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345516051163503 = 31144327737852101
BaseRepresentation
bin100111010001111101011100…
…1011111100110100101101111
31200022101000022200022000202110
41032203322321133212211233
5330241413333044213003
63222503514352255103
7132530465563030443
oct11643727137464557
91608330280260673
10345516051163503
11a010159732a230
12329033aa541493
1311aa404043c68c
1461470cd56a823
1529e29eab30a03
hex13a3eb97e696f

345516051163503 has 32 divisors (see below), whose sum is σ = 503722019642112. Its totient is φ = 208923195104000.

The previous prime is 345516051163499. The next prime is 345516051163523. The reversal of 345516051163503 is 305361150615543.

It is a cyclic number.

It is not a de Polignac number, because 345516051163503 - 22 = 345516051163499 is a prime.

It is a super-2 number, since 2×3455160511635032 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345516051163523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405061153 + ... + 405913253.

It is an arithmetic number, because the mean of its divisors is an integer number (15741313113816).

Almost surely, 2345516051163503 is an apocalyptic number.

345516051163503 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

345516051163503 is a deficient number, since it is larger than the sum of its proper divisors (158205968478609).

345516051163503 is a wasteful number, since it uses less digits than its factorization.

345516051163503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880295.

The product of its (nonzero) digits is 2430000, while the sum is 48.

The spelling of 345516051163503 in words is "three hundred forty-five trillion, five hundred sixteen billion, fifty-one million, one hundred sixty-three thousand, five hundred three".

Divisors: 1 3 11 33 443 1329 4873 14619 27737 83211 305107 852101 915321 2556303 9373111 12287491 28119333 36862473 135162401 377480743 405487203 1132442229 4152288173 12456864519 23634725437 70904176311 259981979807 779945939421 10470183368591 31410550105773 115172017054501 345516051163503