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345530050545504 = 253111719247440427
BaseRepresentation
bin100111010010000011111101…
…1111011000000011101100000
31200022102100110022121022121010
41032210013323323000131200
5330242131020414424004
63222514151443500520
7132531502522563306
oct11644077373003540
91608370408538533
10345530050545504
11a0107520646120
1232906056987740
1311aa5461893176
146147a5a922276
1529e3069b90a89
hex13a41fbec0760

345530050545504 has 96 divisors (see below), whose sum is σ = 1047676677376896. Its totient is φ = 98546894981120.

The previous prime is 345530050545499. The next prime is 345530050545569. The reversal of 345530050545504 is 405545050035543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3455300505455042 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9623702262 + ... + 9623738165.

It is an arithmetic number, because the mean of its divisors is an integer number (10913298722676).

Almost surely, 2345530050545504 is an apocalyptic number.

345530050545504 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

345530050545504 is an abundant number, since it is smaller than the sum of its proper divisors (702146626831392).

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

345530050545504 is a wasteful number, since it uses less digits than its factorization.

345530050545504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19247440468 (or 19247440460 counting only the distinct ones).

The product of its (nonzero) digits is 9000000, while the sum is 48.

The spelling of 345530050545504 in words is "three hundred forty-five trillion, five hundred thirty billion, fifty million, five hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 66 68 88 96 102 132 136 176 187 204 264 272 352 374 408 528 544 561 748 816 1056 1122 1496 1632 2244 2992 4488 5984 8976 17952 19247440427 38494880854 57742321281 76989761708 115484642562 153979523416 211721844697 230969285124 307959046832 327206487259 423443689394 461938570248 615918093664 635165534091 654412974518 846887378788 923877140496 981619461777 1270331068182 1308825949036 1693774757576 1847754280992 1963238923554 2540662136364 2617651898072 3387549515152 3599271359849 3926477847108 5081324272728 5235303796144 6775099030304 7198542719698 7852955694216 10162648545456 10470607592288 10797814079547 14397085439396 15705911388432 20325297090912 21595628159094 28794170878792 31411822776864 43191256318188 57588341757584 86382512636376 115176683515168 172765025272752 345530050545504