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64145335156362 = 232233491053142157
BaseRepresentation
bin11101001010110111111111…
…11010100111111010001010
322102010020022200211010022100
432211123333322213322022
531401424121300000422
6344231543221134230
716340230126410555
oct1645337772477212
9272106280733270
1064145335156362
111949097a480849
12723b966b5a376
1329a3b57654565
1411ba917a8b69c
15763879d3b7ac
hex3a56ffea7e8a

64145335156362 has 96 divisors (see below), whose sum is σ = 145457039145600. Its totient is φ = 20391113508480.

The previous prime is 64145335156333. The next prime is 64145335156387. The reversal of 64145335156362 is 26365153354146.

64145335156362 is a `hidden beast` number, since 6 + 4 + 1 + 4 + 5 + 3 + 3 + 515 + 63 + 62 = 666.

It is a super-2 number, since 2×641453351563622 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 64145335156299 and 64145335156308.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1521560988 + ... + 1521603144.

It is an arithmetic number, because the mean of its divisors is an integer number (1515177491100).

Almost surely, 264145335156362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64145335156362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72728519572800).

64145335156362 is an abundant number, since it is smaller than the sum of its proper divisors (81311703989238).

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

64145335156362 is a wasteful number, since it uses less digits than its factorization.

64145335156362 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53068 (or 53065 counting only the distinct ones).

The product of its digits is 23328000, while the sum is 54.

The spelling of 64145335156362 in words is "sixty-four trillion, one hundred forty-five billion, three hundred thirty-five million, one hundred fifty-six thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 349 414 698 1047 2094 3141 6282 8027 10531 16054 21062 24081 31593 42157 48162 63186 72243 84314 94779 126471 144486 189558 242213 252942 379413 484426 726639 758826 969611 1453278 1939222 2179917 2908833 3675319 4359834 5817666 7350638 8726499 11025957 14712793 17452998 22051914 29425586 33077871 44138379 66155742 84532337 88276758 132415137 169064674 253597011 264830274 338394239 443955367 507194022 676788478 760791033 887910734 1015182717 1331866101 1521582066 2030365434 2663732202 3045548151 3995598303 6091096302 7991196606 10210973441 20421946882 30632920323 61265840646 91898760969 154940423083 183797521938 309880846166 464821269249 929642538498 1394463807747 2788927615494 3563629730909 7127259461818 10690889192727 21381778385454 32072667578181 64145335156362