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355304444402052 = 223297109937925513
BaseRepresentation
bin101000011001001011100001…
…1001100100001100110000100
31201121000202212122002000121200
41100302113003030201212010
5333032302000231331202
63255400335230142500
7134560620232535265
oct12062270314414604
91647022778060550
10355304444402052
11a3235850108412
1233a2446b651a30
13123340b0729042
1463a4b80cc096c
152b1243d658e1c
hex14325c3321984

355304444402052 has 72 divisors (see below), whose sum is σ = 907398992221176. Its totient is φ = 117212644491264.

The previous prime is 355304444401999. The next prime is 355304444402053. The reversal of 355304444402052 is 250204444403553.

355304444402052 is a `hidden beast` number, since 3 + 5 + 530 + 4 + 4 + 4 + 4 + 40 + 20 + 52 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1594199163456 + 353710245238596 = 1262616^2 + 18807186^2 .

It is a junction number, because it is equal to n+sod(n) for n = 355304444401989 and 355304444402007.

It is not an unprimeable number, because it can be changed into a prime (355304444402053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383437248 + ... + 384362760.

Almost surely, 2355304444402052 is an apocalyptic number.

It is an amenable number.

355304444402052 is an abundant number, since it is smaller than the sum of its proper divisors (552094547819124).

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

355304444402052 is a wasteful number, since it uses less digits than its factorization.

355304444402052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035557 (or 1035552 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 45.

The spelling of 355304444402052 in words is "three hundred fifty-five trillion, three hundred four billion, four hundred forty-four million, four hundred two thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 109937 219874 329811 439748 659622 925513 989433 1319244 1851026 1978866 2776539 3702052 3957732 5553078 8329617 10663889 11106156 16659234 21327778 31991667 33318468 42655556 63983334 89774761 95975001 127966668 179549522 191950002 269324283 359099044 383900004 538648566 807972849 1077297132 1615945698 3231891396 101748122681 203496245362 305244368043 406992490724 610488736086 915733104129 1220977472172 1831466208258 3662932416516 9869567900057 19739135800114 29608703700171 39478271600228 59217407400342 88826111100513 118434814800684 177652222201026 355304444402052