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3450232273664 = 281147131198997
BaseRepresentation
bin110010001101010001110…
…111100111101100000000
3110012211122121201112122002
4302031101313213230000
5423012033430224124
611201003111403132
7504161654303411
oct62152167475400
913184577645562
103450232273664
111110265197830
124788179834a8
131c04810850a7
14bcdc65ad808
155eb360b40ae
hex32351de7b00

3450232273664 has 144 divisors (see below), whose sum is σ = 7731540343296. Its totient is φ = 1523194982400.

The previous prime is 3450232273627. The next prime is 3450232273669. The reversal of 3450232273664 is 4663722320543.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (3450232273669) 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, 17238614 + ... + 17437610.

It is an arithmetic number, because the mean of its divisors is an integer number (53691252384).

Almost surely, 23450232273664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3450232273664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865770171648).

3450232273664 is an abundant number, since it is smaller than the sum of its proper divisors (4281308069632).

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

3450232273664 is a wasteful number, since it uses less digits than its factorization.

3450232273664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199202 (or 199188 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 47.

The spelling of 3450232273664 in words is "three trillion, four hundred fifty billion, two hundred thirty-two million, two hundred seventy-three thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 47 64 88 94 128 131 176 188 256 262 352 376 517 524 704 752 1034 1048 1408 1441 1504 2068 2096 2816 2882 3008 4136 4192 5764 6016 6157 8272 8384 11528 12032 12314 16544 16768 23056 24628 33088 33536 46112 49256 66176 67727 92224 98512 132352 135454 184448 197024 198997 270908 368896 394048 397994 541816 788096 795988 1083632 1576192 1591976 2167264 2188967 3183952 4334528 4377934 6367904 8669056 8755868 9352859 12735808 17338112 17511736 18705718 25471616 26068607 35023472 37411436 50943232 52137214 70046944 74822872 102881449 104274428 140093888 149645744 205762898 208548856 280187776 286754677 299291488 411525796 417097712 560375552 573509354 598582976 823051592 834195424 1147018708 1197165952 1225224529 1646103184 1668390848 2294037416 2394331904 2450449058 3292206368 3336781696 4588074832 4900898116 6584412736 6673563392 9176149664 9801796232 13168825472 13477469819 18352299328 19603592464 26337650944 26954939638 36704598656 39207184928 53909879276 73409197312 78414369856 107819758552 156828739712 215639517104 313657479424 431279034208 862558068416 1725116136832 3450232273664