Search a number
-
+
9083086036157 = 719324159946573
BaseRepresentation
bin1000010000101101001000…
…0111011101110010111101
31012011100000212211210002202
42010023102013131302331
52142304130011124112
631152413452401245
71625142224265650
oct204132207356275
935140025753082
109083086036157
11299212a2a9911
121028443176225
1350b6ba4709b3
142358a3661897
1510b412a866c2
hex842d21ddcbd

9083086036157 has 32 divisors (see below), whose sum is σ = 10495469529600. Its totient is φ = 7699983482880.

The previous prime is 9083086036151. The next prime is 9083086036223. The reversal of 9083086036157 is 7516306803809.

9083086036157 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-9083086036157 is a prime.

It is a super-2 number, since 2×90830860361572 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9083086036151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195005723 + ... + 195052295.

It is an arithmetic number, because the mean of its divisors is an integer number (327983422800).

Almost surely, 29083086036157 is an apocalyptic number.

It is an amenable number.

9083086036157 is a deficient number, since it is larger than the sum of its proper divisors (1412383493443).

9083086036157 is a wasteful number, since it uses less digits than its factorization.

9083086036157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47613.

The product of its (nonzero) digits is 6531840, while the sum is 56.

The spelling of 9083086036157 in words is "nine trillion, eighty-three billion, eighty-six million, thirty-six thousand, one hundred fifty-seven".

Divisors: 1 7 193 241 599 1351 1687 4193 46513 46573 115607 144359 325591 326011 809249 1010513 8988589 11224093 27861287 27897227 62920123 78568651 195029009 195280589 2166249949 5384164811 6723231707 15163749643 37689153677 47062621949 1297583719451 9083086036157