Search a number
-
+
33045523664040 = 23325757121259077
BaseRepresentation
bin1111000001110000000101…
…01100110000110010101000
311100000010021100202210000100
413200320002230300302220
513312404213024222130
6154140523132505400
76650313611405016
oct740700254606250
9140003240683010
1033045523664040
11a590589682378
12385853b01b260
1315592444cc464
148235aa2a78b6
153c48cadeac60
hex1e0e02b30ca8

33045523664040 has 96 divisors (see below), whose sum is σ = 107539825915080. Its totient is φ = 8800498699776.

The previous prime is 33045523663981. The next prime is 33045523664059. The reversal of 33045523664040 is 4046632554033.

33045523664040 is a `hidden beast` number, since 3 + 3 + 0 + 4 + 5 + 5 + 236 + 6 + 404 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 26882628043716 + 6162895620324 = 5184846^2 + 2482518^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60357019 + ... + 60902058.

Almost surely, 233045523664040 is an apocalyptic number.

33045523664040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33045523664040 is an abundant number, since it is smaller than the sum of its proper divisors (74494302251040).

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

33045523664040 is a wasteful number, since it uses less digits than its factorization.

33045523664040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121259851 (or 121259844 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 45.

The spelling of 33045523664040 in words is "thirty-three trillion, forty-five billion, five hundred twenty-three million, six hundred sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 757 1514 2271 3028 3785 4542 6056 6813 7570 9084 11355 13626 15140 18168 22710 27252 30280 34065 45420 54504 68130 90840 136260 272520 121259077 242518154 363777231 485036308 606295385 727554462 970072616 1091331693 1212590770 1455108924 1818886155 2182663386 2425181540 2910217848 3637772310 4365326772 4850363080 5456658465 7275544620 8730653544 10913316930 14551089240 21826633860 43653267720 91793121289 183586242578 275379363867 367172485156 458965606445 550758727734 734344970312 826138091601 917931212890 1101517455468 1376896819335 1652276183202 1835862425780 2203034910936 2753793638670 3304552366404 3671724851560 4130690458005 5507587277340 6609104732808 8261380916010 11015174554680 16522761832020 33045523664040