Search a number
-
+
830156009968 = 243148727057
BaseRepresentation
bin11000001010010010010…
…01110111000111110000
32221100202222222202210201
430011021021313013300
5102100124414304333
61433211324204544
7113656016441305
oct14051111670760
92840688882721
10830156009968
112a008147538a
12114a81699754
136038b76605c
142c2733c10ac
15168da98617d
hexc1492771f0

830156009968 has 60 divisors (see below), whose sum is σ = 1663964041152. Its totient is φ = 400806766080.

The previous prime is 830156009927. The next prime is 830156009971. The reversal of 830156009968 is 869900651038.

It is a happy number.

It is a super-2 number, since 2×8301560099682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117632296 + ... + 117639352.

Almost surely, 2830156009968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830156009968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831982020576).

830156009968 is an abundant number, since it is smaller than the sum of its proper divisors (833808031184).

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

830156009968 is an equidigital number, since it uses as much as digits as its factorization.

830156009968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8070 (or 7577 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 55.

The spelling of 830156009968 in words is "eight hundred thirty billion, one hundred fifty-six million, nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 487 496 974 1948 3896 7057 7792 14114 15097 28228 30194 56456 60388 112912 120776 218767 237169 241552 437534 474338 875068 948676 1750136 1897352 3436759 3500272 3794704 6873518 7352239 13747036 14704478 27494072 29408956 54988144 58817912 106539529 117635824 213079058 426158116 852316232 1673701633 1704632464 3347403266 6694806532 13389613064 26779226128 51884750623 103769501246 207539002492 415078004984 830156009968