Search a number
-
+
33373670000680 = 235292992082937
BaseRepresentation
bin1111001011010011010011…
…01111101100100000101000
311101011111021102222212001001
413211221221233230200220
513333243234010010210
6154551352523404344
710013111440266022
oct745515157544050
9141144242885031
1033373670000680
11a6a776a735a09
1238b005a6836b4
13158117b664419
148354195ad012
153cd1d45ca03a
hex1e5a69bec828

33373670000680 has 48 divisors (see below), whose sum is σ = 77769381509820. Its totient is φ = 12889141504512.

The previous prime is 33373670000621. The next prime is 33373670000681. The reversal of 33373670000680 is 8600007637333.

It can be written as a sum of positive squares in 6 ways, for example, as 3983544957924 + 29390125042756 = 1995882^2 + 5421266^2 .

It is a super-4 number, since 4×333736700006804 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 33373670000680.

It is not an unprimeable number, because it can be changed into a prime (33373670000681) 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 11 ways as a sum of consecutive naturals, for example, 496007829 + ... + 496075108.

Almost surely, 233373670000680 is an apocalyptic number.

It is an amenable number.

33373670000680 is an abundant number, since it is smaller than the sum of its proper divisors (44395711509140).

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

33373670000680 is a wasteful number, since it uses less digits than its factorization.

33373670000680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992083006 (or 992082973 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 46.

The spelling of 33373670000680 in words is "thirty-three trillion, three hundred seventy-three billion, six hundred seventy million, six hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 841 1160 1682 3364 4205 6728 8410 16820 33640 992082937 1984165874 3968331748 4960414685 7936663496 9920829370 19841658740 28770405173 39683317480 57540810346 115081620692 143852025865 230163241384 287704051730 575408103460 834341750017 1150816206920 1668683500034 3337367000068 4171708750085 6674734000136 8343417500170 16686835000340 33373670000680