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3465136169952 = 253160931877039
BaseRepresentation
bin110010011011001010001…
…101011110001111100000
3110021021010022000220210220
4302123022031132033200
5423233044324414302
611211510033523040
7505230206316162
oct62331215361740
913237108026726
103465136169952
111116613039696
1247b697113480
131c19b7a22c32
14bd9dbb38932
15602097434bc
hex326ca35e3e0

3465136169952 has 96 divisors (see below), whose sum is σ = 9105784934400. Its totient is φ = 1153801387008.

The previous prime is 3465136169939. The next prime is 3465136169959. The reversal of 3465136169952 is 2599616315643.

3465136169952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3465136169959) 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, 492273249 + ... + 492280287.

It is an arithmetic number, because the mean of its divisors is an integer number (94851926400).

Almost surely, 23465136169952 is an apocalyptic number.

3465136169952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3465136169952 is an abundant number, since it is smaller than the sum of its proper divisors (5640648764448).

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

3465136169952 is a wasteful number, since it uses less digits than its factorization.

3465136169952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11848 (or 11840 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 60.

The spelling of 3465136169952 in words is "three trillion, four hundred sixty-five billion, one hundred thirty-six million, one hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1609 3187 3218 4827 6374 6436 7039 9561 9654 12748 12872 14078 19122 19308 21117 25496 25744 28156 38244 38616 42234 50992 51488 56312 76488 77232 84468 101984 112624 152976 154464 168936 225248 305952 337872 675744 5127883 10255766 11325751 15383649 20511532 22433293 22651502 30767298 33977253 41023064 44866586 45303004 61534596 67299879 67954506 82046128 89733172 90606008 123069192 134599758 135909012 164092256 179466344 181212016 246138384 269199516 271818024 358932688 362424032 492276768 538399032 543636048 717865376 1076798064 1087272096 2153596128 36095168437 72190336874 108285505311 144380673748 216571010622 288761347496 433142021244 577522694992 866284042488 1155045389984 1732568084976 3465136169952