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2533428795552 = 25371527370489
BaseRepresentation
bin100100110111011100000…
…111111001100010100000
322222012020000020022211120
4210313130013321202200
5313001430232424202
65215501403212240
7351014504311644
oct44673407714240
98865200208746
102533428795552
1189746a566146
1234abb4217080
13154b94242a35
148a893662c24
1545d7877e0bc
hex24ddc1f98a0

2533428795552 has 96 divisors (see below), whose sum is σ = 6745290733440. Its totient is φ = 832412528640.

The previous prime is 2533428795503. The next prime is 2533428795581. The reversal of 2533428795552 is 2555978243352.

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

It is a super-2 number, since 2×25334287955522 (a number of 26 digits) contains 22 as substring.

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, 35905524 + ... + 35976012.

It is an arithmetic number, because the mean of its divisors is an integer number (70263445140).

Almost surely, 22533428795552 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 2533428795552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372645366720).

2533428795552 is an abundant number, since it is smaller than the sum of its proper divisors (4211861937888).

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

2533428795552 is a wasteful number, since it uses less digits than its factorization.

2533428795552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75846 (or 75838 counting only the distinct ones).

The product of its digits is 90720000, while the sum is 60.

The spelling of 2533428795552 in words is "two trillion, five hundred thirty-three billion, four hundred twenty-eight million, seven hundred ninety-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2272 3408 5273 6816 10546 15819 21092 31638 42184 63276 70489 84368 126552 140978 168736 211467 253104 281956 374383 422934 506208 563912 748766 845868 1123149 1127824 1497532 1691736 2246298 2255648 2995064 3383472 4492596 5004719 5990128 6766944 8985192 10009438 11980256 15014157 17970384 20018876 30028314 35940768 40037752 60056628 80075504 120113256 160151008 240226512 371688497 480453024 743376994 1115065491 1486753988 2230130982 2973507976 4460261964 5947015952 8920523928 11894031904 17841047856 26389883287 35682095712 52779766574 79169649861 105559533148 158339299722 211119066296 316678599444 422238132592 633357198888 844476265184 1266714397776 2533428795552