 34657115 41588538 69314230 81562909 83177076 103971345 138628460 163125818 207942690 244688727 326251636 407814545 415885380 489377454 815629090 978754908 1223443635 1631258180 2446887270 4893774540 5954092357 11908184714 17862277071 23816369428 29770461785 35724554142 59540923570 71449108284 89311385355 119081847140 178622770710 357245541420