Search a number
-
+
33094500642 = 234733786599
BaseRepresentation
bin11110110100100101…
…100000000100100010
310011102102010211020000
4132310211200010202
51020234143010032
623111534000430
72251053420420
oct366445400442
9104372124200
1033094500642
1113042a8a185
1264b7346116
133175515c78
14185d410110
15cda637e7c
hex7b4960122

33094500642 has 80 divisors (see below), whose sum is σ = 85002403200. Its totient is φ = 9427404672.

The previous prime is 33094500641. The next prime is 33094500731. The reversal of 33094500642 is 24600549033.

33094500642 is a `hidden beast` number, since 3 + 3 + 0 + 9 + 4 + 5 + 0 + 0 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 33094500597 and 33094500606.

It is not an unprimeable number, because it can be changed into a prime (33094500641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 338859 + ... + 425457.

It is an arithmetic number, because the mean of its divisors is an integer number (1062530040).

Almost surely, 233094500642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33094500642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42501201600).

33094500642 is an abundant number, since it is smaller than the sum of its proper divisors (51907902558).

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

33094500642 is a wasteful number, since it uses less digits than its factorization.

33094500642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86957 (or 86948 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 33094500642 in words is "thirty-three billion, ninety-four million, five hundred thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 337 378 567 674 1011 1134 2022 2359 3033 4718 6066 7077 9099 14154 18198 21231 27297 42462 54594 63693 86599 127386 173198 191079 259797 382158 519594 606193 779391 1212386 1558782 1818579 2338173 3637158 4676346 5455737 7014519 10911474 14029038 16367211 29183863 32734422 49101633 58367726 87551589 98203266 175103178 204287041 262654767 408574082 525309534 612861123 787964301 1225722246 1575928602 1838583369 2363892903 3677166738 4727785806 5515750107 11031500214 16547250321 33094500642