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345536256045460 = 225151227504035149
BaseRepresentation
bin100111010010000110110110…
…1110011000111000110010100
31200022102221110210100101012211
41032210031231303013012110
5330242231223021423320
63222521055321123204
7132532112353504024
oct11644155563070624
91608387423311184
10345536256045460
11a010a115476087
12329072a9029504
1311aa5c103c072c
146148088b45a84
1529e32ce86c55a
hex13a436dcc7194

345536256045460 has 48 divisors (see below), whose sum is σ = 733649370652800. Its totient is φ = 136694332137600.

The previous prime is 345536256045397. The next prime is 345536256045467. The reversal of 345536256045460 is 64540652635543.

It is a super-2 number, since 2×3455362560454602 (a number of 30 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (58) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 345536256045395 and 345536256045404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345536256045467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 251332035 + ... + 252703114.

It is an arithmetic number, because the mean of its divisors is an integer number (15284361888600).

Almost surely, 2345536256045460 is an apocalyptic number.

It is an amenable number.

345536256045460 is an abundant number, since it is smaller than the sum of its proper divisors (388113114607340).

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

345536256045460 is a wasteful number, since it uses less digits than its factorization.

345536256045460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504035536 (or 504035534 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 58.

The spelling of 345536256045460 in words is "three hundred forty-five trillion, five hundred thirty-six billion, two hundred fifty-six million, forty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 151 227 302 454 604 755 908 1135 1510 2270 3020 4540 34277 68554 137108 171385 342770 685540 504035149 1008070298 2016140596 2520175745 5040351490 10080702980 76109307499 114415978823 152218614998 228831957646 304437229996 380546537495 457663915292 572079894115 761093074990 1144159788230 1522186149980 2288319576460 17276812802273 34553625604546 69107251209092 86384064011365 172768128022730 345536256045460