Search a number
-
+
33025250082552 = 23371340609372367
BaseRepresentation
bin1111000001001010010100…
…10011001011111011111000
311022221011221110110010111220
413200211022103023323320
513312041203010120202
6154123331311352040
76645665324662320
oct740451223137370
9138834843403456
1033025250082552
11a582a25783552
123854621522620
1315573632467b0
14822605928280
153c40e113dabc
hex1e094a4cbef8

33025250082552 has 128 divisors (see below), whose sum is σ = 101618929305600. Its totient is φ = 8709718192128.

The previous prime is 33025250082547. The next prime is 33025250082553. The reversal of 33025250082552 is 25528005252033.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33025250082553) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88503873 + ... + 88876239.

It is an arithmetic number, because the mean of its divisors is an integer number (793897885200).

Almost surely, 233025250082552 is an apocalyptic number.

It is an amenable number.

33025250082552 is an abundant number, since it is smaller than the sum of its proper divisors (68593679223048).

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

33025250082552 is a wasteful number, since it uses less digits than its factorization.

33025250082552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413005 (or 413001 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 42.

The spelling of 33025250082552 in words is "thirty-three trillion, twenty-five billion, two hundred fifty million, eighty-two thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 40609 81218 121827 162436 243654 284263 324872 372367 487308 527917 568526 744734 852789 974616 1055834 1117101 1137052 1489468 1583751 1705578 2111668 2234202 2274104 2606569 2978936 3167502 3411156 3695419 4223336 4468404 4840771 5213138 6335004 6822312 7390838 7819707 8936808 9681542 10426276 11086257 12670008 14522313 14781676 15639414 19363084 20852552 22172514 29044626 29563352 31278828 33885397 38726168 44345028 58089252 62557656 67770794 88690056 101656191 116178504 135541588 203312382 271083176 406624764 813249528 15121451503 30242903006 45364354509 60485806012 90728709018 105850160521 120971612024 181457418036 196578869539 211700321042 317550481563 362914836072 393157739078 423400642084 589736608617 635100963126 786315478156 846801284168 1179473217234 1270201926252 1376052086773 1572630956312 2358946434468 2540403852504 2752104173546 4128156260319 4717892868936 5504208347092 8256312520638 11008416694184 16512625041276 33025250082552