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2735385147552 = 253235920997491
BaseRepresentation
bin100111110011100001101…
…010001111100010100000
3100200111111200201222202110
4213303201222033202200
5324304032044210202
65452341340515320
7401424252060051
oct47634152174240
910614450658673
102735385147552
11965085671582
12382176b4bb40
1316ac3a966135
14965714ba728
154b24884326c
hex27ce1a8f8a0

2735385147552 has 96 divisors (see below), whose sum is σ = 7619569896960. Its totient is φ = 857369511680.

The previous prime is 2735385147497. The next prime is 2735385147619. The reversal of 2735385147552 is 2557415835372.

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

It is a junction number, because it is equal to n+sod(n) for n = 2735385147492 and 2735385147501.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10368474 + ... + 10629017.

It is an arithmetic number, because the mean of its divisors is an integer number (79370519760).

Almost surely, 22735385147552 is an apocalyptic number.

It is an amenable number.

2735385147552 is an abundant number, since it is smaller than the sum of its proper divisors (4884184749408).

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

2735385147552 is a wasteful number, since it uses less digits than its factorization.

2735385147552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20997586 (or 20997578 counting only the distinct ones).

The product of its digits is 35280000, while the sum is 57.

The spelling of 2735385147552 in words is "two trillion, seven hundred thirty-five billion, three hundred eighty-five million, one hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 59 69 92 96 118 138 177 184 236 276 354 368 472 552 708 736 944 1104 1357 1416 1888 2208 2714 2832 4071 5428 5664 8142 10856 16284 21712 32568 43424 65136 130272 20997491 41994982 62992473 83989964 125984946 167979928 251969892 335959856 482942293 503939784 671919712 965884586 1007879568 1238851969 1448826879 1931769172 2015759136 2477703938 2897653758 3716555907 3863538344 4955407876 5795307516 7433111814 7727076688 9910815752 11590615032 14866223628 15454153376 19821631504 23181230064 28493595287 29732447256 39643263008 46362460128 56987190574 59464894512 85480785861 113974381148 118929789024 170961571722 227948762296 341923143444 455897524592 683846286888 911795049184 1367692573776 2735385147552