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3455405313552 = 243318701427711
BaseRepresentation
bin110010010010000110001…
…101001100111000010000
3110020100000010201012022000
4302102012031030320100
5423103132230013202
611203220303514000
7504434110360353
oct62220615147020
913210003635260
103455405313552
11111247a243205
124798202b8900
131c0ac6a1b83a
14bd35763629a
155ed3a2eb91c
hex3248634ce10

3455405313552 has 80 divisors (see below), whose sum is σ = 9918846581760. Its totient is φ = 1151737488000.

The previous prime is 3455405313433. The next prime is 3455405313557. The reversal of 3455405313552 is 2553135045543.

3455405313552 is a `hidden beast` number, since 3 + 4 + 5 + 5 + 40 + 53 + 1 + 3 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3455405313498 and 3455405313507.

It is not an unprimeable number, because it can be changed into a prime (3455405313557) 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, 7864977 + ... + 8292687.

It is an arithmetic number, because the mean of its divisors is an integer number (123985582272).

Almost surely, 23455405313552 is an apocalyptic number.

It is an amenable number.

3455405313552 is an abundant number, since it is smaller than the sum of its proper divisors (6463441268208).

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

3455405313552 is a wasteful number, since it uses less digits than its factorization.

3455405313552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446429 (or 446417 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 3455405313552 in words is "three trillion, four hundred fifty-five billion, four hundred five million, three hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 18701 37402 56103 74804 112206 149608 168309 224412 299216 336618 427711 448824 504927 673236 855422 897648 1009854 1283133 1346472 1710844 2019708 2566266 2692944 3421688 3849399 4039416 5132532 6843376 7698798 8078832 10265064 11548197 15397596 20530128 23096394 30795192 46192788 61590384 92385576 184771152 7998623411 15997246822 23995870233 31994493644 47991740466 63988987288 71987610699 95983480932 127977974576 143975221398 191966961864 215962832097 287950442796 383933923728 431925664194 575900885592 863851328388 1151801771184 1727702656776 3455405313552