Search a number
-
+
7850259331272 = 23323301992
BaseRepresentation
bin111001000111100011111…
…1010110011100011001000
31000210110220001220021121200
41302033013322303203020
52012104312342100042
624410205341504200
71440106513222641
oct162170772634310
930713801807550
107850259331272
112557304811556
12a69523b72060
1344c378ca3777
141d1d515166c8
15d930b00ec4c
hex723c7eb38c8

7850259331272 has 36 divisors (see below), whose sum is σ = 21261183411195. Its totient is φ = 2616745185648.

The previous prime is 7850259331259. The next prime is 7850259331283. The reversal of 7850259331272 is 2721339520587.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

7850259331272 is a `hidden beast` number, since 7 + 8 + 5 + 0 + 259 + 3 + 312 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3925129665636 + 3925129665636 = 1981194^2 + 1981194^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1981194.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 23609229 + ... + 23939427.

Almost surely, 27850259331272 is an apocalyptic number.

7850259331272 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

7850259331272 is an abundant number, since it is smaller than the sum of its proper divisors (13410924079923).

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

7850259331272 is an frugal number, since it uses more digits than its factorization.

7850259331272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660410 (or 330204 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 7850259331272 in words is "seven trillion, eight hundred fifty billion, two hundred fifty-nine million, three hundred thirty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 330199 660398 990597 1320796 1981194 2641592 2971791 3962388 5943582 7924776 11887164 23774328 109031379601 218062759202 327094138803 436125518404 654188277606 872251036808 981282416409 1308376555212 1962564832818 2616753110424 3925129665636 7850259331272