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345293486058990 = 23573153040474049
BaseRepresentation
bin100111010000010101110011…
…1100101000110110111101110
31200021120201211201210021010110
41032200223213211012313232
5330224242024412341430
63222213345421520450
7132505426321613640
oct11640534745066756
91607521751707113
10345293486058990
11a0026166109027
1232888235a13126
1311a8906119cc71
14613a418646890
1529dbd216547b0
hex13a0ae7946dee

345293486058990 has 64 divisors (see below), whose sum is σ = 977642017689600. Its totient is φ = 76378282629120.

The previous prime is 345293486058973. The next prime is 345293486059033. The reversal of 345293486058990 is 99850684392543.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26520230515 + ... + 26520243534.

It is an arithmetic number, because the mean of its divisors is an integer number (15275656526400).

Almost surely, 2345293486058990 is an apocalyptic number.

345293486058990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

345293486058990 is an abundant number, since it is smaller than the sum of its proper divisors (632348531630610).

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

345293486058990 is a wasteful number, since it uses less digits than its factorization.

345293486058990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53040474097.

The product of its (nonzero) digits is 2015539200, while the sum is 75.

The spelling of 345293486058990 in words is "three hundred forty-five trillion, two hundred ninety-three billion, four hundred eighty-six million, fifty-eight thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 1085 1302 2170 3255 6510 53040474049 106080948098 159121422147 265202370245 318242844294 371283318343 530404740490 742566636686 795607110735 1113849955029 1591214221470 1644254695519 1856416591715 2227699910058 3288509391038 3712833183430 4932764086557 5569249775145 8221273477595 9865528173114 11138499550290 11509782868633 16442546955190 23019565737266 24663820432785 34529348605899 49327640865570 57548914343165 69058697211798 115097828686330 172646743029495 345293486058990