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3352541041152 = 29322925087861
BaseRepresentation
bin110000110010010011000…
…001001001001000000000
3102212111111100102201222100
4300302103001021020000
5414412001001304102
611044045221310400
7464133043443432
oct60622301111000
912774440381870
103352541041152
111082894020936
124618b3265400
131b41b299a374
14b839a020652
155c3198cda1c
hex30c93049200

3352541041152 has 120 divisors (see below), whose sum is σ = 10009304302140. Its totient is φ = 1078978682880.

The previous prime is 3352541041039. The next prime is 3352541041153. The reversal of 3352541041152 is 2511401452533.

3352541041152 is a `hidden beast` number, since 3 + 3 + 52 + 5 + 410 + 41 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3098670172416 + 253870868736 = 1760304^2 + 503856^2 .

It is a super-2 number, since 2×33525410411522 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3352541041153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12410299 + ... + 12677562.

Almost surely, 23352541041152 is an apocalyptic number.

3352541041152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3352541041152 is an abundant number, since it is smaller than the sum of its proper divisors (6656763260988).

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

3352541041152 is a wasteful number, since it uses less digits than its factorization.

3352541041152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25087914 (or 25087895 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 3352541041152 its reverse (2511401452533), we get a palindrome (5863942493685).

The spelling of 3352541041152 in words is "three trillion, three hundred fifty-two billion, five hundred forty-one million, forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 256 261 288 348 384 464 512 522 576 696 768 928 1044 1152 1392 1536 1856 2088 2304 2784 3712 4176 4608 5568 7424 8352 11136 14848 16704 22272 33408 44544 66816 133632 25087861 50175722 75263583 100351444 150527166 200702888 225790749 301054332 401405776 451581498 602108664 727547969 802811552 903162996 1204217328 1455095938 1605623104 1806325992 2182643907 2408434656 2910191876 3211246208 3612651984 4365287814 4816869312 5820383752 6422492416 6547931721 7225303968 8730575628 9633738624 11640767504 12844984832 13095863442 14450607936 17461151256 19267477248 23281535008 26191726884 28901215872 34922302512 38534954496 46563070016 52383453768 57802431744 69844605024 93126140032 104766907536 115604863488 139689210048 186252280064 209533815072 279378420096 372504560128 419067630144 558756840192 838135260288 1117513680384 1676270520576 3352541041152